125 Publikationen

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[125]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723
Large ball probabilities, Gaussian comparison and anti-concentration
Götze F, Naumov A, Spokoiny V, Ulyanov V (2019)
Bernoulli 25(4A): 2538-2563.
PUB | DOI | WoS
 
[124]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741
Higher order concentration for functions of weakly dependent random variables
Götze F, Sambale H, Sinulis A (2019)
Electronic Journal of Probability 24: 85.
PUB | DOI | WoS
 
[123]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338
Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I
Bobkov SG, Chistyakov G, Götze F (2019)
IEEE Transactions on Information Theory 65(9): 5283-5293.
PUB | DOI | WoS
 
[122]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936961
Journal of Applied Probability
Götze F, Gusakova A, Zaporozhets D (2019)
Journal of Applied Probability 56(1): 39-51.
PUB | DOI | WoS
 
[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
On Optimal Bounds in the Local Semicircle Law under Four Moment Condition
Götze F, Naumov AA, Tikhomirov AN (2019)
DOKLADY MATHEMATICS 99(1): 40-43.
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Higher order concentration of measure
Bobkov SC, Götze F, Sambale H (2019)
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21(3): 1850043.
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM
Bobkov SG, Chistyakov G, Götze F (2019)
ANNALS OF PROBABILITY 47(1): 270-323.
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
On the local semicircular law for Wigner ensembles
Götze F, Naumov A, Tikhomirov A, Timushev D (2018)
BERNOULLI 24(3): 2358-2400.
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION
Götze F, Naumov AA, Tikhomirov AN (2018)
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(1): 58-83.
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM
Götze F, Eliseeva YS, Zaitsev AY (2018)
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(2): 196-215.
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES
Prokhorov YV, Götze F, Ulyanov VV (2018)
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(1): 98-116.
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
New applications of Arak's inequalities to the Littlewood-Offord problem
Götze F, Zaitsev AY (2018)
EUROPEAN JOURNAL OF MATHEMATICS 4(2): 639-663.
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Berry-Esseen bounds for typical weighted sums
Bobkov SG, Chistyakov G, Götze F (2018)
ELECTRONIC JOURNAL OF PROBABILITY 23: 92.
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Distribution of linear statistics of singular values of the product of random matrices
Götze F, Naumov A, Tikhomirov A (2017)
Bernoulli 23(4B): 3067-3113.
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
On algebraic integers in short intervals and near smooth curves
Götze F, Gusakova A (2017)
ACTA ARITHMETICA 179(3): 251-265.
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Exact upper bounds for the number of the polynomials with given discriminants
Bernik V, Budarina N, Götze F (2017)
LITHUANIAN MATHEMATICAL JOURNAL 57(3): 283-293.
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Asymptotic Analysis of Symmetric Functions
Götze F, Naumov A, Ulyanov V (2017)
JOURNAL OF THEORETICAL PROBABILITY 30(3): 876-897.
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Second-order concentration on the sphere
Bobkov SG, Chistyakov GP, Götze F (2017)
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 19(5): 1650058.
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS
Götze F, Kaliada D, Zaporozhets D (2017)
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145(1): 61-71.
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Local Laws for Non-Hermitian Random Matrices
Götze F, Naumov AA, Tikhomirov AN (2017)
DOKLADY MATHEMATICS 96(3): 558-560.
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Integral polynomials with small discriminants and resultants
Beresnevich V, Bernik V, Götze F (2016)
ADVANCES IN MATHEMATICS 298: 393-412.
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Optimal bounds for convergence of expected spectral distributions to the semi-circular law
Götze F, Tikhomirov A (2016)
PROBABILITY THEORY AND RELATED FIELDS 165(1-2): 163-233.
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Regularized distributions and entropic stability of Cramer's characterization of the normal law
Bobkov SG, Chistyakov GP, Götze F (2016)
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126(12): 3865-3887.
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Arak's inequalities for concentration functions and the Littlewood-Offord problem
Götze F, Eliseeva YS, Zaitsev AY (2016)
DOKLADY MATHEMATICS 93(2): 202-206.
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES
Götze F, Naumov A, Tikhomirov A (2015)
Acta Physica Polonica B 46(9): 1737-1745.
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES
Götze F, Naumov AA, Tikhomirov AN (2015)
THEORY OF PROBABILITY AND ITS APPLICATIONS 59(1): 23-39.
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
On minimal singular values of random matrices with correlated entries
Götze F, Naumov A, Tikhomirov A (2015)
RANDOM MATRICES-THEORY AND APPLICATIONS 4(2): 30.
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Asymptotic spectra of matrix-valued functions of independent random matrices and free probability
Götze F, Kösters H, Tikhomirov A (2015)
RANDOM MATRICES-THEORY AND APPLICATIONS 4(2): 85.
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Distribution of real algebraic numbers of arbitrary degree in short intervals
Bernik VI, Götze F (2015)
Izvestiya Mathematics 79(1): 18-39.
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Radial spacing distributions from planar point sets
Baake M, Götze F, Huck C, Jakobi T (2014)
Acta crystallographica. Section A, Foundations and advances 70(Pt 5): 472-482.
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS
Götze F, Zaitsev AY (2014)
The Annals of Probability 42(1): 354-397.
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Distance between conjugate algebraic numbers in clusters
Budarina NV, Götze F (2014)
Mathematical Notes 94(5-6): 816-819.
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES
Götze F, Venker M (2014)
The Annals of Probability 42(6): 2207-2242.
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Fisher information and convergence to stable laws
Bobkov SG, Chistyakov GP, Götze F (2014)
Bernoulli 20(3): 1620-1646.
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
On algebraic points in the plane near smooth curves
Bernik V, Götze F, Kukso O (2014)
Lithuanian Mathematical Journal 54(3): 231-251.
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Berry-Esseen bounds in the entropic central limit theorem
Bobkov SG, Chistyakov G, Götze F (2014)
Probability Theory and Related Fields 159(3-4): 435-478.
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Fisher information and the central limit theorem
Bobkov SG, Chistyakov GP, Götze F (2014)
Probability Theory and Related Fields 159(1-2): 1-59.
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Preferred Attachment in Affiliation Networks
Bloznelis M, Götze F (2014)
Journal of Statistical Physics 156(4): 800-821.
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
The asymptotic number of integral cubic polynomials with bounded heights and discriminants
Kaliada D, Götze F, Kukso O (2014)
Lithuanian Mathematical Journal 54(2): 150-165.
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
THE TIMES OF YURI VASILYEVICH PROKHOROV
Götze F, Van Zwet WR (2013)
Theory Of Probability & Its Applications 57(2): 306-322.
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Convergence to Stable Laws in Relative Entropy
Bobkov SG, Chistyakov G, Götze F (2013)
Journal Of Theoretical Probability 26(3): 803-818.
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Asymptotic expansions in the CLT in free probability
Chistyakov G, Götze F (2013)
Probability Theory And Related Fields 157(1-2): 107-156.
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS
Bobkov SG, Chistyakov G, Götze F (2013)
Theory Of Probability & Its Applications 57(4): 568-588.
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM
Bobkov SG, Chistyakov GP, Götze F (2013)
The Annals Of Probability 41(4): 2479-2512.
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH
Bloznelis M, Götze F, Jaworski J (2012)
Journal of Applied Probability 49(3): 601-611.
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS
Götze F, Zaporozhets D (2012)
Theory Of Probability & Its Applications 56(4): 696-U217.
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bounds for characteristic functions in terms of quantiles and entropy
Bobkov SG, Chistyakov G, Götze F (2012)
ELECTRONIC COMMUNICATIONS IN PROBABILITY 17: 1-9.
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Freeness of linear and quadratic forms in von Neumann algebras
Chistyakov G, Götze F, Lehner F (2011)
Journal of Functional Analysis 261(10): 2829-2844.
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
The arithmetic of distributions in free probability theory
Chistyakov G, Götze F (2011)
Central European Journal of Mathematics 9(5): 997-1050.
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM
Bloznelis M, Götze F, Paulauskas V, Rackauskas A, van Zwet W (2010)
Lithuanian Mathematical Journal 50(4): 367-371.
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES
Alexeev N, Götze F, Tikhomirov A (2010)
LITHUANIAN MATHEMATICAL JOURNAL 50(2): 121-132.
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
On Concentration of Empirical Measures and Convergence to the Semi-circle Law
Bobkov SG, Götze F, Tikhomirov AN (2010)
JOURNAL OF THEORETICAL PROBABILITY 23(3): 792-823.
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES
Götze F, Tikhomirov A (2010)
THEORY OF PROBABILITY AND ITS APPLICATIONS 54(1): 129-U7.
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
On the Singular Spectrum of Powers and Products of Random Matrices
Alexeev NV, Götze F, Tikhomirov AN (2010)
DOKLADY MATHEMATICS 82(1): 505-507.
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
THE CIRCULAR LAW FOR RANDOM MATRICES
Götze F, Tikhomirov A (2010)
ANNALS OF PROBABILITY 38(4): 1444-1491.
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517 PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
The distribution of close conjugate algebraic numbers
Beresnevich V, Bernik V, Götze F (2010)
COMPOSITIO MATHEMATICA 146(5): 1165-1179.
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE
Götze F, Zaitsev AY (2009)
THEORY OF PROBABILITY AND ITS APPLICATIONS 53(1): 59-80.
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 F, Kösters H (2009)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 285(3): 1183-1205.
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Lower bounds for the number of integral polynomials with given order of discriminants
Bernik V, Götze F, Kukso O (2008)
ACTA ARITHMETICA 133(4): 375-390.
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, Götze F, Kukso O (2008)
LITHUANIAN MATHEMATICAL JOURNAL 48(4): 380-396.
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Limit theorems in free probability theory I
Chistyakov G, Götze F (2008)
ANNALS OF PROBABILITY 36(1): 54-90.
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Limit theorems in free probability theory II
Chistyakov G, Götze F (2008)
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6(1): 87-117.
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Limit correlation functions for fixed trace random matrix ensembles
Götze F, Gordin M (2008)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 281(1): 203-229.
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Independence of linear forms with random coefficients
Chistyakov G, Götze F (2007)
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 1-24.
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 F, Tikhomirov A, Timushev DA (2007)
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5(2): 305-334.
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Concentration inequalities and limit theorems for randomized sums
Bobkov SG, Götze F (2007)
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 49-81.
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 SA, Götze F, Ulyanov VV (2006)
JOURNAL OF MULTIVARIATE ANALYSIS 97(9): 2041-2056.
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Limit theorems for spectra of random matrices with martingale structure
Götze F, Tikhomirov AN (2006)
THEORY OF PROBABILITY AND ITS APPLICATIONS 51(1): 42-64.
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Asymptotic expansions in non-central limit theorems for quadratic forms
Götze F, Tikhomirov AN (2005)
JOURNAL OF THEORETICAL PROBABILITY 18(4): 757-811.
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, Götze F (2004)
ELECTRONIC COMMUNICATIONS IN PROBABILITY 9: 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Rate of convergence in probability to the Marchenko-Pastur law
Götze F, Tikhomirov A (2004)
BERNOULLI 10(3): 503-548.
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
Limiting distributions of theta series on Siegel half-spaces
Götze F, Gordin M (2004)
St. Petersburg mathematical journal 15(1): 81-102.
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
Distribution of the shape of Markovian random words
Chistyakov G, Götze F (2004)
PROBABILITY THEORY AND RELATED FIELDS 129(1): 18-36.
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Limit distributions of studentized means
Chistyakov G, Götze F (2004)
ANNALS OF PROBABILITY 32(1A): 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Lattice point problems and values of quadratic forms
Götze F (2004)
INVENTIONES MATHEMATICAE 157(1): 195-226.
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
On bounds for moderate deviations for student's statistic
Chistyakov G, Götze F (2003)
THEORY OF PROBABILITY AND ITS APPLICATIONS 48(3): 528-535.
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Rate of convergence to the semi-circular law
Götze F, Tikhomirov A (2003)
PROBABILITY THEORY AND RELATED FIELDS 127(2): 228-276.
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
On the central limit theorem along subsequences of noncorrelated observations
Bobkov SG, Götze F (2003)
THEORY OF PROBABILITY AND ITS APPLICATIONS 48(4): 604-621.
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Asymptotic distribution of quadratic forms and applications
Götze F, Tikhomirov A (2002)
JOURNAL OF THEORETICAL PROBABILITY 15(2): 423-475.
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
An Edgeworth expansion for symmetric finite population statistics
Bloznelis M, Götze F (2002)
ANNALS OF PROBABILITY 30(3): 1238-1265.
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
Moderate deviations for student's statistic
Chistyakov G, Götze F (2002)
THEORY OF PROBABILITY AND ITS APPLICATIONS 47(3): 415-428.
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Rate of convergence to the semicircular law for the Gaussian unitary ensemble
Götze F, Tikhomirov AN (2002)
THEORY OF PROBABILITY AND ITS APPLICATIONS 47(2): 323-330.
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
Lattice points in multidimensional bodies
Bentkus V, Götze F (2001)
FORUM MATHEMATICUM 13(2): 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
On Gaussian and Bernoulli covariance representations
Bobkov SG, Götze F, Houdre C (2001)
BERNOULLI 7(3): 439-451.
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952 PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
An edgeworth expansion for finite-population U-statistics
Bloznelis M, Götze F (2000)
BERNOULLI 6(4): 729-760.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
Discrete isoperimetric and Poincare-type inequalities
Bobkov SG, Götze F (1999)
PROBABILITY THEORY AND RELATED FIELDS 114(2): 245-277.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
Lattice point problems and distribution of values of quadratic forms
Bentkus V, Götze F (1999)
ANNALS OF MATHEMATICS 150(3): 977-1027.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
One-term Edgeworth expansion for finite population U-statistics of degree two
Bloznelis M, Götze F (1999)
ACTA APPLICANDAE MATHEMATICAE 58(1-3): 75-90.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
Optimal bounds in non-Gaussian limit theorems for U-statistics
Bentkus V, Götze F (1999)
ANNALS OF PROBABILITY 27(1): 454-521.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
Exponential integrability and transportation cost related to logarithmic sobolev inequalities
Bobkov SG, Götze F (1999)
JOURNAL OF FUNCTIONAL ANALYSIS 163(1): 1-28.
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
Asymptotic distribution of quadratic forms
Götze F, Tikhomirov AN (1999)
ANNALS OF PROBABILITY 27(2): 1072-1098.
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
Approximation of quadratic forms of independent random vectors by accompanying laws
Bentkus V, Götze F, Zaitsev AY (1998)
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(2): 189-212.
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
On smooth behavior of probability distributions under polynomial mappings
Götze F, Prokhorov YV, Ulyanov VV (1998)
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(1): 28-38.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
On moments of polynomials
Bobkov SG, Götze F (1998)
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(3): 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Estimates for the rapid decay of concentration functions of n-fold convolutions
Götze F, Zaitsev AY (1998)
JOURNAL OF THEORETICAL PROBABILITY 11(3): 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Lattice point problems and the central limit theorem in Euclidean spaces
Götze F (1998)
Documenta Mathematica 1998(Extra Vol. III): 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"
Götze F (1998)
Documenta Mathematica 1998(Extra Vol. I): 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Berry-Esseen bounds for statistics of weakly dependent samples
Bentkus V, Götze F, Tikhomirov A (1997)
BERNOULLI 3(3): 329-349.
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
A Berry-Esseen bound for M-estimators
Bentkus V, Bloznelis M, Götze F (1997)
SCANDINAVIAN JOURNAL OF STATISTICS 24(4): 485-502.
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, Götze F (1997)
PROBABILITY THEORY AND RELATED FIELDS 109(3): 367-416.
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
On the lattice point problem for ellipsoids
Bentkus V, Götze F (1997)
ACTA ARITHMETICA 80(2): 101-125.
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
When is the student t-statistic asymptotically standard normal?
Gine E, Götze F, Mason DM (1997)
ANNALS OF PROBABILITY 25(3): 1514-1531.
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
Resampling fewer than n observations: Gains, losses, and remedies for losses
Bickel PJ, Götze F, vanZwet WR (1997)
STATISTICA SINICA 7(1): 1-31.
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
An Edgeworth expansion for symmetric statistics
Bentkus V, Götze F, van Zwet WR (1997)
ANNALS OF STATISTICS 25(2): 851-896.
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
On minimal moment assumptions in Berry-Esseen theorems for U-statistics
Bentkus V, Götze F (1996)
THEORY OF PROBABILITY AND ITS APPLICATIONS 40(3): 430-445.
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
Bounds for characteristic functions of polynomials in asymptotically normal random variables
Götze F, Prokhorov YV, Ulyanov VV (1996)
RUSSIAN MATHEMATICAL SURVEYS 51(2): 181-204.
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, Bloznelis M, Götze F (1996)
JOURNAL OF THEORETICAL PROBABILITY 9(3): 765-796.
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
Bounds for the accuracy of Poissonian approximations of stable laws
Bentkus V, Götze F, Paulauskas V (1996)
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65(1): 55-68.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
Second-order correctness of the blockwise bootstrap for stationary observations
Götze F, Kunsch HR (1996)
ANNALS OF STATISTICS 24(5): 1914-1933.
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
The Berry-Esseen bound for student's statistic
Bentkus V, Götze F (1996)
ANNALS OF PROBABILITY 24(1): 491-503.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
Optimal rates of convergence in the CLT for quadratic forms
Bentkus V, Götze F (1996)
ANNALS OF PROBABILITY 24(1): 466-490.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION
Götze F, Heinrich L, Hipp C (1995)
SCANDINAVIAN JOURNAL OF STATISTICS 22(2): 183-195.
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS
Bentkus V, Götze F (1995)
DOKLADY AKADEMII NAUK 343(4): 439-440.
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES
Götze F, Hipp C (1994)
ANNALS OF STATISTICS 22(4): 2062-2088.
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES
Bentkus V, Götze F (1993)
PROBABILITY THEORY AND RELATED FIELDS 96(2): 137-151.
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS
Bolthausen E, Götze F (1993)
ANNALS OF STATISTICS 21(4): 1692-1710.
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT
Götze F (1991)
ANNALS OF PROBABILITY 19(2): 724-739.
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 F, Hipp C (1990)
ANNALS OF PROBABILITY 18(2): 810-828.
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS
Götze F, HIPP C (1989)
PROBABILITY THEORY AND RELATED FIELDS 82(3): 349-370.
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS
Götze F (1989)
ANNALS OF PROBABILITY 17(4): 1602-1634.
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS
Götze F (1987)
JOURNAL OF MULTIVARIATE ANALYSIS 22(2): 212-229.
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES
Götze F (1986)
ANNALS OF PROBABILITY 14(3): 922-942.
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2
Bickel PJ, Götze F, Vanzwet WR (1986)
ANNALS OF STATISTICS 14(4): 1463-1484.
PUB | DOI | WoS
 

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[125]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723
Large ball probabilities, Gaussian comparison and anti-concentration
Götze F, Naumov A, Spokoiny V, Ulyanov V (2019)
Bernoulli 25(4A): 2538-2563.
PUB | DOI | WoS
 
[124]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741
Higher order concentration for functions of weakly dependent random variables
Götze F, Sambale H, Sinulis A (2019)
Electronic Journal of Probability 24: 85.
PUB | DOI | WoS
 
[123]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338
Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I
Bobkov SG, Chistyakov G, Götze F (2019)
IEEE Transactions on Information Theory 65(9): 5283-5293.
PUB | DOI | WoS
 
[122]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936961
Journal of Applied Probability
Götze F, Gusakova A, Zaporozhets D (2019)
Journal of Applied Probability 56(1): 39-51.
PUB | DOI | WoS
 
[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
On Optimal Bounds in the Local Semicircle Law under Four Moment Condition
Götze F, Naumov AA, Tikhomirov AN (2019)
DOKLADY MATHEMATICS 99(1): 40-43.
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Higher order concentration of measure
Bobkov SC, Götze F, Sambale H (2019)
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21(3): 1850043.
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM
Bobkov SG, Chistyakov G, Götze F (2019)
ANNALS OF PROBABILITY 47(1): 270-323.
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
On the local semicircular law for Wigner ensembles
Götze F, Naumov A, Tikhomirov A, Timushev D (2018)
BERNOULLI 24(3): 2358-2400.
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION
Götze F, Naumov AA, Tikhomirov AN (2018)
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(1): 58-83.
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM
Götze F, Eliseeva YS, Zaitsev AY (2018)
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(2): 196-215.
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES
Prokhorov YV, Götze F, Ulyanov VV (2018)
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(1): 98-116.
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
New applications of Arak's inequalities to the Littlewood-Offord problem
Götze F, Zaitsev AY (2018)
EUROPEAN JOURNAL OF MATHEMATICS 4(2): 639-663.
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Berry-Esseen bounds for typical weighted sums
Bobkov SG, Chistyakov G, Götze F (2018)
ELECTRONIC JOURNAL OF PROBABILITY 23: 92.
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Distribution of linear statistics of singular values of the product of random matrices
Götze F, Naumov A, Tikhomirov A (2017)
Bernoulli 23(4B): 3067-3113.
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
On algebraic integers in short intervals and near smooth curves
Götze F, Gusakova A (2017)
ACTA ARITHMETICA 179(3): 251-265.
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Exact upper bounds for the number of the polynomials with given discriminants
Bernik V, Budarina N, Götze F (2017)
LITHUANIAN MATHEMATICAL JOURNAL 57(3): 283-293.
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Asymptotic Analysis of Symmetric Functions
Götze F, Naumov A, Ulyanov V (2017)
JOURNAL OF THEORETICAL PROBABILITY 30(3): 876-897.
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Second-order concentration on the sphere
Bobkov SG, Chistyakov GP, Götze F (2017)
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 19(5): 1650058.
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS
Götze F, Kaliada D, Zaporozhets D (2017)
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145(1): 61-71.
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Local Laws for Non-Hermitian Random Matrices
Götze F, Naumov AA, Tikhomirov AN (2017)
DOKLADY MATHEMATICS 96(3): 558-560.
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Integral polynomials with small discriminants and resultants
Beresnevich V, Bernik V, Götze F (2016)
ADVANCES IN MATHEMATICS 298: 393-412.
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Optimal bounds for convergence of expected spectral distributions to the semi-circular law
Götze F, Tikhomirov A (2016)
PROBABILITY THEORY AND RELATED FIELDS 165(1-2): 163-233.
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Regularized distributions and entropic stability of Cramer's characterization of the normal law
Bobkov SG, Chistyakov GP, Götze F (2016)
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126(12): 3865-3887.
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Arak's inequalities for concentration functions and the Littlewood-Offord problem
Götze F, Eliseeva YS, Zaitsev AY (2016)
DOKLADY MATHEMATICS 93(2): 202-206.
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES
Götze F, Naumov A, Tikhomirov A (2015)
Acta Physica Polonica B 46(9): 1737-1745.
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES
Götze F, Naumov AA, Tikhomirov AN (2015)
THEORY OF PROBABILITY AND ITS APPLICATIONS 59(1): 23-39.
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
On minimal singular values of random matrices with correlated entries
Götze F, Naumov A, Tikhomirov A (2015)
RANDOM MATRICES-THEORY AND APPLICATIONS 4(2): 30.
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Asymptotic spectra of matrix-valued functions of independent random matrices and free probability
Götze F, Kösters H, Tikhomirov A (2015)
RANDOM MATRICES-THEORY AND APPLICATIONS 4(2): 85.
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Distribution of real algebraic numbers of arbitrary degree in short intervals
Bernik VI, Götze F (2015)
Izvestiya Mathematics 79(1): 18-39.
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Radial spacing distributions from planar point sets
Baake M, Götze F, Huck C, Jakobi T (2014)
Acta crystallographica. Section A, Foundations and advances 70(Pt 5): 472-482.
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS
Götze F, Zaitsev AY (2014)
The Annals of Probability 42(1): 354-397.
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Distance between conjugate algebraic numbers in clusters
Budarina NV, Götze F (2014)
Mathematical Notes 94(5-6): 816-819.
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES
Götze F, Venker M (2014)
The Annals of Probability 42(6): 2207-2242.
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Fisher information and convergence to stable laws
Bobkov SG, Chistyakov GP, Götze F (2014)
Bernoulli 20(3): 1620-1646.
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
On algebraic points in the plane near smooth curves
Bernik V, Götze F, Kukso O (2014)
Lithuanian Mathematical Journal 54(3): 231-251.
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Berry-Esseen bounds in the entropic central limit theorem
Bobkov SG, Chistyakov G, Götze F (2014)
Probability Theory and Related Fields 159(3-4): 435-478.
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Fisher information and the central limit theorem
Bobkov SG, Chistyakov GP, Götze F (2014)
Probability Theory and Related Fields 159(1-2): 1-59.
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Preferred Attachment in Affiliation Networks
Bloznelis M, Götze F (2014)
Journal of Statistical Physics 156(4): 800-821.
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
The asymptotic number of integral cubic polynomials with bounded heights and discriminants
Kaliada D, Götze F, Kukso O (2014)
Lithuanian Mathematical Journal 54(2): 150-165.
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
THE TIMES OF YURI VASILYEVICH PROKHOROV
Götze F, Van Zwet WR (2013)
Theory Of Probability & Its Applications 57(2): 306-322.
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Convergence to Stable Laws in Relative Entropy
Bobkov SG, Chistyakov G, Götze F (2013)
Journal Of Theoretical Probability 26(3): 803-818.
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Asymptotic expansions in the CLT in free probability
Chistyakov G, Götze F (2013)
Probability Theory And Related Fields 157(1-2): 107-156.
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS
Bobkov SG, Chistyakov G, Götze F (2013)
Theory Of Probability & Its Applications 57(4): 568-588.
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM
Bobkov SG, Chistyakov GP, Götze F (2013)
The Annals Of Probability 41(4): 2479-2512.
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH
Bloznelis M, Götze F, Jaworski J (2012)
Journal of Applied Probability 49(3): 601-611.
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS
Götze F, Zaporozhets D (2012)
Theory Of Probability & Its Applications 56(4): 696-U217.
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bounds for characteristic functions in terms of quantiles and entropy
Bobkov SG, Chistyakov G, Götze F (2012)
ELECTRONIC COMMUNICATIONS IN PROBABILITY 17: 1-9.
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Freeness of linear and quadratic forms in von Neumann algebras
Chistyakov G, Götze F, Lehner F (2011)
Journal of Functional Analysis 261(10): 2829-2844.
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
The arithmetic of distributions in free probability theory
Chistyakov G, Götze F (2011)
Central European Journal of Mathematics 9(5): 997-1050.
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM
Bloznelis M, Götze F, Paulauskas V, Rackauskas A, van Zwet W (2010)
Lithuanian Mathematical Journal 50(4): 367-371.
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES
Alexeev N, Götze F, Tikhomirov A (2010)
LITHUANIAN MATHEMATICAL JOURNAL 50(2): 121-132.
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
On Concentration of Empirical Measures and Convergence to the Semi-circle Law
Bobkov SG, Götze F, Tikhomirov AN (2010)
JOURNAL OF THEORETICAL PROBABILITY 23(3): 792-823.
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES
Götze F, Tikhomirov A (2010)
THEORY OF PROBABILITY AND ITS APPLICATIONS 54(1): 129-U7.
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
On the Singular Spectrum of Powers and Products of Random Matrices
Alexeev NV, Götze F, Tikhomirov AN (2010)
DOKLADY MATHEMATICS 82(1): 505-507.
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
THE CIRCULAR LAW FOR RANDOM MATRICES
Götze F, Tikhomirov A (2010)
ANNALS OF PROBABILITY 38(4): 1444-1491.
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517 PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
The distribution of close conjugate algebraic numbers
Beresnevich V, Bernik V, Götze F (2010)
COMPOSITIO MATHEMATICA 146(5): 1165-1179.
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE
Götze F, Zaitsev AY (2009)
THEORY OF PROBABILITY AND ITS APPLICATIONS 53(1): 59-80.
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 F, Kösters H (2009)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 285(3): 1183-1205.
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Lower bounds for the number of integral polynomials with given order of discriminants
Bernik V, Götze F, Kukso O (2008)
ACTA ARITHMETICA 133(4): 375-390.
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, Götze F, Kukso O (2008)
LITHUANIAN MATHEMATICAL JOURNAL 48(4): 380-396.
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Limit theorems in free probability theory I
Chistyakov G, Götze F (2008)
ANNALS OF PROBABILITY 36(1): 54-90.
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Limit theorems in free probability theory II
Chistyakov G, Götze F (2008)
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6(1): 87-117.
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Limit correlation functions for fixed trace random matrix ensembles
Götze F, Gordin M (2008)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 281(1): 203-229.
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Independence of linear forms with random coefficients
Chistyakov G, Götze F (2007)
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 1-24.
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 F, Tikhomirov A, Timushev DA (2007)
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5(2): 305-334.
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Concentration inequalities and limit theorems for randomized sums
Bobkov SG, Götze F (2007)
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 49-81.
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 SA, Götze F, Ulyanov VV (2006)
JOURNAL OF MULTIVARIATE ANALYSIS 97(9): 2041-2056.
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Limit theorems for spectra of random matrices with martingale structure
Götze F, Tikhomirov AN (2006)
THEORY OF PROBABILITY AND ITS APPLICATIONS 51(1): 42-64.
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Asymptotic expansions in non-central limit theorems for quadratic forms
Götze F, Tikhomirov AN (2005)
JOURNAL OF THEORETICAL PROBABILITY 18(4): 757-811.
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, Götze F (2004)
ELECTRONIC COMMUNICATIONS IN PROBABILITY 9: 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Rate of convergence in probability to the Marchenko-Pastur law
Götze F, Tikhomirov A (2004)
BERNOULLI 10(3): 503-548.
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
Limiting distributions of theta series on Siegel half-spaces
Götze F, Gordin M (2004)
St. Petersburg mathematical journal 15(1): 81-102.
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
Distribution of the shape of Markovian random words
Chistyakov G, Götze F (2004)
PROBABILITY THEORY AND RELATED FIELDS 129(1): 18-36.
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Limit distributions of studentized means
Chistyakov G, Götze F (2004)
ANNALS OF PROBABILITY 32(1A): 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Lattice point problems and values of quadratic forms
Götze F (2004)
INVENTIONES MATHEMATICAE 157(1): 195-226.
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
On bounds for moderate deviations for student's statistic
Chistyakov G, Götze F (2003)
THEORY OF PROBABILITY AND ITS APPLICATIONS 48(3): 528-535.
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Rate of convergence to the semi-circular law
Götze F, Tikhomirov A (2003)
PROBABILITY THEORY AND RELATED FIELDS 127(2): 228-276.
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
On the central limit theorem along subsequences of noncorrelated observations
Bobkov SG, Götze F (2003)
THEORY OF PROBABILITY AND ITS APPLICATIONS 48(4): 604-621.
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Asymptotic distribution of quadratic forms and applications
Götze F, Tikhomirov A (2002)
JOURNAL OF THEORETICAL PROBABILITY 15(2): 423-475.
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
An Edgeworth expansion for symmetric finite population statistics
Bloznelis M, Götze F (2002)
ANNALS OF PROBABILITY 30(3): 1238-1265.
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
Moderate deviations for student's statistic
Chistyakov G, Götze F (2002)
THEORY OF PROBABILITY AND ITS APPLICATIONS 47(3): 415-428.
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Rate of convergence to the semicircular law for the Gaussian unitary ensemble
Götze F, Tikhomirov AN (2002)
THEORY OF PROBABILITY AND ITS APPLICATIONS 47(2): 323-330.
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
Lattice points in multidimensional bodies
Bentkus V, Götze F (2001)
FORUM MATHEMATICUM 13(2): 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
On Gaussian and Bernoulli covariance representations
Bobkov SG, Götze F, Houdre C (2001)
BERNOULLI 7(3): 439-451.
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952 PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
An edgeworth expansion for finite-population U-statistics
Bloznelis M, Götze F (2000)
BERNOULLI 6(4): 729-760.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
Discrete isoperimetric and Poincare-type inequalities
Bobkov SG, Götze F (1999)
PROBABILITY THEORY AND RELATED FIELDS 114(2): 245-277.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
Lattice point problems and distribution of values of quadratic forms
Bentkus V, Götze F (1999)
ANNALS OF MATHEMATICS 150(3): 977-1027.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
One-term Edgeworth expansion for finite population U-statistics of degree two
Bloznelis M, Götze F (1999)
ACTA APPLICANDAE MATHEMATICAE 58(1-3): 75-90.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
Optimal bounds in non-Gaussian limit theorems for U-statistics
Bentkus V, Götze F (1999)
ANNALS OF PROBABILITY 27(1): 454-521.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
Exponential integrability and transportation cost related to logarithmic sobolev inequalities
Bobkov SG, Götze F (1999)
JOURNAL OF FUNCTIONAL ANALYSIS 163(1): 1-28.
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
Asymptotic distribution of quadratic forms
Götze F, Tikhomirov AN (1999)
ANNALS OF PROBABILITY 27(2): 1072-1098.
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
Approximation of quadratic forms of independent random vectors by accompanying laws
Bentkus V, Götze F, Zaitsev AY (1998)
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(2): 189-212.
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
On smooth behavior of probability distributions under polynomial mappings
Götze F, Prokhorov YV, Ulyanov VV (1998)
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(1): 28-38.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
On moments of polynomials
Bobkov SG, Götze F (1998)
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(3): 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Estimates for the rapid decay of concentration functions of n-fold convolutions
Götze F, Zaitsev AY (1998)
JOURNAL OF THEORETICAL PROBABILITY 11(3): 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Lattice point problems and the central limit theorem in Euclidean spaces
Götze F (1998)
Documenta Mathematica 1998(Extra Vol. III): 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"
Götze F (1998)
Documenta Mathematica 1998(Extra Vol. I): 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Berry-Esseen bounds for statistics of weakly dependent samples
Bentkus V, Götze F, Tikhomirov A (1997)
BERNOULLI 3(3): 329-349.
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
A Berry-Esseen bound for M-estimators
Bentkus V, Bloznelis M, Götze F (1997)
SCANDINAVIAN JOURNAL OF STATISTICS 24(4): 485-502.
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, Götze F (1997)
PROBABILITY THEORY AND RELATED FIELDS 109(3): 367-416.
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
On the lattice point problem for ellipsoids
Bentkus V, Götze F (1997)
ACTA ARITHMETICA 80(2): 101-125.
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
When is the student t-statistic asymptotically standard normal?
Gine E, Götze F, Mason DM (1997)
ANNALS OF PROBABILITY 25(3): 1514-1531.
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
Resampling fewer than n observations: Gains, losses, and remedies for losses
Bickel PJ, Götze F, vanZwet WR (1997)
STATISTICA SINICA 7(1): 1-31.
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
An Edgeworth expansion for symmetric statistics
Bentkus V, Götze F, van Zwet WR (1997)
ANNALS OF STATISTICS 25(2): 851-896.
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
On minimal moment assumptions in Berry-Esseen theorems for U-statistics
Bentkus V, Götze F (1996)
THEORY OF PROBABILITY AND ITS APPLICATIONS 40(3): 430-445.
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
Bounds for characteristic functions of polynomials in asymptotically normal random variables
Götze F, Prokhorov YV, Ulyanov VV (1996)
RUSSIAN MATHEMATICAL SURVEYS 51(2): 181-204.
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, Bloznelis M, Götze F (1996)
JOURNAL OF THEORETICAL PROBABILITY 9(3): 765-796.
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
Bounds for the accuracy of Poissonian approximations of stable laws
Bentkus V, Götze F, Paulauskas V (1996)
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65(1): 55-68.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
Second-order correctness of the blockwise bootstrap for stationary observations
Götze F, Kunsch HR (1996)
ANNALS OF STATISTICS 24(5): 1914-1933.
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
The Berry-Esseen bound for student's statistic
Bentkus V, Götze F (1996)
ANNALS OF PROBABILITY 24(1): 491-503.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
Optimal rates of convergence in the CLT for quadratic forms
Bentkus V, Götze F (1996)
ANNALS OF PROBABILITY 24(1): 466-490.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION
Götze F, Heinrich L, Hipp C (1995)
SCANDINAVIAN JOURNAL OF STATISTICS 22(2): 183-195.
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS
Bentkus V, Götze F (1995)
DOKLADY AKADEMII NAUK 343(4): 439-440.
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES
Götze F, Hipp C (1994)
ANNALS OF STATISTICS 22(4): 2062-2088.
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES
Bentkus V, Götze F (1993)
PROBABILITY THEORY AND RELATED FIELDS 96(2): 137-151.
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS
Bolthausen E, Götze F (1993)
ANNALS OF STATISTICS 21(4): 1692-1710.
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT
Götze F (1991)
ANNALS OF PROBABILITY 19(2): 724-739.
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 F, Hipp C (1990)
ANNALS OF PROBABILITY 18(2): 810-828.
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS
Götze F, HIPP C (1989)
PROBABILITY THEORY AND RELATED FIELDS 82(3): 349-370.
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS
Götze F (1989)
ANNALS OF PROBABILITY 17(4): 1602-1634.
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS
Götze F (1987)
JOURNAL OF MULTIVARIATE ANALYSIS 22(2): 212-229.
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES
Götze F (1986)
ANNALS OF PROBABILITY 14(3): 922-942.
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2
Bickel PJ, Götze F, Vanzwet WR (1986)
ANNALS OF STATISTICS 14(4): 1463-1484.
PUB | DOI | WoS
 

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