125 Publikationen

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[125]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723
Large ball probabilities, Gaussian comparison and anti-concentration
Götze, Friedrich, Large ball probabilities, Gaussian comparison and anti-concentration. Bernoulli 25 (4A). , 2019
PUB | DOI | WoS
 
[124]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741
Higher order concentration for functions of weakly dependent random variables
Götze, Friedrich, Higher order concentration for functions of weakly dependent random variables. Electronic Journal of Probability 24 (). , 2019
PUB | DOI | WoS
 
[123]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338
Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I
Bobkov, S. G., Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I. IEEE Transactions on Information Theory 65 (9). , 2019
PUB | DOI | WoS
 
[122]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936961
Journal of Applied Probability
Götze, Friedrich, Journal of Applied Probability. Journal of Applied Probability 56 (1). , 2019
PUB | DOI | WoS
 
[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
On Optimal Bounds in the Local Semicircle Law under Four Moment Condition
Götze, Friedrich, On Optimal Bounds in the Local Semicircle Law under Four Moment Condition. DOKLADY MATHEMATICS 99 (1). , 2019
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Higher order concentration of measure
Bobkov, Sergey C., Higher order concentration of measure. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21 (3). , 2019
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM
Bobkov, S. G., RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM. ANNALS OF PROBABILITY 47 (1). , 2019
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
On the local semicircular law for Wigner ensembles
Götze, Friedrich, On the local semicircular law for Wigner ensembles. BERNOULLI 24 (3). , 2018
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION
Götze, Friedrich, LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION. THEORY OF PROBABILITY AND ITS APPLICATIONS 62 (1). , 2018
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM
Götze, Friedrich, ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM. THEORY OF PROBABILITY AND ITS APPLICATIONS 62 (2). , 2018
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES
Prokhorov, Yu. V., ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES. THEORY OF PROBABILITY AND ITS APPLICATIONS 62 (1). , 2018
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
New applications of Arak's inequalities to the Littlewood-Offord problem
Götze, Friedrich, New applications of Arak's inequalities to the Littlewood-Offord problem. EUROPEAN JOURNAL OF MATHEMATICS 4 (2). , 2018
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Berry-Esseen bounds for typical weighted sums
Bobkov, S. G., Berry-Esseen bounds for typical weighted sums. ELECTRONIC JOURNAL OF PROBABILITY 23 (). , 2018
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Distribution of linear statistics of singular values of the product of random matrices
Götze, Friedrich, Distribution of linear statistics of singular values of the product of random matrices. Bernoulli 23 (4B). , 2017
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
On algebraic integers in short intervals and near smooth curves
Götze, Friedrich, On algebraic integers in short intervals and near smooth curves. ACTA ARITHMETICA 179 (3). , 2017
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Exact upper bounds for the number of the polynomials with given discriminants
Bernik, Vasili, Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL 57 (3). , 2017
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Asymptotic Analysis of Symmetric Functions
Götze, Friedrich, Asymptotic Analysis of Symmetric Functions. JOURNAL OF THEORETICAL PROBABILITY 30 (3). , 2017
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Second-order concentration on the sphere
Bobkov, Sergey G., Second-order concentration on the sphere. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 19 (5). , 2017
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS
Götze, Friedrich, DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145 (1). , 2017
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Local Laws for Non-Hermitian Random Matrices
Götze, Friedrich, Local Laws for Non-Hermitian Random Matrices. DOKLADY MATHEMATICS 96 (3). , 2017
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Integral polynomials with small discriminants and resultants
Beresnevich, Victor, Integral polynomials with small discriminants and resultants. ADVANCES IN MATHEMATICS 298 (). , 2016
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Optimal bounds for convergence of expected spectral distributions to the semi-circular law
Götze, Friedrich, Optimal bounds for convergence of expected spectral distributions to the semi-circular law. PROBABILITY THEORY AND RELATED FIELDS 165 (1-2). , 2016
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Regularized distributions and entropic stability of Cramer's characterization of the normal law
Bobkov, S. G., Regularized distributions and entropic stability of Cramer's characterization of the normal law. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126 (12). , 2016
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Arak's inequalities for concentration functions and the Littlewood-Offord problem
Götze, Friedrich, Arak's inequalities for concentration functions and the Littlewood-Offord problem. DOKLADY MATHEMATICS 93 (2). , 2016
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES
Götze, Friedrich, ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES. Acta Physica Polonica B 46 (9). , 2015
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES
Götze, Friedrich, LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES. THEORY OF PROBABILITY AND ITS APPLICATIONS 59 (1). , 2015
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
On minimal singular values of random matrices with correlated entries
Götze, Friedrich, On minimal singular values of random matrices with correlated entries. RANDOM MATRICES-THEORY AND APPLICATIONS 4 (2). , 2015
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Asymptotic spectra of matrix-valued functions of independent random matrices and free probability
Götze, Friedrich, Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS 4 (2). , 2015
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Distribution of real algebraic numbers of arbitrary degree in short intervals
Bernik, V. I., Distribution of real algebraic numbers of arbitrary degree in short intervals. Izvestiya Mathematics 79 (1). , 2015
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Radial spacing distributions from planar point sets
Baake, Michael, Radial spacing distributions from planar point sets. Acta crystallographica. Section A, Foundations and advances 70 (Pt 5). , 2014
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS
Götze, Friedrich, EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS. The Annals of Probability 42 (1). , 2014
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Distance between conjugate algebraic numbers in clusters
Budarina, N. V., Distance between conjugate algebraic numbers in clusters. Mathematical Notes 94 (5-6). , 2014
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES
Götze, Friedrich, LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES. The Annals of Probability 42 (6). , 2014
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Fisher information and convergence to stable laws
Bobkov, S. G., Fisher information and convergence to stable laws. Bernoulli 20 (3). , 2014
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
On algebraic points in the plane near smooth curves
Bernik, Vasilii, On algebraic points in the plane near smooth curves. Lithuanian Mathematical Journal 54 (3). , 2014
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Berry-Esseen bounds in the entropic central limit theorem
Bobkov, Sergey G., Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields 159 (3-4). , 2014
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Fisher information and the central limit theorem
Bobkov, Sergey G., Fisher information and the central limit theorem. Probability Theory and Related Fields 159 (1-2). , 2014
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Preferred Attachment in Affiliation Networks
Bloznelis, Mindaugas, Preferred Attachment in Affiliation Networks. Journal of Statistical Physics 156 (4). , 2014
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
The asymptotic number of integral cubic polynomials with bounded heights and discriminants
Kaliada, Dzianis, The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Lithuanian Mathematical Journal 54 (2). , 2014
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
THE TIMES OF YURI VASILYEVICH PROKHOROV
Götze, Friedrich, THE TIMES OF YURI VASILYEVICH PROKHOROV. Theory Of Probability & Its Applications 57 (2). , 2013
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Convergence to Stable Laws in Relative Entropy
Bobkov, S. G., Convergence to Stable Laws in Relative Entropy. Journal Of Theoretical Probability 26 (3). , 2013
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Asymptotic expansions in the CLT in free probability
Chistyakov, Gennadiy, Asymptotic expansions in the CLT in free probability. Probability Theory And Related Fields 157 (1-2). , 2013
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS
Bobkov, S. G., STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS. Theory Of Probability & Its Applications 57 (4). , 2013
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM
Bobkov, Sergey G., RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM. The Annals Of Probability 41 (4). , 2013
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH
Bloznelis, Mindaugas, BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH. Journal of Applied Probability 49 (3). , 2012
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS
Götze, Friedrich, ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS. Theory Of Probability & Its Applications 56 (4). , 2012
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bounds for characteristic functions in terms of quantiles and entropy
Bobkov, S. G., Bounds for characteristic functions in terms of quantiles and entropy. ELECTRONIC COMMUNICATIONS IN PROBABILITY 17 (). , 2012
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Freeness of linear and quadratic forms in von Neumann algebras
Chistyakov, Gennadiy, Freeness of linear and quadratic forms in von Neumann algebras. Journal of Functional Analysis 261 (10). , 2011
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
The arithmetic of distributions in free probability theory
Chistyakov, Gennadiy, The arithmetic of distributions in free probability theory. Central European Journal of Mathematics 9 (5). , 2011
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM
Bloznelis, M., VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM. Lithuanian Mathematical Journal 50 (4). , 2010
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES
Alexeev, N., ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES. LITHUANIAN MATHEMATICAL JOURNAL 50 (2). , 2010
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
On Concentration of Empirical Measures and Convergence to the Semi-circle Law
Bobkov, S. G., On Concentration of Empirical Measures and Convergence to the Semi-circle Law. JOURNAL OF THEORETICAL PROBABILITY 23 (3). , 2010
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES
Götze, Friedrich, THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES. THEORY OF PROBABILITY AND ITS APPLICATIONS 54 (1). , 2010
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
On the Singular Spectrum of Powers and Products of Random Matrices
Alexeev, N. V., On the Singular Spectrum of Powers and Products of Random Matrices. DOKLADY MATHEMATICS 82 (1). , 2010
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
THE CIRCULAR LAW FOR RANDOM MATRICES
Götze, Friedrich, THE CIRCULAR LAW FOR RANDOM MATRICES. ANNALS OF PROBABILITY 38 (4). , 2010
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
Concentration of empirical distribution functions with applications to non-i.i.d. models
Bobkov, S. G., Concentration of empirical distribution functions with applications to non-i.i.d. models. Bernoulli 16 (4). , 2010
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
The distribution of close conjugate algebraic numbers
Beresnevich, Victor, The distribution of close conjugate algebraic numbers. COMPOSITIO MATHEMATICA 146 (5). , 2010
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE
Götze, Friedrich, BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE. THEORY OF PROBABILITY AND ITS APPLICATIONS 53 (1). , 2009
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix
Götze, Friedrich, On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix. COMMUNICATIONS IN MATHEMATICAL PHYSICS 285 (3). , 2009
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Lower bounds for the number of integral polynomials with given order of discriminants
Bernik, Vasili, Lower bounds for the number of integral polynomials with given order of discriminants. ACTA ARITHMETICA 133 (4). , 2008
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
On the divisibility of the discriminant of an integral polynomial by prime powers
Bernik, V., On the divisibility of the discriminant of an integral polynomial by prime powers. LITHUANIAN MATHEMATICAL JOURNAL 48 (4). , 2008
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Limit theorems in free probability theory I
Chistyakov, Gennadiy, Limit theorems in free probability theory I. ANNALS OF PROBABILITY 36 (1). , 2008
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Limit theorems in free probability theory II
Chistyakov, Gennadiy, Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6 (1). , 2008
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Limit correlation functions for fixed trace random matrix ensembles
Götze, Friedrich, Limit correlation functions for fixed trace random matrix ensembles. COMMUNICATIONS IN MATHEMATICAL PHYSICS 281 (1). , 2008
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Independence of linear forms with random coefficients
Chistyakov, Gennadiy, Independence of linear forms with random coefficients. PROBABILITY THEORY AND RELATED FIELDS 137 (1-2). , 2007
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble
Götze, Friedrich, Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5 (2). , 2007
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Concentration inequalities and limit theorems for randomized sums
Bobkov, Sergey G., Concentration inequalities and limit theorems for randomized sums. PROBABILITY THEORY AND RELATED FIELDS 137 (1-2). , 2007
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space
Bogatyrev, S. A., Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space. JOURNAL OF MULTIVARIATE ANALYSIS 97 (9). , 2006
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Limit theorems for spectra of random matrices with martingale structure
Götze, Friedrich, Limit theorems for spectra of random matrices with martingale structure. THEORY OF PROBABILITY AND ITS APPLICATIONS 51 (1). , 2006
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Asymptotic expansions in non-central limit theorems for quadratic forms
Götze, Friedrich, Asymptotic expansions in non-central limit theorems for quadratic forms. JOURNAL OF THEORETICAL PROBABILITY 18 (4). , 2005
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors
Gine, E, On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors. ELECTRONIC COMMUNICATIONS IN PROBABILITY 9 (). , 2004
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Rate of convergence in probability to the Marchenko-Pastur law
Götze, Friedrich, Rate of convergence in probability to the Marchenko-Pastur law. BERNOULLI 10 (3). , 2004
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
Limiting distributions of theta series on Siegel half-spaces
Götze, Friedrich, Limiting distributions of theta series on Siegel half-spaces. St. Petersburg mathematical journal 15 (1). , 2004
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
Distribution of the shape of Markovian random words
Chistyakov, Gennadiy, Distribution of the shape of Markovian random words. PROBABILITY THEORY AND RELATED FIELDS 129 (1). , 2004
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Limit distributions of studentized means
Chistyakov, Gennadiy, Limit distributions of studentized means. ANNALS OF PROBABILITY 32 (1A). , 2004
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Lattice point problems and values of quadratic forms
Götze, Friedrich, Lattice point problems and values of quadratic forms. INVENTIONES MATHEMATICAE 157 (1). , 2004
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
On bounds for moderate deviations for student's statistic
Chistyakov, Gennadiy, On bounds for moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS 48 (3). , 2003
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Rate of convergence to the semi-circular law
Götze, Friedrich, Rate of convergence to the semi-circular law. PROBABILITY THEORY AND RELATED FIELDS 127 (2). , 2003
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
On the central limit theorem along subsequences of noncorrelated observations
Bobkov, SG, On the central limit theorem along subsequences of noncorrelated observations. THEORY OF PROBABILITY AND ITS APPLICATIONS 48 (4). , 2003
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Asymptotic distribution of quadratic forms and applications
Götze, Friedrich, Asymptotic distribution of quadratic forms and applications. JOURNAL OF THEORETICAL PROBABILITY 15 (2). , 2002
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
An Edgeworth expansion for symmetric finite population statistics
Bloznelis, M, An Edgeworth expansion for symmetric finite population statistics. ANNALS OF PROBABILITY 30 (3). , 2002
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
Moderate deviations for student's statistic
Chistyakov, Gennadiy, Moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS 47 (3). , 2002
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Rate of convergence to the semicircular law for the Gaussian unitary ensemble
Götze, Friedrich, Rate of convergence to the semicircular law for the Gaussian unitary ensemble. THEORY OF PROBABILITY AND ITS APPLICATIONS 47 (2). , 2002
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
Lattice points in multidimensional bodies
Bentkus, V, Lattice points in multidimensional bodies. FORUM MATHEMATICUM 13 (2). , 2001
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
On Gaussian and Bernoulli covariance representations
Bobkov, SG, On Gaussian and Bernoulli covariance representations. BERNOULLI 7 (3). , 2001
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952
Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics
Bloznelis, M, Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. ANNALS OF STATISTICS 29 (3). , 2001
PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
An edgeworth expansion for finite-population U-statistics
Bloznelis, M, An edgeworth expansion for finite-population U-statistics. BERNOULLI 6 (4). , 2000
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
Discrete isoperimetric and Poincare-type inequalities
Bobkov, SG, Discrete isoperimetric and Poincare-type inequalities. PROBABILITY THEORY AND RELATED FIELDS 114 (2). , 1999
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
Lattice point problems and distribution of values of quadratic forms
Bentkus, V, Lattice point problems and distribution of values of quadratic forms. ANNALS OF MATHEMATICS 150 (3). , 1999
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
One-term Edgeworth expansion for finite population U-statistics of degree two
Bloznelis, M, One-term Edgeworth expansion for finite population U-statistics of degree two. ACTA APPLICANDAE MATHEMATICAE 58 (1-3). , 1999
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
Optimal bounds in non-Gaussian limit theorems for U-statistics
Bentkus, V, Optimal bounds in non-Gaussian limit theorems for U-statistics. ANNALS OF PROBABILITY 27 (1). , 1999
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
Exponential integrability and transportation cost related to logarithmic sobolev inequalities
Bobkov, SG, Exponential integrability and transportation cost related to logarithmic sobolev inequalities. JOURNAL OF FUNCTIONAL ANALYSIS 163 (1). , 1999
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
Asymptotic distribution of quadratic forms
Götze, Friedrich, Asymptotic distribution of quadratic forms. ANNALS OF PROBABILITY 27 (2). , 1999
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
Approximation of quadratic forms of independent random vectors by accompanying laws
Bentkus, V, Approximation of quadratic forms of independent random vectors by accompanying laws. THEORY OF PROBABILITY AND ITS APPLICATIONS 42 (2). , 1998
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
On smooth behavior of probability distributions under polynomial mappings
Götze, Friedrich, On smooth behavior of probability distributions under polynomial mappings. THEORY OF PROBABILITY AND ITS APPLICATIONS 42 (1). , 1998
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
On moments of polynomials
Bobkov, SG, On moments of polynomials. THEORY OF PROBABILITY AND ITS APPLICATIONS 42 (3). , 1998
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Estimates for the rapid decay of concentration functions of n-fold convolutions
Götze, Friedrich, Estimates for the rapid decay of concentration functions of n-fold convolutions. JOURNAL OF THEORETICAL PROBABILITY 11 (3). , 1998
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Lattice point problems and the central limit theorem in Euclidean spaces
Götze, Friedrich, Lattice point problems and the central limit theorem in Euclidean spaces. Documenta Mathematica 1998 (Extra Vol. III). , 1998
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"
Götze, Friedrich, Errata: "Lattice point problems and the central limit theorem in Euclidean spaces". Documenta Mathematica 1998 (Extra Vol. I). , 1998
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Berry-Esseen bounds for statistics of weakly dependent samples
Bentkus, V, Berry-Esseen bounds for statistics of weakly dependent samples. BERNOULLI 3 (3). , 1997
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
A Berry-Esseen bound for M-estimators
Bentkus, V, A Berry-Esseen bound for M-estimators. SCANDINAVIAN JOURNAL OF STATISTICS 24 (4). , 1997
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698
Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces
Bentkus, V, Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces. PROBABILITY THEORY AND RELATED FIELDS 109 (3). , 1997
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
On the lattice point problem for ellipsoids
Bentkus, V, On the lattice point problem for ellipsoids. ACTA ARITHMETICA 80 (2). , 1997
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
When is the student t-statistic asymptotically standard normal?
Gine, E, When is the student t-statistic asymptotically standard normal?. ANNALS OF PROBABILITY 25 (3). , 1997
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
Resampling fewer than n observations: Gains, losses, and remedies for losses
Bickel, PJ, Resampling fewer than n observations: Gains, losses, and remedies for losses. STATISTICA SINICA 7 (1). , 1997
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
An Edgeworth expansion for symmetric statistics
Bentkus, V, An Edgeworth expansion for symmetric statistics. ANNALS OF STATISTICS 25 (2). , 1997
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
On minimal moment assumptions in Berry-Esseen theorems for U-statistics
Bentkus, V, On minimal moment assumptions in Berry-Esseen theorems for U-statistics. THEORY OF PROBABILITY AND ITS APPLICATIONS 40 (3). , 1996
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
Bounds for characteristic functions of polynomials in asymptotically normal random variables
Götze, Friedrich, Bounds for characteristic functions of polynomials in asymptotically normal random variables. RUSSIAN MATHEMATICAL SURVEYS 51 (2). , 1996
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739
A Berry-Esseen bound for student's statistic in the non-iid case
Bentkus, V, A Berry-Esseen bound for student's statistic in the non-iid case. JOURNAL OF THEORETICAL PROBABILITY 9 (3). , 1996
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
Bounds for the accuracy of Poissonian approximations of stable laws
Bentkus, V, Bounds for the accuracy of Poissonian approximations of stable laws. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65 (1). , 1996
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
Second-order correctness of the blockwise bootstrap for stationary observations
Götze, Friedrich, Second-order correctness of the blockwise bootstrap for stationary observations. ANNALS OF STATISTICS 24 (5). , 1996
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
The Berry-Esseen bound for student's statistic
Bentkus, V, The Berry-Esseen bound for student's statistic. ANNALS OF PROBABILITY 24 (1). , 1996
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
Optimal rates of convergence in the CLT for quadratic forms
Bentkus, V, Optimal rates of convergence in the CLT for quadratic forms. ANNALS OF PROBABILITY 24 (1). , 1996
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION
Götze, Friedrich, M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION. SCANDINAVIAN JOURNAL OF STATISTICS 22 (2). , 1995
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS
Bentkus, V, ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS. DOKLADY AKADEMII NAUK 343 (4). , 1995
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES
Götze, Friedrich, ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES. ANNALS OF STATISTICS 22 (4). , 1994
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES
Bentkus, V, ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES. PROBABILITY THEORY AND RELATED FIELDS 96 (2). , 1993
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS
Bolthausen, E, THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS. ANNALS OF STATISTICS 21 (4). , 1993
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT
Götze, Friedrich, ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT. ANNALS OF PROBABILITY 19 (2). , 1991
PUB | DOI | WoS
 
[6]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279
LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD
Götze, Friedrich, LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD. ANNALS OF PROBABILITY 18 (2). , 1990
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS
Götze, Friedrich, EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS. ANNALS OF PROBABILITY 17 (4). , 1989
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS
Götze, Friedrich, ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS. PROBABILITY THEORY AND RELATED FIELDS 82 (3). , 1989
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS
Götze, Friedrich, APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS. JOURNAL OF MULTIVARIATE ANALYSIS 22 (2). , 1987
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES
Götze, Friedrich, ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES. ANNALS OF PROBABILITY 14 (3). , 1986
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2
Bickel, PJ, THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2. ANNALS OF STATISTICS 14 (4). , 1986
PUB | DOI | WoS
 

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[125]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723
Large ball probabilities, Gaussian comparison and anti-concentration
Götze, Friedrich, Large ball probabilities, Gaussian comparison and anti-concentration. Bernoulli 25 (4A). , 2019
PUB | DOI | WoS
 
[124]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741
Higher order concentration for functions of weakly dependent random variables
Götze, Friedrich, Higher order concentration for functions of weakly dependent random variables. Electronic Journal of Probability 24 (). , 2019
PUB | DOI | WoS
 
[123]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338
Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I
Bobkov, S. G., Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I. IEEE Transactions on Information Theory 65 (9). , 2019
PUB | DOI | WoS
 
[122]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936961
Journal of Applied Probability
Götze, Friedrich, Journal of Applied Probability. Journal of Applied Probability 56 (1). , 2019
PUB | DOI | WoS
 
[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
On Optimal Bounds in the Local Semicircle Law under Four Moment Condition
Götze, Friedrich, On Optimal Bounds in the Local Semicircle Law under Four Moment Condition. DOKLADY MATHEMATICS 99 (1). , 2019
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Higher order concentration of measure
Bobkov, Sergey C., Higher order concentration of measure. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21 (3). , 2019
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM
Bobkov, S. G., RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM. ANNALS OF PROBABILITY 47 (1). , 2019
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
On the local semicircular law for Wigner ensembles
Götze, Friedrich, On the local semicircular law for Wigner ensembles. BERNOULLI 24 (3). , 2018
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION
Götze, Friedrich, LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION. THEORY OF PROBABILITY AND ITS APPLICATIONS 62 (1). , 2018
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM
Götze, Friedrich, ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM. THEORY OF PROBABILITY AND ITS APPLICATIONS 62 (2). , 2018
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES
Prokhorov, Yu. V., ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES. THEORY OF PROBABILITY AND ITS APPLICATIONS 62 (1). , 2018
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
New applications of Arak's inequalities to the Littlewood-Offord problem
Götze, Friedrich, New applications of Arak's inequalities to the Littlewood-Offord problem. EUROPEAN JOURNAL OF MATHEMATICS 4 (2). , 2018
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Berry-Esseen bounds for typical weighted sums
Bobkov, S. G., Berry-Esseen bounds for typical weighted sums. ELECTRONIC JOURNAL OF PROBABILITY 23 (). , 2018
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Distribution of linear statistics of singular values of the product of random matrices
Götze, Friedrich, Distribution of linear statistics of singular values of the product of random matrices. Bernoulli 23 (4B). , 2017
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
On algebraic integers in short intervals and near smooth curves
Götze, Friedrich, On algebraic integers in short intervals and near smooth curves. ACTA ARITHMETICA 179 (3). , 2017
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Exact upper bounds for the number of the polynomials with given discriminants
Bernik, Vasili, Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL 57 (3). , 2017
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Asymptotic Analysis of Symmetric Functions
Götze, Friedrich, Asymptotic Analysis of Symmetric Functions. JOURNAL OF THEORETICAL PROBABILITY 30 (3). , 2017
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Second-order concentration on the sphere
Bobkov, Sergey G., Second-order concentration on the sphere. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 19 (5). , 2017
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS
Götze, Friedrich, DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145 (1). , 2017
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Local Laws for Non-Hermitian Random Matrices
Götze, Friedrich, Local Laws for Non-Hermitian Random Matrices. DOKLADY MATHEMATICS 96 (3). , 2017
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Integral polynomials with small discriminants and resultants
Beresnevich, Victor, Integral polynomials with small discriminants and resultants. ADVANCES IN MATHEMATICS 298 (). , 2016
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Optimal bounds for convergence of expected spectral distributions to the semi-circular law
Götze, Friedrich, Optimal bounds for convergence of expected spectral distributions to the semi-circular law. PROBABILITY THEORY AND RELATED FIELDS 165 (1-2). , 2016
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Regularized distributions and entropic stability of Cramer's characterization of the normal law
Bobkov, S. G., Regularized distributions and entropic stability of Cramer's characterization of the normal law. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126 (12). , 2016
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Arak's inequalities for concentration functions and the Littlewood-Offord problem
Götze, Friedrich, Arak's inequalities for concentration functions and the Littlewood-Offord problem. DOKLADY MATHEMATICS 93 (2). , 2016
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES
Götze, Friedrich, ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES. Acta Physica Polonica B 46 (9). , 2015
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES
Götze, Friedrich, LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES. THEORY OF PROBABILITY AND ITS APPLICATIONS 59 (1). , 2015
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
On minimal singular values of random matrices with correlated entries
Götze, Friedrich, On minimal singular values of random matrices with correlated entries. RANDOM MATRICES-THEORY AND APPLICATIONS 4 (2). , 2015
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Asymptotic spectra of matrix-valued functions of independent random matrices and free probability
Götze, Friedrich, Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS 4 (2). , 2015
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Distribution of real algebraic numbers of arbitrary degree in short intervals
Bernik, V. I., Distribution of real algebraic numbers of arbitrary degree in short intervals. Izvestiya Mathematics 79 (1). , 2015
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Radial spacing distributions from planar point sets
Baake, Michael, Radial spacing distributions from planar point sets. Acta crystallographica. Section A, Foundations and advances 70 (Pt 5). , 2014
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS
Götze, Friedrich, EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS. The Annals of Probability 42 (1). , 2014
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Distance between conjugate algebraic numbers in clusters
Budarina, N. V., Distance between conjugate algebraic numbers in clusters. Mathematical Notes 94 (5-6). , 2014
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES
Götze, Friedrich, LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES. The Annals of Probability 42 (6). , 2014
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Fisher information and convergence to stable laws
Bobkov, S. G., Fisher information and convergence to stable laws. Bernoulli 20 (3). , 2014
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
On algebraic points in the plane near smooth curves
Bernik, Vasilii, On algebraic points in the plane near smooth curves. Lithuanian Mathematical Journal 54 (3). , 2014
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Berry-Esseen bounds in the entropic central limit theorem
Bobkov, Sergey G., Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields 159 (3-4). , 2014
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Fisher information and the central limit theorem
Bobkov, Sergey G., Fisher information and the central limit theorem. Probability Theory and Related Fields 159 (1-2). , 2014
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Preferred Attachment in Affiliation Networks
Bloznelis, Mindaugas, Preferred Attachment in Affiliation Networks. Journal of Statistical Physics 156 (4). , 2014
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
The asymptotic number of integral cubic polynomials with bounded heights and discriminants
Kaliada, Dzianis, The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Lithuanian Mathematical Journal 54 (2). , 2014
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
THE TIMES OF YURI VASILYEVICH PROKHOROV
Götze, Friedrich, THE TIMES OF YURI VASILYEVICH PROKHOROV. Theory Of Probability & Its Applications 57 (2). , 2013
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Convergence to Stable Laws in Relative Entropy
Bobkov, S. G., Convergence to Stable Laws in Relative Entropy. Journal Of Theoretical Probability 26 (3). , 2013
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Asymptotic expansions in the CLT in free probability
Chistyakov, Gennadiy, Asymptotic expansions in the CLT in free probability. Probability Theory And Related Fields 157 (1-2). , 2013
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS
Bobkov, S. G., STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS. Theory Of Probability & Its Applications 57 (4). , 2013
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM
Bobkov, Sergey G., RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM. The Annals Of Probability 41 (4). , 2013
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH
Bloznelis, Mindaugas, BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH. Journal of Applied Probability 49 (3). , 2012
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS
Götze, Friedrich, ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS. Theory Of Probability & Its Applications 56 (4). , 2012
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bounds for characteristic functions in terms of quantiles and entropy
Bobkov, S. G., Bounds for characteristic functions in terms of quantiles and entropy. ELECTRONIC COMMUNICATIONS IN PROBABILITY 17 (). , 2012
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Freeness of linear and quadratic forms in von Neumann algebras
Chistyakov, Gennadiy, Freeness of linear and quadratic forms in von Neumann algebras. Journal of Functional Analysis 261 (10). , 2011
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
The arithmetic of distributions in free probability theory
Chistyakov, Gennadiy, The arithmetic of distributions in free probability theory. Central European Journal of Mathematics 9 (5). , 2011
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM
Bloznelis, M., VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM. Lithuanian Mathematical Journal 50 (4). , 2010
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES
Alexeev, N., ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES. LITHUANIAN MATHEMATICAL JOURNAL 50 (2). , 2010
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
On Concentration of Empirical Measures and Convergence to the Semi-circle Law
Bobkov, S. G., On Concentration of Empirical Measures and Convergence to the Semi-circle Law. JOURNAL OF THEORETICAL PROBABILITY 23 (3). , 2010
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES
Götze, Friedrich, THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES. THEORY OF PROBABILITY AND ITS APPLICATIONS 54 (1). , 2010
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
On the Singular Spectrum of Powers and Products of Random Matrices
Alexeev, N. V., On the Singular Spectrum of Powers and Products of Random Matrices. DOKLADY MATHEMATICS 82 (1). , 2010
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
THE CIRCULAR LAW FOR RANDOM MATRICES
Götze, Friedrich, THE CIRCULAR LAW FOR RANDOM MATRICES. ANNALS OF PROBABILITY 38 (4). , 2010
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
Concentration of empirical distribution functions with applications to non-i.i.d. models
Bobkov, S. G., Concentration of empirical distribution functions with applications to non-i.i.d. models. Bernoulli 16 (4). , 2010
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
The distribution of close conjugate algebraic numbers
Beresnevich, Victor, The distribution of close conjugate algebraic numbers. COMPOSITIO MATHEMATICA 146 (5). , 2010
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE
Götze, Friedrich, BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE. THEORY OF PROBABILITY AND ITS APPLICATIONS 53 (1). , 2009
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix
Götze, Friedrich, On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix. COMMUNICATIONS IN MATHEMATICAL PHYSICS 285 (3). , 2009
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Lower bounds for the number of integral polynomials with given order of discriminants
Bernik, Vasili, Lower bounds for the number of integral polynomials with given order of discriminants. ACTA ARITHMETICA 133 (4). , 2008
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
On the divisibility of the discriminant of an integral polynomial by prime powers
Bernik, V., On the divisibility of the discriminant of an integral polynomial by prime powers. LITHUANIAN MATHEMATICAL JOURNAL 48 (4). , 2008
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Limit theorems in free probability theory I
Chistyakov, Gennadiy, Limit theorems in free probability theory I. ANNALS OF PROBABILITY 36 (1). , 2008
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Limit theorems in free probability theory II
Chistyakov, Gennadiy, Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6 (1). , 2008
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Limit correlation functions for fixed trace random matrix ensembles
Götze, Friedrich, Limit correlation functions for fixed trace random matrix ensembles. COMMUNICATIONS IN MATHEMATICAL PHYSICS 281 (1). , 2008
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Independence of linear forms with random coefficients
Chistyakov, Gennadiy, Independence of linear forms with random coefficients. PROBABILITY THEORY AND RELATED FIELDS 137 (1-2). , 2007
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble
Götze, Friedrich, Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5 (2). , 2007
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Concentration inequalities and limit theorems for randomized sums
Bobkov, Sergey G., Concentration inequalities and limit theorems for randomized sums. PROBABILITY THEORY AND RELATED FIELDS 137 (1-2). , 2007
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space
Bogatyrev, S. A., Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space. JOURNAL OF MULTIVARIATE ANALYSIS 97 (9). , 2006
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Limit theorems for spectra of random matrices with martingale structure
Götze, Friedrich, Limit theorems for spectra of random matrices with martingale structure. THEORY OF PROBABILITY AND ITS APPLICATIONS 51 (1). , 2006
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Asymptotic expansions in non-central limit theorems for quadratic forms
Götze, Friedrich, Asymptotic expansions in non-central limit theorems for quadratic forms. JOURNAL OF THEORETICAL PROBABILITY 18 (4). , 2005
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors
Gine, E, On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors. ELECTRONIC COMMUNICATIONS IN PROBABILITY 9 (). , 2004
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Rate of convergence in probability to the Marchenko-Pastur law
Götze, Friedrich, Rate of convergence in probability to the Marchenko-Pastur law. BERNOULLI 10 (3). , 2004
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
Limiting distributions of theta series on Siegel half-spaces
Götze, Friedrich, Limiting distributions of theta series on Siegel half-spaces. St. Petersburg mathematical journal 15 (1). , 2004
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
Distribution of the shape of Markovian random words
Chistyakov, Gennadiy, Distribution of the shape of Markovian random words. PROBABILITY THEORY AND RELATED FIELDS 129 (1). , 2004
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Limit distributions of studentized means
Chistyakov, Gennadiy, Limit distributions of studentized means. ANNALS OF PROBABILITY 32 (1A). , 2004
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Lattice point problems and values of quadratic forms
Götze, Friedrich, Lattice point problems and values of quadratic forms. INVENTIONES MATHEMATICAE 157 (1). , 2004
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
On bounds for moderate deviations for student's statistic
Chistyakov, Gennadiy, On bounds for moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS 48 (3). , 2003
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Rate of convergence to the semi-circular law
Götze, Friedrich, Rate of convergence to the semi-circular law. PROBABILITY THEORY AND RELATED FIELDS 127 (2). , 2003
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
On the central limit theorem along subsequences of noncorrelated observations
Bobkov, SG, On the central limit theorem along subsequences of noncorrelated observations. THEORY OF PROBABILITY AND ITS APPLICATIONS 48 (4). , 2003
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Asymptotic distribution of quadratic forms and applications
Götze, Friedrich, Asymptotic distribution of quadratic forms and applications. JOURNAL OF THEORETICAL PROBABILITY 15 (2). , 2002
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
An Edgeworth expansion for symmetric finite population statistics
Bloznelis, M, An Edgeworth expansion for symmetric finite population statistics. ANNALS OF PROBABILITY 30 (3). , 2002
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
Moderate deviations for student's statistic
Chistyakov, Gennadiy, Moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS 47 (3). , 2002
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Rate of convergence to the semicircular law for the Gaussian unitary ensemble
Götze, Friedrich, Rate of convergence to the semicircular law for the Gaussian unitary ensemble. THEORY OF PROBABILITY AND ITS APPLICATIONS 47 (2). , 2002
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
Lattice points in multidimensional bodies
Bentkus, V, Lattice points in multidimensional bodies. FORUM MATHEMATICUM 13 (2). , 2001
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
On Gaussian and Bernoulli covariance representations
Bobkov, SG, On Gaussian and Bernoulli covariance representations. BERNOULLI 7 (3). , 2001
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952
Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics
Bloznelis, M, Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. ANNALS OF STATISTICS 29 (3). , 2001
PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
An edgeworth expansion for finite-population U-statistics
Bloznelis, M, An edgeworth expansion for finite-population U-statistics. BERNOULLI 6 (4). , 2000
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
Discrete isoperimetric and Poincare-type inequalities
Bobkov, SG, Discrete isoperimetric and Poincare-type inequalities. PROBABILITY THEORY AND RELATED FIELDS 114 (2). , 1999
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
Lattice point problems and distribution of values of quadratic forms
Bentkus, V, Lattice point problems and distribution of values of quadratic forms. ANNALS OF MATHEMATICS 150 (3). , 1999
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
One-term Edgeworth expansion for finite population U-statistics of degree two
Bloznelis, M, One-term Edgeworth expansion for finite population U-statistics of degree two. ACTA APPLICANDAE MATHEMATICAE 58 (1-3). , 1999
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
Optimal bounds in non-Gaussian limit theorems for U-statistics
Bentkus, V, Optimal bounds in non-Gaussian limit theorems for U-statistics. ANNALS OF PROBABILITY 27 (1). , 1999
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
Exponential integrability and transportation cost related to logarithmic sobolev inequalities
Bobkov, SG, Exponential integrability and transportation cost related to logarithmic sobolev inequalities. JOURNAL OF FUNCTIONAL ANALYSIS 163 (1). , 1999
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
Asymptotic distribution of quadratic forms
Götze, Friedrich, Asymptotic distribution of quadratic forms. ANNALS OF PROBABILITY 27 (2). , 1999
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
Approximation of quadratic forms of independent random vectors by accompanying laws
Bentkus, V, Approximation of quadratic forms of independent random vectors by accompanying laws. THEORY OF PROBABILITY AND ITS APPLICATIONS 42 (2). , 1998
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
On smooth behavior of probability distributions under polynomial mappings
Götze, Friedrich, On smooth behavior of probability distributions under polynomial mappings. THEORY OF PROBABILITY AND ITS APPLICATIONS 42 (1). , 1998
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
On moments of polynomials
Bobkov, SG, On moments of polynomials. THEORY OF PROBABILITY AND ITS APPLICATIONS 42 (3). , 1998
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Estimates for the rapid decay of concentration functions of n-fold convolutions
Götze, Friedrich, Estimates for the rapid decay of concentration functions of n-fold convolutions. JOURNAL OF THEORETICAL PROBABILITY 11 (3). , 1998
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Lattice point problems and the central limit theorem in Euclidean spaces
Götze, Friedrich, Lattice point problems and the central limit theorem in Euclidean spaces. Documenta Mathematica 1998 (Extra Vol. III). , 1998
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"
Götze, Friedrich, Errata: "Lattice point problems and the central limit theorem in Euclidean spaces". Documenta Mathematica 1998 (Extra Vol. I). , 1998
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Berry-Esseen bounds for statistics of weakly dependent samples
Bentkus, V, Berry-Esseen bounds for statistics of weakly dependent samples. BERNOULLI 3 (3). , 1997
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
A Berry-Esseen bound for M-estimators
Bentkus, V, A Berry-Esseen bound for M-estimators. SCANDINAVIAN JOURNAL OF STATISTICS 24 (4). , 1997
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698
Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces
Bentkus, V, Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces. PROBABILITY THEORY AND RELATED FIELDS 109 (3). , 1997
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
On the lattice point problem for ellipsoids
Bentkus, V, On the lattice point problem for ellipsoids. ACTA ARITHMETICA 80 (2). , 1997
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
When is the student t-statistic asymptotically standard normal?
Gine, E, When is the student t-statistic asymptotically standard normal?. ANNALS OF PROBABILITY 25 (3). , 1997
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
Resampling fewer than n observations: Gains, losses, and remedies for losses
Bickel, PJ, Resampling fewer than n observations: Gains, losses, and remedies for losses. STATISTICA SINICA 7 (1). , 1997
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
An Edgeworth expansion for symmetric statistics
Bentkus, V, An Edgeworth expansion for symmetric statistics. ANNALS OF STATISTICS 25 (2). , 1997
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
On minimal moment assumptions in Berry-Esseen theorems for U-statistics
Bentkus, V, On minimal moment assumptions in Berry-Esseen theorems for U-statistics. THEORY OF PROBABILITY AND ITS APPLICATIONS 40 (3). , 1996
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
Bounds for characteristic functions of polynomials in asymptotically normal random variables
Götze, Friedrich, Bounds for characteristic functions of polynomials in asymptotically normal random variables. RUSSIAN MATHEMATICAL SURVEYS 51 (2). , 1996
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739
A Berry-Esseen bound for student's statistic in the non-iid case
Bentkus, V, A Berry-Esseen bound for student's statistic in the non-iid case. JOURNAL OF THEORETICAL PROBABILITY 9 (3). , 1996
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
Bounds for the accuracy of Poissonian approximations of stable laws
Bentkus, V, Bounds for the accuracy of Poissonian approximations of stable laws. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65 (1). , 1996
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
Second-order correctness of the blockwise bootstrap for stationary observations
Götze, Friedrich, Second-order correctness of the blockwise bootstrap for stationary observations. ANNALS OF STATISTICS 24 (5). , 1996
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
The Berry-Esseen bound for student's statistic
Bentkus, V, The Berry-Esseen bound for student's statistic. ANNALS OF PROBABILITY 24 (1). , 1996
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
Optimal rates of convergence in the CLT for quadratic forms
Bentkus, V, Optimal rates of convergence in the CLT for quadratic forms. ANNALS OF PROBABILITY 24 (1). , 1996
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION
Götze, Friedrich, M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION. SCANDINAVIAN JOURNAL OF STATISTICS 22 (2). , 1995
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS
Bentkus, V, ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS. DOKLADY AKADEMII NAUK 343 (4). , 1995
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES
Götze, Friedrich, ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES. ANNALS OF STATISTICS 22 (4). , 1994
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES
Bentkus, V, ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES. PROBABILITY THEORY AND RELATED FIELDS 96 (2). , 1993
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS
Bolthausen, E, THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS. ANNALS OF STATISTICS 21 (4). , 1993
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT
Götze, Friedrich, ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT. ANNALS OF PROBABILITY 19 (2). , 1991
PUB | DOI | WoS
 
[6]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279
LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD
Götze, Friedrich, LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD. ANNALS OF PROBABILITY 18 (2). , 1990
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS
Götze, Friedrich, EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS. ANNALS OF PROBABILITY 17 (4). , 1989
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS
Götze, Friedrich, ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS. PROBABILITY THEORY AND RELATED FIELDS 82 (3). , 1989
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS
Götze, Friedrich, APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS. JOURNAL OF MULTIVARIATE ANALYSIS 22 (2). , 1987
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES
Götze, Friedrich, ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES. ANNALS OF PROBABILITY 14 (3). , 1986
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2
Bickel, PJ, THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2. ANNALS OF STATISTICS 14 (4). , 1986
PUB | DOI | WoS
 

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