121 Publikationen

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[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
Götze F, Naumov AA, Tikhomirov AN (2019)
On Optimal Bounds in the Local Semicircle Law under Four Moment Condition.
DOKLADY MATHEMATICS 99(1): 40-43.
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Bobkov SC, Götze F, Sambale H (2019)
Higher order concentration of measure.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21(3): 1850043.
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
Bobkov SG, Chistyakov G, Götze F (2019)
RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM.
ANNALS OF PROBABILITY 47(1): 270-323.
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
Götze F, Naumov A, Tikhomirov A, Timushev D (2018)
On the local semicircular law for Wigner ensembles.
BERNOULLI 24(3): 2358-2400.
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
Götze F, Naumov AA, Tikhomirov AN (2018)
LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION.
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(1): 58-83.
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
Götze F, Eliseeva YS, Zaitsev AY (2018)
ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM.
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(2): 196-215.
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
Prokhorov YV, Götze F, Ulyanov VV (2018)
ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES.
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(1): 98-116.
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
Götze F, Zaitsev AY (2018)
New applications of Arak's inequalities to the Littlewood-Offord problem.
EUROPEAN JOURNAL OF MATHEMATICS 4(2): 639-663.
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Bobkov SG, Chistyakov G, Götze F (2018)
Berry-Esseen bounds for typical weighted sums.
ELECTRONIC JOURNAL OF PROBABILITY 23: 92.
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Götze F, Naumov A, Tikhomirov A (2017)
Distribution of linear statistics of singular values of the product of random matrices.
Bernoulli 23(4B): 3067-3113.
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
Götze F, Gusakova A (2017)
On algebraic integers in short intervals and near smooth curves.
ACTA ARITHMETICA 179(3): 251-265.
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Bernik V, Budarina N, Götze F (2017)
Exact upper bounds for the number of the polynomials with given discriminants.
LITHUANIAN MATHEMATICAL JOURNAL 57(3): 283-293.
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Götze F, Naumov A, Ulyanov V (2017)
Asymptotic Analysis of Symmetric Functions.
JOURNAL OF THEORETICAL PROBABILITY 30(3): 876-897.
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Bobkov SG, Chistyakov GP, Götze F (2017)
Second-order concentration on the sphere.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 19(5): 1650058.
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
Götze F, Kaliada D, Zaporozhets D (2017)
DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145(1): 61-71.
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Götze F, Naumov AA, Tikhomirov AN (2017)
Local Laws for Non-Hermitian Random Matrices.
DOKLADY MATHEMATICS 96(3): 558-560.
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Beresnevich V, Bernik V, Götze F (2016)
Integral polynomials with small discriminants and resultants.
ADVANCES IN MATHEMATICS 298: 393-412.
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Götze F, Tikhomirov A (2016)
Optimal bounds for convergence of expected spectral distributions to the semi-circular law.
PROBABILITY THEORY AND RELATED FIELDS 165(1-2): 163-233.
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Bobkov SG, Chistyakov GP, Götze F (2016)
Regularized distributions and entropic stability of Cramer's characterization of the normal law.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126(12): 3865-3887.
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Götze F, Eliseeva YS, Zaitsev AY (2016)
Arak's inequalities for concentration functions and the Littlewood-Offord problem.
DOKLADY MATHEMATICS 93(2): 202-206.
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
Götze F, Naumov A, Tikhomirov A (2015)
ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES.
Acta Physica Polonica B 46(9): 1737-1745.
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
Götze F, Naumov AA, Tikhomirov AN (2015)
LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES.
THEORY OF PROBABILITY AND ITS APPLICATIONS 59(1): 23-39.
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
Götze F, Naumov A, Tikhomirov A (2015)
On minimal singular values of random matrices with correlated entries.
RANDOM MATRICES-THEORY AND APPLICATIONS 4(2): 30.
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Götze F, Kösters H, Tikhomirov A (2015)
Asymptotic spectra of matrix-valued functions of independent random matrices and free probability.
RANDOM MATRICES-THEORY AND APPLICATIONS 4(2): 85.
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Bernik VI, Götze F (2015)
Distribution of real algebraic numbers of arbitrary degree in short intervals.
Izvestiya Mathematics 79(1): 18-39.
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Baake M, Götze F, Huck C, Jakobi T (2014)
Radial spacing distributions from planar point sets.
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
Götze F, Zaitsev AY (2014)
EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS.
The Annals of Probability 42(1): 354-397.
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Budarina NV, Götze F (2014)
Distance between conjugate algebraic numbers in clusters.
Mathematical Notes 94(5-6): 816-819.
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
Götze F, Venker M (2014)
LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES.
The Annals of Probability 42(6): 2207-2242.
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Bobkov SG, Chistyakov GP, Götze F (2014)
Fisher information and convergence to stable laws.
Bernoulli 20(3): 1620-1646.
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
Bernik V, Götze F, Kukso O (2014)
On algebraic points in the plane near smooth curves.
Lithuanian Mathematical Journal 54(3): 231-251.
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Bobkov SG, Chistyakov G, Götze F (2014)
Berry-Esseen bounds in the entropic central limit theorem.
Probability Theory and Related Fields 159(3-4): 435-478.
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Bobkov SG, Chistyakov GP, Götze F (2014)
Fisher information and the central limit theorem.
Probability Theory and Related Fields 159(1-2): 1-59.
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Bloznelis M, Götze F (2014)
Preferred Attachment in Affiliation Networks.
Journal of Statistical Physics 156(4): 800-821.
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
Kaliada D, Götze F, Kukso O (2014)
The asymptotic number of integral cubic polynomials with bounded heights and discriminants.
Lithuanian Mathematical Journal 54(2): 150-165.
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
Götze F, Van Zwet WR (2013)
THE TIMES OF YURI VASILYEVICH PROKHOROV.
Theory Of Probability & Its Applications 57(2): 306-322.
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Bobkov SG, Chistyakov G, Götze F (2013)
Convergence to Stable Laws in Relative Entropy.
Journal Of Theoretical Probability 26(3): 803-818.
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Chistyakov G, Götze F (2013)
Asymptotic expansions in the CLT in free probability.
Probability Theory And Related Fields 157(1-2): 107-156.
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
Bobkov SG, Chistyakov G, Götze F (2013)
STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS.
Theory Of Probability & Its Applications 57(4): 568-588.
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
Bobkov SG, Chistyakov GP, Götze F (2013)
RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM.
The Annals Of Probability 41(4): 2479-2512.
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
Bloznelis M, Götze F, Jaworski J (2012)
BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH.
Journal of Applied Probability 49(3): 601-611.
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
Götze F, Zaporozhets D (2012)
ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS.
Theory Of Probability & Its Applications 56(4): 696-U217.
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bobkov SG, Chistyakov G, Götze F (2012)
Bounds for characteristic functions in terms of quantiles and entropy.
ELECTRONIC COMMUNICATIONS IN PROBABILITY 17: 1-9.
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Chistyakov G, Götze F, Lehner F (2011)
Freeness of linear and quadratic forms in von Neumann algebras.
Journal of Functional Analysis 261(10): 2829-2844.
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
Chistyakov G, Götze F (2011)
The arithmetic of distributions in free probability theory.
Central European Journal of Mathematics 9(5): 997-1050.
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
Bloznelis M, Götze F, Paulauskas V, Rackauskas A, van Zwet W (2010)
VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM.
Lithuanian Mathematical Journal 50(4): 367-371.
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
Alexeev N, Götze F, Tikhomirov A (2010)
ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES.
LITHUANIAN MATHEMATICAL JOURNAL 50(2): 121-132.
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
Bobkov SG, Götze F, Tikhomirov AN (2010)
On Concentration of Empirical Measures and Convergence to the Semi-circle Law.
JOURNAL OF THEORETICAL PROBABILITY 23(3): 792-823.
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
Götze F, Tikhomirov A (2010)
THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES.
THEORY OF PROBABILITY AND ITS APPLICATIONS 54(1): 129-U7.
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
Alexeev NV, Götze F, Tikhomirov AN (2010)
On the Singular Spectrum of Powers and Products of Random Matrices.
DOKLADY MATHEMATICS 82(1): 505-507.
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
Götze F, Tikhomirov A (2010)
THE CIRCULAR LAW FOR RANDOM MATRICES.
ANNALS OF PROBABILITY 38(4): 1444-1491.
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
Bobkov SG, Götze F (2010)
Concentration of empirical distribution functions with applications to non-i.i.d. models.
Bernoulli 16(4): 1385-1414.
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
Beresnevich V, Bernik V, Götze F (2010)
The distribution of close conjugate algebraic numbers.
COMPOSITIO MATHEMATICA 146(5): 1165-1179.
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
Götze F, Zaitsev AY (2009)
BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE.
THEORY OF PROBABILITY AND ITS APPLICATIONS 53(1): 59-80.
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
Götze F, Kösters H (2009)
On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix.
COMMUNICATIONS IN MATHEMATICAL PHYSICS 285(3): 1183-1205.
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Bernik V, Götze F, Kukso O (2008)
Lower bounds for the number of integral polynomials with given order of discriminants.
ACTA ARITHMETICA 133(4): 375-390.
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
Bernik V, Götze F, Kukso O (2008)
On the divisibility of the discriminant of an integral polynomial by prime powers.
LITHUANIAN MATHEMATICAL JOURNAL 48(4): 380-396.
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Chistyakov G, Götze F (2008)
Limit theorems in free probability theory I.
ANNALS OF PROBABILITY 36(1): 54-90.
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Chistyakov G, Götze F (2008)
Limit theorems in free probability theory II.
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6(1): 87-117.
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Götze F, Gordin M (2008)
Limit correlation functions for fixed trace random matrix ensembles.
COMMUNICATIONS IN MATHEMATICAL PHYSICS 281(1): 203-229.
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Chistyakov G, Götze F (2007)
Independence of linear forms with random coefficients.
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 1-24.
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
Götze F, Tikhomirov A, Timushev DA (2007)
Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble.
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5(2): 305-334.
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Bobkov SG, Götze F (2007)
Concentration inequalities and limit theorems for randomized sums.
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 49-81.
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
Bogatyrev SA, Götze F, Ulyanov VV (2006)
Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space.
JOURNAL OF MULTIVARIATE ANALYSIS 97(9): 2041-2056.
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Götze F, Tikhomirov AN (2006)
Limit theorems for spectra of random matrices with martingale structure.
THEORY OF PROBABILITY AND ITS APPLICATIONS 51(1): 42-64.
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Götze F, Tikhomirov AN (2005)
Asymptotic expansions in non-central limit theorems for quadratic forms.
JOURNAL OF THEORETICAL PROBABILITY 18(4): 757-811.
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
Gine E, Götze F (2004)
On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors.
ELECTRONIC COMMUNICATIONS IN PROBABILITY 9: 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Götze F, Tikhomirov A (2004)
Rate of convergence in probability to the Marchenko-Pastur law.
BERNOULLI 10(3): 503-548.
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
Götze F, Gordin M (2004)
Limiting distributions of theta series on Siegel half-spaces.
St. Petersburg mathematical journal 15(1): 81-102.
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
Chistyakov G, Götze F (2004)
Distribution of the shape of Markovian random words.
PROBABILITY THEORY AND RELATED FIELDS 129(1): 18-36.
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Chistyakov G, Götze F (2004)
Limit distributions of studentized means.
ANNALS OF PROBABILITY 32(1A): 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Götze F (2004)
Lattice point problems and values of quadratic forms.
INVENTIONES MATHEMATICAE 157(1): 195-226.
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
Chistyakov G, Götze F (2003)
On bounds for moderate deviations for student's statistic.
THEORY OF PROBABILITY AND ITS APPLICATIONS 48(3): 528-535.
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Götze F, Tikhomirov A (2003)
Rate of convergence to the semi-circular law.
PROBABILITY THEORY AND RELATED FIELDS 127(2): 228-276.
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
Bobkov SG, Götze F (2003)
On the central limit theorem along subsequences of noncorrelated observations.
THEORY OF PROBABILITY AND ITS APPLICATIONS 48(4): 604-621.
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Götze F, Tikhomirov A (2002)
Asymptotic distribution of quadratic forms and applications.
JOURNAL OF THEORETICAL PROBABILITY 15(2): 423-475.
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
Bloznelis M, Götze F (2002)
An Edgeworth expansion for symmetric finite population statistics.
ANNALS OF PROBABILITY 30(3): 1238-1265.
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
Chistyakov G, Götze F (2002)
Moderate deviations for student's statistic.
THEORY OF PROBABILITY AND ITS APPLICATIONS 47(3): 415-428.
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Götze F, Tikhomirov AN (2002)
Rate of convergence to the semicircular law for the Gaussian unitary ensemble.
THEORY OF PROBABILITY AND ITS APPLICATIONS 47(2): 323-330.
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
Bentkus V, Götze F (2001)
Lattice points in multidimensional bodies.
FORUM MATHEMATICUM 13(2): 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
Bobkov SG, Götze F, Houdre C (2001)
On Gaussian and Bernoulli covariance representations.
BERNOULLI 7(3): 439-451.
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952
Bloznelis M, Götze F (2001)
Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics.
ANNALS OF STATISTICS 29(3): 899-917.
PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
Bloznelis M, Götze F (2000)
An edgeworth expansion for finite-population U-statistics.
BERNOULLI 6(4): 729-760.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
Bobkov SG, Götze F (1999)
Discrete isoperimetric and Poincare-type inequalities.
PROBABILITY THEORY AND RELATED FIELDS 114(2): 245-277.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
Bloznelis M, Götze F (1999)
One-term Edgeworth expansion for finite population U-statistics of degree two.
ACTA APPLICANDAE MATHEMATICAE 58(1-3): 75-90.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
Bentkus V, Götze F (1999)
Optimal bounds in non-Gaussian limit theorems for U-statistics.
ANNALS OF PROBABILITY 27(1): 454-521.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
Bobkov SG, Götze F (1999)
Exponential integrability and transportation cost related to logarithmic sobolev inequalities.
JOURNAL OF FUNCTIONAL ANALYSIS 163(1): 1-28.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
Bentkus V, Götze F (1999)
Lattice point problems and distribution of values of quadratic forms.
ANNALS OF MATHEMATICS 150(3): 977-1027.
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
Götze F, Tikhomirov AN (1999)
Asymptotic distribution of quadratic forms.
ANNALS OF PROBABILITY 27(2): 1072-1098.
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
Bentkus V, Götze F, Zaitsev AY (1998)
Approximation of quadratic forms of independent random vectors by accompanying laws.
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(2): 189-212.
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
Götze F, Prokhorov YV, Ulyanov VV (1998)
On smooth behavior of probability distributions under polynomial mappings.
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(1): 28-38.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
Bobkov SG, Götze F (1998)
On moments of polynomials.
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(3): 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Götze F, Zaitsev AY (1998)
Estimates for the rapid decay of concentration functions of n-fold convolutions.
JOURNAL OF THEORETICAL PROBABILITY 11(3): 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Götze F (1998)
Lattice point problems and the central limit theorem in Euclidean spaces.
Documenta Mathematica 1998(Extra Vol. III): 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Götze F (1998)
Errata: "Lattice point problems and the central limit theorem in Euclidean spaces".
Documenta Mathematica 1998(Extra Vol. I): 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Bentkus V, Götze F, Tikhomirov A (1997)
Berry-Esseen bounds for statistics of weakly dependent samples.
BERNOULLI 3(3): 329-349.
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
Bentkus V, Bloznelis M, Götze F (1997)
A Berry-Esseen bound for M-estimators.
SCANDINAVIAN JOURNAL OF STATISTICS 24(4): 485-502.
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698
Bentkus V, Götze F (1997)
Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces.
PROBABILITY THEORY AND RELATED FIELDS 109(3): 367-416.
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
Bentkus V, Götze F (1997)
On the lattice point problem for ellipsoids.
ACTA ARITHMETICA 80(2): 101-125.
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
Gine E, Götze F, Mason DM (1997)
When is the student t-statistic asymptotically standard normal?
ANNALS OF PROBABILITY 25(3): 1514-1531.
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
Bickel PJ, Götze F, vanZwet WR (1997)
Resampling fewer than n observations: Gains, losses, and remedies for losses.
STATISTICA SINICA 7(1): 1-31.
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
Bentkus V, Götze F, van Zwet WR (1997)
An Edgeworth expansion for symmetric statistics.
ANNALS OF STATISTICS 25(2): 851-896.
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
Bentkus V, Götze F (1996)
On minimal moment assumptions in Berry-Esseen theorems for U-statistics.
THEORY OF PROBABILITY AND ITS APPLICATIONS 40(3): 430-445.
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
Götze F, Prokhorov YV, Ulyanov VV (1996)
Bounds for characteristic functions of polynomials in asymptotically normal random variables.
RUSSIAN MATHEMATICAL SURVEYS 51(2): 181-204.
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739
Bentkus V, Bloznelis M, Götze F (1996)
A Berry-Esseen bound for student's statistic in the non-iid case.
JOURNAL OF THEORETICAL PROBABILITY 9(3): 765-796.
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
Bentkus V, Götze F, Paulauskas V (1996)
Bounds for the accuracy of Poissonian approximations of stable laws.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65(1): 55-68.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
Götze F, Kunsch HR (1996)
Second-order correctness of the blockwise bootstrap for stationary observations.
ANNALS OF STATISTICS 24(5): 1914-1933.
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
Bentkus V, Götze F (1996)
The Berry-Esseen bound for student's statistic.
ANNALS OF PROBABILITY 24(1): 491-503.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
Bentkus V, Götze F (1996)
Optimal rates of convergence in the CLT for quadratic forms.
ANNALS OF PROBABILITY 24(1): 466-490.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
Götze F, Heinrich L, Hipp C (1995)
M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION.
SCANDINAVIAN JOURNAL OF STATISTICS 22(2): 183-195.
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
Bentkus V, Götze F (1995)
ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS.
DOKLADY AKADEMII NAUK 343(4): 439-440.
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
Götze F, Hipp C (1994)
ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES.
ANNALS OF STATISTICS 22(4): 2062-2088.
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
Bentkus V, Götze F (1993)
ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES.
PROBABILITY THEORY AND RELATED FIELDS 96(2): 137-151.
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
Bolthausen E, Götze F (1993)
THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS.
ANNALS OF STATISTICS 21(4): 1692-1710.
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
Götze F (1991)
ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT.
ANNALS OF PROBABILITY 19(2): 724-739.
PUB | DOI | WoS
 
[6]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279
Götze F, Hipp C (1990)
LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD.
ANNALS OF PROBABILITY 18(2): 810-828.
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
Götze F, HIPP C (1989)
ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS.
PROBABILITY THEORY AND RELATED FIELDS 82(3): 349-370.
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
Götze F (1989)
EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS.
ANNALS OF PROBABILITY 17(4): 1602-1634.
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
Götze F (1987)
APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS.
JOURNAL OF MULTIVARIATE ANALYSIS 22(2): 212-229.
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
Götze F (1986)
ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES.
ANNALS OF PROBABILITY 14(3): 922-942.
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
Bickel PJ, Götze F, Vanzwet WR (1986)
THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2.
ANNALS OF STATISTICS 14(4): 1463-1484.
PUB | DOI | WoS
 

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[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
Götze F, Naumov AA, Tikhomirov AN (2019)
On Optimal Bounds in the Local Semicircle Law under Four Moment Condition.
DOKLADY MATHEMATICS 99(1): 40-43.
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Bobkov SC, Götze F, Sambale H (2019)
Higher order concentration of measure.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21(3): 1850043.
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
Bobkov SG, Chistyakov G, Götze F (2019)
RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM.
ANNALS OF PROBABILITY 47(1): 270-323.
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
Götze F, Naumov A, Tikhomirov A, Timushev D (2018)
On the local semicircular law for Wigner ensembles.
BERNOULLI 24(3): 2358-2400.
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
Götze F, Naumov AA, Tikhomirov AN (2018)
LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION.
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(1): 58-83.
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
Götze F, Eliseeva YS, Zaitsev AY (2018)
ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM.
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(2): 196-215.
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
Prokhorov YV, Götze F, Ulyanov VV (2018)
ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES.
THEORY OF PROBABILITY AND ITS APPLICATIONS 62(1): 98-116.
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
Götze F, Zaitsev AY (2018)
New applications of Arak's inequalities to the Littlewood-Offord problem.
EUROPEAN JOURNAL OF MATHEMATICS 4(2): 639-663.
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Bobkov SG, Chistyakov G, Götze F (2018)
Berry-Esseen bounds for typical weighted sums.
ELECTRONIC JOURNAL OF PROBABILITY 23: 92.
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Götze F, Naumov A, Tikhomirov A (2017)
Distribution of linear statistics of singular values of the product of random matrices.
Bernoulli 23(4B): 3067-3113.
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
Götze F, Gusakova A (2017)
On algebraic integers in short intervals and near smooth curves.
ACTA ARITHMETICA 179(3): 251-265.
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Bernik V, Budarina N, Götze F (2017)
Exact upper bounds for the number of the polynomials with given discriminants.
LITHUANIAN MATHEMATICAL JOURNAL 57(3): 283-293.
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Götze F, Naumov A, Ulyanov V (2017)
Asymptotic Analysis of Symmetric Functions.
JOURNAL OF THEORETICAL PROBABILITY 30(3): 876-897.
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Bobkov SG, Chistyakov GP, Götze F (2017)
Second-order concentration on the sphere.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 19(5): 1650058.
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
Götze F, Kaliada D, Zaporozhets D (2017)
DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145(1): 61-71.
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Götze F, Naumov AA, Tikhomirov AN (2017)
Local Laws for Non-Hermitian Random Matrices.
DOKLADY MATHEMATICS 96(3): 558-560.
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Beresnevich V, Bernik V, Götze F (2016)
Integral polynomials with small discriminants and resultants.
ADVANCES IN MATHEMATICS 298: 393-412.
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Götze F, Tikhomirov A (2016)
Optimal bounds for convergence of expected spectral distributions to the semi-circular law.
PROBABILITY THEORY AND RELATED FIELDS 165(1-2): 163-233.
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Bobkov SG, Chistyakov GP, Götze F (2016)
Regularized distributions and entropic stability of Cramer's characterization of the normal law.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126(12): 3865-3887.
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Götze F, Eliseeva YS, Zaitsev AY (2016)
Arak's inequalities for concentration functions and the Littlewood-Offord problem.
DOKLADY MATHEMATICS 93(2): 202-206.
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
Götze F, Naumov A, Tikhomirov A (2015)
ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES.
Acta Physica Polonica B 46(9): 1737-1745.
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
Götze F, Naumov AA, Tikhomirov AN (2015)
LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES.
THEORY OF PROBABILITY AND ITS APPLICATIONS 59(1): 23-39.
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
Götze F, Naumov A, Tikhomirov A (2015)
On minimal singular values of random matrices with correlated entries.
RANDOM MATRICES-THEORY AND APPLICATIONS 4(2): 30.
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Götze F, Kösters H, Tikhomirov A (2015)
Asymptotic spectra of matrix-valued functions of independent random matrices and free probability.
RANDOM MATRICES-THEORY AND APPLICATIONS 4(2): 85.
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Bernik VI, Götze F (2015)
Distribution of real algebraic numbers of arbitrary degree in short intervals.
Izvestiya Mathematics 79(1): 18-39.
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Baake M, Götze F, Huck C, Jakobi T (2014)
Radial spacing distributions from planar point sets.
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
Götze F, Zaitsev AY (2014)
EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS.
The Annals of Probability 42(1): 354-397.
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Budarina NV, Götze F (2014)
Distance between conjugate algebraic numbers in clusters.
Mathematical Notes 94(5-6): 816-819.
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
Götze F, Venker M (2014)
LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES.
The Annals of Probability 42(6): 2207-2242.
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Bobkov SG, Chistyakov GP, Götze F (2014)
Fisher information and convergence to stable laws.
Bernoulli 20(3): 1620-1646.
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
Bernik V, Götze F, Kukso O (2014)
On algebraic points in the plane near smooth curves.
Lithuanian Mathematical Journal 54(3): 231-251.
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Bobkov SG, Chistyakov G, Götze F (2014)
Berry-Esseen bounds in the entropic central limit theorem.
Probability Theory and Related Fields 159(3-4): 435-478.
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Bobkov SG, Chistyakov GP, Götze F (2014)
Fisher information and the central limit theorem.
Probability Theory and Related Fields 159(1-2): 1-59.
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Bloznelis M, Götze F (2014)
Preferred Attachment in Affiliation Networks.
Journal of Statistical Physics 156(4): 800-821.
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
Kaliada D, Götze F, Kukso O (2014)
The asymptotic number of integral cubic polynomials with bounded heights and discriminants.
Lithuanian Mathematical Journal 54(2): 150-165.
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
Götze F, Van Zwet WR (2013)
THE TIMES OF YURI VASILYEVICH PROKHOROV.
Theory Of Probability & Its Applications 57(2): 306-322.
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Bobkov SG, Chistyakov G, Götze F (2013)
Convergence to Stable Laws in Relative Entropy.
Journal Of Theoretical Probability 26(3): 803-818.
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Chistyakov G, Götze F (2013)
Asymptotic expansions in the CLT in free probability.
Probability Theory And Related Fields 157(1-2): 107-156.
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
Bobkov SG, Chistyakov G, Götze F (2013)
STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS.
Theory Of Probability & Its Applications 57(4): 568-588.
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
Bobkov SG, Chistyakov GP, Götze F (2013)
RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM.
The Annals Of Probability 41(4): 2479-2512.
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
Bloznelis M, Götze F, Jaworski J (2012)
BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH.
Journal of Applied Probability 49(3): 601-611.
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
Götze F, Zaporozhets D (2012)
ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS.
Theory Of Probability & Its Applications 56(4): 696-U217.
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bobkov SG, Chistyakov G, Götze F (2012)
Bounds for characteristic functions in terms of quantiles and entropy.
ELECTRONIC COMMUNICATIONS IN PROBABILITY 17: 1-9.
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Chistyakov G, Götze F, Lehner F (2011)
Freeness of linear and quadratic forms in von Neumann algebras.
Journal of Functional Analysis 261(10): 2829-2844.
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
Chistyakov G, Götze F (2011)
The arithmetic of distributions in free probability theory.
Central European Journal of Mathematics 9(5): 997-1050.
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
Bloznelis M, Götze F, Paulauskas V, Rackauskas A, van Zwet W (2010)
VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM.
Lithuanian Mathematical Journal 50(4): 367-371.
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
Alexeev N, Götze F, Tikhomirov A (2010)
ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES.
LITHUANIAN MATHEMATICAL JOURNAL 50(2): 121-132.
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
Bobkov SG, Götze F, Tikhomirov AN (2010)
On Concentration of Empirical Measures and Convergence to the Semi-circle Law.
JOURNAL OF THEORETICAL PROBABILITY 23(3): 792-823.
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
Götze F, Tikhomirov A (2010)
THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES.
THEORY OF PROBABILITY AND ITS APPLICATIONS 54(1): 129-U7.
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
Alexeev NV, Götze F, Tikhomirov AN (2010)
On the Singular Spectrum of Powers and Products of Random Matrices.
DOKLADY MATHEMATICS 82(1): 505-507.
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
Götze F, Tikhomirov A (2010)
THE CIRCULAR LAW FOR RANDOM MATRICES.
ANNALS OF PROBABILITY 38(4): 1444-1491.
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
Bobkov SG, Götze F (2010)
Concentration of empirical distribution functions with applications to non-i.i.d. models.
Bernoulli 16(4): 1385-1414.
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
Beresnevich V, Bernik V, Götze F (2010)
The distribution of close conjugate algebraic numbers.
COMPOSITIO MATHEMATICA 146(5): 1165-1179.
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
Götze F, Zaitsev AY (2009)
BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE.
THEORY OF PROBABILITY AND ITS APPLICATIONS 53(1): 59-80.
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
Götze F, Kösters H (2009)
On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix.
COMMUNICATIONS IN MATHEMATICAL PHYSICS 285(3): 1183-1205.
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Bernik V, Götze F, Kukso O (2008)
Lower bounds for the number of integral polynomials with given order of discriminants.
ACTA ARITHMETICA 133(4): 375-390.
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
Bernik V, Götze F, Kukso O (2008)
On the divisibility of the discriminant of an integral polynomial by prime powers.
LITHUANIAN MATHEMATICAL JOURNAL 48(4): 380-396.
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Chistyakov G, Götze F (2008)
Limit theorems in free probability theory I.
ANNALS OF PROBABILITY 36(1): 54-90.
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Chistyakov G, Götze F (2008)
Limit theorems in free probability theory II.
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6(1): 87-117.
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Götze F, Gordin M (2008)
Limit correlation functions for fixed trace random matrix ensembles.
COMMUNICATIONS IN MATHEMATICAL PHYSICS 281(1): 203-229.
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Chistyakov G, Götze F (2007)
Independence of linear forms with random coefficients.
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 1-24.
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
Götze F, Tikhomirov A, Timushev DA (2007)
Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble.
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5(2): 305-334.
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Bobkov SG, Götze F (2007)
Concentration inequalities and limit theorems for randomized sums.
PROBABILITY THEORY AND RELATED FIELDS 137(1-2): 49-81.
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
Bogatyrev SA, Götze F, Ulyanov VV (2006)
Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space.
JOURNAL OF MULTIVARIATE ANALYSIS 97(9): 2041-2056.
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Götze F, Tikhomirov AN (2006)
Limit theorems for spectra of random matrices with martingale structure.
THEORY OF PROBABILITY AND ITS APPLICATIONS 51(1): 42-64.
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Götze F, Tikhomirov AN (2005)
Asymptotic expansions in non-central limit theorems for quadratic forms.
JOURNAL OF THEORETICAL PROBABILITY 18(4): 757-811.
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
Gine E, Götze F (2004)
On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors.
ELECTRONIC COMMUNICATIONS IN PROBABILITY 9: 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Götze F, Tikhomirov A (2004)
Rate of convergence in probability to the Marchenko-Pastur law.
BERNOULLI 10(3): 503-548.
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
Götze F, Gordin M (2004)
Limiting distributions of theta series on Siegel half-spaces.
St. Petersburg mathematical journal 15(1): 81-102.
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
Chistyakov G, Götze F (2004)
Distribution of the shape of Markovian random words.
PROBABILITY THEORY AND RELATED FIELDS 129(1): 18-36.
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Chistyakov G, Götze F (2004)
Limit distributions of studentized means.
ANNALS OF PROBABILITY 32(1A): 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Götze F (2004)
Lattice point problems and values of quadratic forms.
INVENTIONES MATHEMATICAE 157(1): 195-226.
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
Chistyakov G, Götze F (2003)
On bounds for moderate deviations for student's statistic.
THEORY OF PROBABILITY AND ITS APPLICATIONS 48(3): 528-535.
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Götze F, Tikhomirov A (2003)
Rate of convergence to the semi-circular law.
PROBABILITY THEORY AND RELATED FIELDS 127(2): 228-276.
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
Bobkov SG, Götze F (2003)
On the central limit theorem along subsequences of noncorrelated observations.
THEORY OF PROBABILITY AND ITS APPLICATIONS 48(4): 604-621.
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Götze F, Tikhomirov A (2002)
Asymptotic distribution of quadratic forms and applications.
JOURNAL OF THEORETICAL PROBABILITY 15(2): 423-475.
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
Bloznelis M, Götze F (2002)
An Edgeworth expansion for symmetric finite population statistics.
ANNALS OF PROBABILITY 30(3): 1238-1265.
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
Chistyakov G, Götze F (2002)
Moderate deviations for student's statistic.
THEORY OF PROBABILITY AND ITS APPLICATIONS 47(3): 415-428.
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Götze F, Tikhomirov AN (2002)
Rate of convergence to the semicircular law for the Gaussian unitary ensemble.
THEORY OF PROBABILITY AND ITS APPLICATIONS 47(2): 323-330.
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
Bentkus V, Götze F (2001)
Lattice points in multidimensional bodies.
FORUM MATHEMATICUM 13(2): 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
Bobkov SG, Götze F, Houdre C (2001)
On Gaussian and Bernoulli covariance representations.
BERNOULLI 7(3): 439-451.
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952
Bloznelis M, Götze F (2001)
Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics.
ANNALS OF STATISTICS 29(3): 899-917.
PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
Bloznelis M, Götze F (2000)
An edgeworth expansion for finite-population U-statistics.
BERNOULLI 6(4): 729-760.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
Bobkov SG, Götze F (1999)
Discrete isoperimetric and Poincare-type inequalities.
PROBABILITY THEORY AND RELATED FIELDS 114(2): 245-277.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
Bloznelis M, Götze F (1999)
One-term Edgeworth expansion for finite population U-statistics of degree two.
ACTA APPLICANDAE MATHEMATICAE 58(1-3): 75-90.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
Bentkus V, Götze F (1999)
Optimal bounds in non-Gaussian limit theorems for U-statistics.
ANNALS OF PROBABILITY 27(1): 454-521.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
Bobkov SG, Götze F (1999)
Exponential integrability and transportation cost related to logarithmic sobolev inequalities.
JOURNAL OF FUNCTIONAL ANALYSIS 163(1): 1-28.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
Bentkus V, Götze F (1999)
Lattice point problems and distribution of values of quadratic forms.
ANNALS OF MATHEMATICS 150(3): 977-1027.
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
Götze F, Tikhomirov AN (1999)
Asymptotic distribution of quadratic forms.
ANNALS OF PROBABILITY 27(2): 1072-1098.
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
Bentkus V, Götze F, Zaitsev AY (1998)
Approximation of quadratic forms of independent random vectors by accompanying laws.
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(2): 189-212.
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
Götze F, Prokhorov YV, Ulyanov VV (1998)
On smooth behavior of probability distributions under polynomial mappings.
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(1): 28-38.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
Bobkov SG, Götze F (1998)
On moments of polynomials.
THEORY OF PROBABILITY AND ITS APPLICATIONS 42(3): 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Götze F, Zaitsev AY (1998)
Estimates for the rapid decay of concentration functions of n-fold convolutions.
JOURNAL OF THEORETICAL PROBABILITY 11(3): 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Götze F (1998)
Lattice point problems and the central limit theorem in Euclidean spaces.
Documenta Mathematica 1998(Extra Vol. III): 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Götze F (1998)
Errata: "Lattice point problems and the central limit theorem in Euclidean spaces".
Documenta Mathematica 1998(Extra Vol. I): 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Bentkus V, Götze F, Tikhomirov A (1997)
Berry-Esseen bounds for statistics of weakly dependent samples.
BERNOULLI 3(3): 329-349.
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
Bentkus V, Bloznelis M, Götze F (1997)
A Berry-Esseen bound for M-estimators.
SCANDINAVIAN JOURNAL OF STATISTICS 24(4): 485-502.
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698
Bentkus V, Götze F (1997)
Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces.
PROBABILITY THEORY AND RELATED FIELDS 109(3): 367-416.
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
Bentkus V, Götze F (1997)
On the lattice point problem for ellipsoids.
ACTA ARITHMETICA 80(2): 101-125.
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
Gine E, Götze F, Mason DM (1997)
When is the student t-statistic asymptotically standard normal?
ANNALS OF PROBABILITY 25(3): 1514-1531.
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
Bickel PJ, Götze F, vanZwet WR (1997)
Resampling fewer than n observations: Gains, losses, and remedies for losses.
STATISTICA SINICA 7(1): 1-31.
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
Bentkus V, Götze F, van Zwet WR (1997)
An Edgeworth expansion for symmetric statistics.
ANNALS OF STATISTICS 25(2): 851-896.
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
Bentkus V, Götze F (1996)
On minimal moment assumptions in Berry-Esseen theorems for U-statistics.
THEORY OF PROBABILITY AND ITS APPLICATIONS 40(3): 430-445.
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
Götze F, Prokhorov YV, Ulyanov VV (1996)
Bounds for characteristic functions of polynomials in asymptotically normal random variables.
RUSSIAN MATHEMATICAL SURVEYS 51(2): 181-204.
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739
Bentkus V, Bloznelis M, Götze F (1996)
A Berry-Esseen bound for student's statistic in the non-iid case.
JOURNAL OF THEORETICAL PROBABILITY 9(3): 765-796.
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
Bentkus V, Götze F, Paulauskas V (1996)
Bounds for the accuracy of Poissonian approximations of stable laws.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65(1): 55-68.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
Götze F, Kunsch HR (1996)
Second-order correctness of the blockwise bootstrap for stationary observations.
ANNALS OF STATISTICS 24(5): 1914-1933.
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
Bentkus V, Götze F (1996)
The Berry-Esseen bound for student's statistic.
ANNALS OF PROBABILITY 24(1): 491-503.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
Bentkus V, Götze F (1996)
Optimal rates of convergence in the CLT for quadratic forms.
ANNALS OF PROBABILITY 24(1): 466-490.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
Götze F, Heinrich L, Hipp C (1995)
M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION.
SCANDINAVIAN JOURNAL OF STATISTICS 22(2): 183-195.
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
Bentkus V, Götze F (1995)
ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS.
DOKLADY AKADEMII NAUK 343(4): 439-440.
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
Götze F, Hipp C (1994)
ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES.
ANNALS OF STATISTICS 22(4): 2062-2088.
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
Bentkus V, Götze F (1993)
ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES.
PROBABILITY THEORY AND RELATED FIELDS 96(2): 137-151.
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
Bolthausen E, Götze F (1993)
THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS.
ANNALS OF STATISTICS 21(4): 1692-1710.
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
Götze F (1991)
ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT.
ANNALS OF PROBABILITY 19(2): 724-739.
PUB | DOI | WoS
 
[6]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279
Götze F, Hipp C (1990)
LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD.
ANNALS OF PROBABILITY 18(2): 810-828.
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
Götze F, HIPP C (1989)
ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS.
PROBABILITY THEORY AND RELATED FIELDS 82(3): 349-370.
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
Götze F (1989)
EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS.
ANNALS OF PROBABILITY 17(4): 1602-1634.
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
Götze F (1987)
APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS.
JOURNAL OF MULTIVARIATE ANALYSIS 22(2): 212-229.
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
Götze F (1986)
ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES.
ANNALS OF PROBABILITY 14(3): 922-942.
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
Bickel PJ, Götze F, Vanzwet WR (1986)
THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2.
ANNALS OF STATISTICS 14(4): 1463-1484.
PUB | DOI | WoS
 

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