PUB - Publikationen an der Universität Bielefeld

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• [151]
  

  2025 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 3002086

  Bobkov SG, Götze F (2025)
  Berry-Esseen bounds in the local limit theorems.
  Lithuanian Mathematical Journal .

  PUB | DOI | WoS
   
• [150]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990764

  Feng R, Götze F, Yao D (2024)
  Smallest gaps between zeros of stationary Gaussian processes.
  Journal of Functional Analysis 287(4): 110493.

  PUB | DOI | WoS
   
• [149]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990002

  Bobkov SG, Chistyakov GP, Götze F (2024)
  Strictly subgaussian probability distributions.
  Electronic Journal of Probability 29: 62.

  PUB | DOI | WoS
   
• [148]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2981953

  Bobkov SGG, Chistyakov G, Götze F (2023)
  Richter's local limit theorem, its refinement, and related results*.
  Lithuanian Mathematical Journal 63(2): 138–160.

  PUB | PDF | DOI | WoS
   
• [147]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984564

  Götze F, Tikhomirov A (2023)
  On the largest and the smallest singular value of sparse rectangular random matrices.
  Electronic Journal of Probability 28: 27.

  PUB | DOI | WoS
   
• [146]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980945

  Götze F, Sambale H (2023)
  Higher order concentration on Stiefel and Grassmann manifolds.
  Electronic Journal of Probability 28: 79.

  PUB | DOI | WoS
   
• [145]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2961330

  Buterus P, Götze F, Hille T, Margulis G (2022)
  Distribution of values of quadratic forms at integral points.
  Inventiones Mathematicae 227.

  PUB | PDF | DOI | WoS
   
• [144]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2964051

  Bloznelis M, Götze F (2022)
  Edgeworth approximations for distributions of symmetric statistics.
  Probability Theory and Related Fields 183: 1153–1235 .

  PUB | PDF | DOI | WoS
   
• [143]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210

  Götze F, Zaitsev AY (2022)
  A New Bound in the Littlewood–Offord Problem.
  Mathematics 10(10): 1740.

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [142]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963454

  Götze F, Zaitsev Y (2022)
  On Alternative Approximating Distributions in the Multivariate Version of Kolmogorov's Second Uniform Limit Theorem.
  Theory of Probability and its Applications : a publication of the Society for Industrial and Applied Mathematics 67(1): 1-16.

  PUB | DOI | WoS
   
• [141]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961326

  Chistyakov G, Götze F (2022)
  Approximation of Free Convolutions by Free Infinitely Divisible Laws.
  Theory of Probability and its Applications 66(4): 640-667.

  PUB | DOI | WoS
   
• [140]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962433

  Götze F, Timushev DA, Tikhomirov AN (2021)
  Local Marchenko-Pastur Law for Sparse Rectangular Random Matrices.
  Doklady Mathematics 104(3): 332-335.

  PUB | DOI | WoS
   
• [139]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960439

  Bickel P, Fiocco M, de Gunst M, Götze F (2021)
  Willem van Zwet’s research.
  Annals of Statistics 49(5): 2439-2447.

  PUB | DOI | WoS
   
• [138]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955377

  Akemann G, Götze F, Neuschel T (2021)
  Characteristic polynomials of products of non-Hermitian Wigner matrices: finite-N results and Lyapunov universality.
  Electronic Communications in Probability 26: 30.

  PUB | DOI | WoS | arXiv
   
• [137]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957345

  Götze F, Jalowy J (2021)
  Rate of convergence to the Circular Law via smoothing inequalities for log-potentials.
  Random Matrices: Theory and Applications 10(3): 2150026.

  PUB | DOI | WoS
   
• [136]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955131

  Götze F, Sambale H, Sinulis A (2021)
  Concentration inequalities for polynomials in alpha-sub-exponential random variables.
  Electronic Journal of Probability 26: 48.

  PUB | DOI | WoS
   
• [135]
  

  2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2944514

  Götze F, Sambale H, Sinulis A (2020)
  Concentration Inequalities for Bounded Functionals via Log-Sobolev-Type Inequalities.
  JOURNAL OF THEORETICAL PROBABILITY.

  PUB | PDF | DOI | WoS
   
• [134]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950253

  Bobkov SG, Chistyakov G, Götze F (2020)
  Poincare inequalities and normal approximation for weighted sums.
  Electronic Journal of Probability 25: 155.

  PUB | DOI | WoS
   
• [133]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945600

  Götze F, Naumov A, Tikhomirov A (2020)
  Local laws for non-Hermitian random matrices and their products.
  Random Matrices: Theory and Applications 9(4): 2150004.

  PUB | DOI | WoS
   
• [132]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945598

  Götze F, Gusakova A (2020)
  On the distribution of Salem numbers.
  Journal of Number Theory 216: 192-215.

  PUB | DOI | WoS
   
• [131]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945437

  Götze F, Naumov A, Tikhomirov A (2020)
  Local Semicircle Law Under Fourth Moment Condition.
  JOURNAL OF THEORETICAL PROBABILITY 33(3): 1327-1362.

  PUB | DOI | WoS
   
• [130]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945466

  Götze F, Naumov AA, Tikhomirov AN (2020)
  MOMENT INEQUALITIES FOR LINEAR AND NONLINEAR STATISTICS.
  THEORY OF PROBABILITY AND ITS APPLICATIONS 65(1): 1-16.

  PUB | DOI | WoS
   
• [129]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945467

  Dzindzalieta D, Götze F (2020)
  HALF-SPACES WITH INFLUENTIAL VARIABLE.
  THEORY OF PROBABILITY AND ITS APPLICATIONS 65(1): 114-120.

  PUB | DOI | WoS
   
• [128]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944785

  Bobkov SG, Chistyakov G, Götze F (2020)
  NORMAL APPROXIMATION FOR WEIGHTED SUMS UNDER A SECOND-ORDER CORRELATION CONDITION.
  ANNALS OF PROBABILITY 48(3): 1202-1219.

  PUB | DOI | WoS
   
• [127]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946631

  Götze F, Gusakova A, Zaporozhets D (2019)
  Random affine simplexes.
  Journal of Applied Probability 56(01): 39-51.

  PUB | DOI | WoS
   
• [126]
  

  2019 | Preprint | PUB-ID: 2934694

  Baumeister B, Bux K-U, Götze F, Kielak D, Krause H (2019)
  Non-crossing partitions.
  arXiv:1903.01146.

  PUB | arXiv
   
• [125]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723

  Götze F, Naumov A, Spokoiny V, Ulyanov V (2019)
  Large ball probabilities, Gaussian comparison and anti-concentration.
  Bernoulli 25(4A): 2538-2563.

  PUB | DOI | WoS | arXiv
   
• [124]
  

  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
   
• [123]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941909

  Bobkov SG, Chistyakov G, Götze F (2019)
  Nonuniform bounds in the Poisson approximation with applications to informational distances. II.
  LITHUANIAN MATHEMATICAL JOURNAL 59(4): 469-497.

  PUB | DOI | WoS
   
• [122]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741

  Götze F, Sambale H, Sinulis A (2019)
  Higher order concentration for functions of weakly dependent random variables.
  Electronic Journal of Probability 24: 85.

  PUB | DOI | WoS
   
• [121]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338

  Bobkov SG, Chistyakov G, Götze F (2019)
  Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I.
  IEEE Transactions on Information Theory 65(9): 5283-5293.

  PUB | DOI | WoS
   
• [120]
  

  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
   
• [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: 2931538

  Bobkov SG, Chistyakov G, Götze F (2018)
  Berry-Esseen bounds for typical weighted sums.
  Electronic Journal of Probability 23: 92.

  PUB | DOI | WoS
   
• [117]
  

  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
   
• [116]
  

  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
   
• [115]
  

  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
   
• [114]
  

  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
   
• [113]
  

  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
   
• [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.

  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: 1586665

  Chistyakov G, Götze F (2008)
  Limit theorems in free probability theory II.
  CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6(1): 87-117.

  PUB | PDF | DOI | WoS
   
• [65]
  

  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
   
• [64]
  

  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
   
• [63]
  

  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
   
• [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: 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
   
• [36]
  

  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
   
• [35]
  

  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
   
• [34]
  

  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
   
• [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: 1652233

  Götze F (1989)
  EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS.
  ANNALS OF PROBABILITY 17(4): 1602-1634.

  PUB | DOI | WoS
   
• [4]
  

  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
   
• [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