PUB - Publikationen an der Universität Bielefeld

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• [151]
  

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

  S.G. Bobkov and F. Götze, “Berry-Esseen bounds in the local limit theorems”, Lithuanian Mathematical Journal , 2025.

  PUB | DOI | WoS
   
• [150]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990764

  R. Feng, F. Götze, and D. Yao, “Smallest gaps between zeros of stationary Gaussian processes”, Journal of Functional Analysis, vol. 287, 2024, : 110493.

  PUB | DOI | WoS
   
• [149]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990002

  S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Strictly subgaussian probability distributions”, Electronic Journal of Probability , vol. 29, 2024, : 62.

  PUB | DOI | WoS
   
• [148]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2981953

  S.G.G. Bobkov, G. Chistyakov, and F. Götze, “Richter's local limit theorem, its refinement, and related results*”, Lithuanian Mathematical Journal, vol. 63, 2023, pp. 138–160.

  PUB | PDF | DOI | WoS
   
• [147]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984564

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

  PUB | DOI | WoS
   
• [146]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980945

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

  PUB | DOI | WoS
   
• [145]
  

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

  P. Buterus, et al., “Distribution of values of quadratic forms at integral points”, Inventiones Mathematicae , vol. 227, 2022.

  PUB | PDF | DOI | WoS
   
• [144]
  

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

  M. Bloznelis and F. Götze, “Edgeworth approximations for distributions of symmetric statistics”, Probability Theory and Related Fields, vol. 183, 2022, pp. 1153–1235 .

  PUB | PDF | DOI | WoS
   
• [143]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210

  F. Götze and A.Y. Zaitsev, “A New Bound in the Littlewood–Offord Problem”, Mathematics, vol. 10, 2022, : 1740.

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

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963454

  F. Götze and Y. Zaitsev, “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 , vol. 67, 2022, pp. 1-16.

  PUB | DOI | WoS
   
• [141]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961326

  G. Chistyakov and F. Götze, “Approximation of Free Convolutions by Free Infinitely Divisible Laws”, Theory of Probability and its Applications , vol. 66, 2022, pp. 640-667.

  PUB | DOI | WoS
   
• [140]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962433

  F. Götze, D.A. Timushev, and A.N. Tikhomirov, “Local Marchenko-Pastur Law for Sparse Rectangular Random Matrices”, Doklady Mathematics, vol. 104, 2021, pp. 332-335.

  PUB | DOI | WoS
   
• [139]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960439

  P. Bickel, et al., “Willem van Zwet’s research”, Annals of Statistics, vol. 49, 2021, pp. 2439-2447.

  PUB | DOI | WoS
   
• [138]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955377

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

  PUB | DOI | WoS | arXiv
   
• [137]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957345

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

  PUB | DOI | WoS
   
• [136]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955131

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

  PUB | DOI | WoS
   
• [135]
  

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

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

  PUB | PDF | DOI | WoS
   
• [134]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950253

  S.G. Bobkov, G. Chistyakov, and F. Götze, “Poincare inequalities and normal approximation for weighted sums”, Electronic Journal of Probability, vol. 25, 2020, : 155.

  PUB | DOI | WoS
   
• [133]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945600

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

  PUB | DOI | WoS
   
• [132]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945598

  F. Götze and A. Gusakova, “On the distribution of Salem numbers”, Journal of Number Theory, vol. 216, 2020, pp. 192-215.

  PUB | DOI | WoS
   
• [131]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945437

  F. Götze, A. Naumov, and A. Tikhomirov, “Local Semicircle Law Under Fourth Moment Condition”, JOURNAL OF THEORETICAL PROBABILITY, vol. 33, 2020, pp. 1327-1362.

  PUB | DOI | WoS
   
• [130]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945466

  F. Götze, A.A. Naumov, and A.N. Tikhomirov, “MOMENT INEQUALITIES FOR LINEAR AND NONLINEAR STATISTICS”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 65, 2020, pp. 1-16.

  PUB | DOI | WoS
   
• [129]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945467

  D. Dzindzalieta and F. Götze, “HALF-SPACES WITH INFLUENTIAL VARIABLE”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 65, 2020, pp. 114-120.

  PUB | DOI | WoS
   
• [128]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944785

  S.G. Bobkov, G. Chistyakov, and F. Götze, “NORMAL APPROXIMATION FOR WEIGHTED SUMS UNDER A SECOND-ORDER CORRELATION CONDITION”, ANNALS OF PROBABILITY, vol. 48, 2020, pp. 1202-1219.

  PUB | DOI | WoS
   
• [127]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946631

  F. Götze, A. Gusakova, and D. Zaporozhets, “Random affine simplexes”, Journal of Applied Probability, vol. 56, 2019, pp. 39-51.

  PUB | DOI | WoS
   
• [126]
  

  2019 | Preprint | PUB-ID: 2934694

  B. Baumeister, et al., “Non-crossing partitions”, arXiv:1903.01146, 2019.

  PUB | arXiv
   
• [125]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723

  F. Götze, et al., “Large ball probabilities, Gaussian comparison and anti-concentration”, Bernoulli, vol. 25, 2019, pp. 2538-2563.

  PUB | DOI | WoS | arXiv
   
• [124]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874

  S.C. Bobkov, F. Götze, and H. Sambale, “Higher order concentration of measure”, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 21, 2019, : 1850043.

  PUB | DOI | WoS
   
• [123]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941909

  S.G. Bobkov, G. Chistyakov, and F. Götze, “Nonuniform bounds in the Poisson approximation with applications to informational distances. II”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 59, 2019, pp. 469-497.

  PUB | DOI | WoS
   
• [122]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741

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

  PUB | DOI | WoS
   
• [121]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338

  S.G. Bobkov, G. Chistyakov, and F. Götze, “Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I”, IEEE Transactions on Information Theory, vol. 65, 2019, pp. 5283-5293.

  PUB | DOI | WoS
   
• [120]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036

  F. Götze, A.A. Naumov, and A.N. Tikhomirov, “On Optimal Bounds in the Local Semicircle Law under Four Moment Condition”, DOKLADY MATHEMATICS, vol. 99, 2019, pp. 40-43.

  PUB | DOI | WoS
   
• [119]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956

  S.G. Bobkov, G. Chistyakov, and F. Götze, “RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM”, ANNALS OF PROBABILITY, vol. 47, 2019, pp. 270-323.

  PUB | DOI | WoS
   
• [118]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538

  S.G. Bobkov, G. Chistyakov, and F. Götze, “Berry-Esseen bounds for typical weighted sums”, Electronic Journal of Probability, vol. 23, 2018, : 92.

  PUB | DOI | WoS
   
• [117]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644

  F. Götze, et al., “On the local semicircular law for Wigner ensembles”, BERNOULLI, vol. 24, 2018, pp. 2358-2400.

  PUB | DOI | WoS
   
• [116]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353

  F. Götze, A.A. Naumov, and A.N. Tikhomirov, “LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 58-83.

  PUB | DOI | WoS
   
• [115]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708

  F. Götze, Y.S. Eliseeva, and A.Y. Zaitsev, “ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 196-215.

  PUB | DOI | WoS
   
• [114]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354

  Y.V. Prokhorov, F. Götze, and V.V. Ulyanov, “ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 98-116.

  PUB | DOI | WoS
   
• [113]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279

  F. Götze and A.Y. Zaitsev, “New applications of Arak's inequalities to the Littlewood-Offord problem”, EUROPEAN JOURNAL OF MATHEMATICS, vol. 4, 2018, pp. 639-663.

  PUB | DOI | WoS
   
• [112]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434

  F. Götze, A. Naumov, and A. Tikhomirov, “Distribution of linear statistics of singular values of the product of random matrices”, Bernoulli, vol. 23, 2017, pp. 3067-3113.

  PUB | DOI | WoS
   
• [111]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113

  F. Götze and A. Gusakova, “On algebraic integers in short intervals and near smooth curves”, ACTA ARITHMETICA, vol. 179, 2017, pp. 251-265.

  PUB | DOI | WoS
   
• [110]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993

  V. Bernik, N. Budarina, and F. Götze, “Exact upper bounds for the number of the polynomials with given discriminants”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 57, 2017, pp. 283-293.

  PUB | DOI | WoS
   
• [109]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474

  F. Götze, A. Naumov, and V. Ulyanov, “Asymptotic Analysis of Symmetric Functions”, JOURNAL OF THEORETICAL PROBABILITY, vol. 30, 2017, pp. 876-897.

  PUB | DOI | WoS
   
• [108]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145

  S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Second-order concentration on the sphere”, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 19, 2017, : 1650058.

  PUB | DOI | WoS
   
• [107]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422

  F. Götze, D. Kaliada, and D. Zaporozhets, “DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS”, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 145, 2017, pp. 61-71.

  PUB | DOI | WoS
   
• [106]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051

  F. Götze, A.A. Naumov, and A.N. Tikhomirov, “Local Laws for Non-Hermitian Random Matrices”, DOKLADY MATHEMATICS, vol. 96, 2017, pp. 558-560.

  PUB | DOI | WoS
   
• [105]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683

  V. Beresnevich, V. Bernik, and F. Götze, “Integral polynomials with small discriminants and resultants”, ADVANCES IN MATHEMATICS, vol. 298, 2016, pp. 393-412.

  PUB | DOI | WoS
   
• [104]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070

  F. Götze and A. Tikhomirov, “Optimal bounds for convergence of expected spectral distributions to the semi-circular law”, PROBABILITY THEORY AND RELATED FIELDS, vol. 165, 2016, pp. 163-233.

  PUB | DOI | WoS
   
• [103]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426

  S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Regularized distributions and entropic stability of Cramer's characterization of the normal law”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 126, 2016, pp. 3865-3887.

  PUB | DOI | WoS
   
• [102]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156

  F. Götze, Y.S. Eliseeva, and A.Y. Zaitsev, “Arak's inequalities for concentration functions and the Littlewood-Offord problem”, DOKLADY MATHEMATICS, vol. 93, 2016, pp. 202-206.

  PUB | DOI | WoS
   
• [101]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838

  F. Götze, A. Naumov, and A. Tikhomirov, “ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES”, Acta Physica Polonica B, vol. 46, 2015, : 1737.

  PUB | DOI | WoS
   
• [100]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110

  F. Götze, A.A. Naumov, and A.N. Tikhomirov, “LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 59, 2015, pp. 23-39.

  PUB | DOI | WoS
   
• [99]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095

  F. Götze, A. Naumov, and A. Tikhomirov, “On minimal singular values of random matrices with correlated entries”, RANDOM MATRICES-THEORY AND APPLICATIONS, vol. 4, 2015, : 30.

  PUB | DOI | WoS
   
• [98]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096

  F. Götze, H. Kösters, and A. Tikhomirov, “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”, RANDOM MATRICES-THEORY AND APPLICATIONS, vol. 4, 2015, : 85.

  PUB | DOI | WoS
   
• [97]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385

  V.I. Bernik and F. Götze, “Distribution of real algebraic numbers of arbitrary degree in short intervals”, Izvestiya Mathematics, vol. 79, 2015, pp. 18-39.

  PUB | DOI | WoS
   
• [96]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675

  M. Baake, et al., “Radial spacing distributions from planar point sets”, Acta crystallographica. Section A, Foundations and advances, vol. 70, 2014, pp. 472-482.

  PUB | DOI | WoS | PubMed | Europe PMC
   
• [95]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899

  F. Götze and A.Y. Zaitsev, “EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS”, The Annals of Probability, vol. 42, 2014, pp. 354-397.

  PUB | DOI | WoS
   
• [94]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420

  N.V. Budarina and F. Götze, “Distance between conjugate algebraic numbers in clusters”, Mathematical Notes, vol. 94, 2014, pp. 816-819.

  PUB | DOI | WoS
   
• [93]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611

  F. Götze and M. Venker, “LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES”, The Annals of Probability, vol. 42, 2014, pp. 2207-2242.

  PUB | DOI | WoS
   
• [92]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496

  S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Fisher information and convergence to stable laws”, Bernoulli, vol. 20, 2014, pp. 1620-1646.

  PUB | DOI | WoS
   
• [91]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064

  V. Bernik, F. Götze, and O. Kukso, “On algebraic points in the plane near smooth curves”, Lithuanian Mathematical Journal, vol. 54, 2014, pp. 231-251.

  PUB | DOI | WoS
   
• [90]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735

  S.G. Bobkov, G. Chistyakov, and F. Götze, “Berry-Esseen bounds in the entropic central limit theorem”, Probability Theory and Related Fields, vol. 159, 2014, pp. 435-478.

  PUB | DOI | WoS
   
• [89]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719

  S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Fisher information and the central limit theorem”, Probability Theory and Related Fields, vol. 159, 2014, pp. 1-59.

  PUB | DOI | WoS
   
• [88]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746

  M. Bloznelis and F. Götze, “Preferred Attachment in Affiliation Networks”, Journal of Statistical Physics, vol. 156, 2014, pp. 800-821.

  PUB | DOI | WoS
   
• [87]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355

  D. Kaliada, F. Götze, and O. Kukso, “The asymptotic number of integral cubic polynomials with bounded heights and discriminants”, Lithuanian Mathematical Journal, vol. 54, 2014, pp. 150-165.

  PUB | DOI | WoS
   
• [86]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112

  F. Götze and W.R. Van Zwet, “THE TIMES OF YURI VASILYEVICH PROKHOROV”, Theory Of Probability & Its Applications, vol. 57, 2013, pp. 306-322.

  PUB | DOI | WoS
   
• [85]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752

  S.G. Bobkov, G. Chistyakov, and F. Götze, “Convergence to Stable Laws in Relative Entropy”, Journal Of Theoretical Probability, vol. 26, 2013, pp. 803-818.

  PUB | DOI | WoS
   
• [84]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882

  G. Chistyakov and F. Götze, “Asymptotic expansions in the CLT in free probability”, Probability Theory And Related Fields, vol. 157, 2013, pp. 107-156.

  PUB | DOI | WoS
   
• [83]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178

  S.G. Bobkov, G. Chistyakov, and F. Götze, “STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS”, Theory Of Probability & Its Applications, vol. 57, 2013, pp. 568-588.

  PUB | DOI | WoS
   
• [82]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291

  S.G. Bobkov, G.P. Chistyakov, and F. Götze, “RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM”, The Annals Of Probability, vol. 41, 2013, pp. 2479-2512.

  PUB | DOI | WoS
   
• [81]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214

  M. Bloznelis, F. Götze, and J. Jaworski, “BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH”, Journal of Applied Probability, vol. 49, 2012, pp. 601-611.

  PUB | WoS
   
• [80]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738

  F. Götze and D. Zaporozhets, “ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS”, Theory Of Probability & Its Applications, vol. 56, 2012, pp. 696-U217.

  PUB | DOI | WoS
   
• [79]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956

  S.G. Bobkov, G. Chistyakov, and F. Götze, “Bounds for characteristic functions in terms of quantiles and entropy”, ELECTRONIC COMMUNICATIONS IN PROBABILITY, vol. 17, 2012, pp. 1-9.

  PUB | DOI | WoS
   
• [78]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372

  G. Chistyakov, F. Götze, and F. Lehner, “Freeness of linear and quadratic forms in von Neumann algebras”, Journal of Functional Analysis, vol. 261, 2011, pp. 2829-2844.

  PUB | DOI | WoS
   
• [77]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392

  G. Chistyakov and F. Götze, “The arithmetic of distributions in free probability theory”, Central European Journal of Mathematics, vol. 9, 2011, pp. 997-1050.

  PUB | DOI | WoS
   
• [76]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346

  M. Bloznelis, et al., “VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM”, Lithuanian Mathematical Journal, vol. 50, 2010, pp. 367-371.

  PUB | DOI | WoS
   
• [75]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793

  N. Alexeev, F. Götze, and A. Tikhomirov, “ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 50, 2010, pp. 121-132.

  PUB | DOI | WoS
   
• [74]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477

  S.G. Bobkov, F. Götze, and A.N. Tikhomirov, “On Concentration of Empirical Measures and Convergence to the Semi-circle Law”, JOURNAL OF THEORETICAL PROBABILITY, vol. 23, 2010, pp. 792-823.

  PUB | DOI | WoS
   
• [73]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101

  F. Götze and A. Tikhomirov, “THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 54, 2010, pp. 129-U7.

  PUB | DOI | WoS
   
• [72]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254

  N.V. Alexeev, F. Götze, and A.N. Tikhomirov, “On the Singular Spectrum of Powers and Products of Random Matrices”, DOKLADY MATHEMATICS, vol. 82, 2010, pp. 505-507.

  PUB | DOI | WoS
   
• [71]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544

  F. Götze and A. Tikhomirov, “THE CIRCULAR LAW FOR RANDOM MATRICES”, ANNALS OF PROBABILITY, vol. 38, 2010, pp. 1444-1491.

  PUB | DOI | WoS
   
• [70]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517

  S.G. Bobkov and F. Götze, “Concentration of empirical distribution functions with applications to non-i.i.d. models”, Bernoulli, vol. 16, 2010, pp. 1385-1414.

  PUB | DOI | WoS
   
• [69]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158

  V. Beresnevich, V. Bernik, and F. Götze, “The distribution of close conjugate algebraic numbers”, COMPOSITIO MATHEMATICA, vol. 146, 2010, pp. 1165-1179.

  PUB | DOI | WoS
   
• [68]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382

  F. Götze and A.Y. Zaitsev, “BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 53, 2009, pp. 59-80.

  PUB | DOI | WoS
   
• [67]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216

  F. Götze and H. Kösters, “On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 285, 2009, pp. 1183-1205.

  PUB | DOI | WoS
   
• [66]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665

  G. Chistyakov and F. Götze, “Limit theorems in free probability theory II”, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 6, 2008, pp. 87-117.

  PUB | PDF | DOI | WoS
   
• [65]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941

  V. Bernik, F. Götze, and O. Kukso, “Lower bounds for the number of integral polynomials with given order of discriminants”, ACTA ARITHMETICA, vol. 133, 2008, pp. 375-390.

  PUB | DOI | WoS
   
• [64]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325

  V. Bernik, F. Götze, and O. Kukso, “On the divisibility of the discriminant of an integral polynomial by prime powers”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 48, 2008, pp. 380-396.

  PUB | DOI | WoS
   
• [63]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003

  G. Chistyakov and F. Götze, “Limit theorems in free probability theory I”, ANNALS OF PROBABILITY, vol. 36, 2008, pp. 54-90.

  PUB | DOI | WoS
   
• [62]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843

  F. Götze and M. Gordin, “Limit correlation functions for fixed trace random matrix ensembles”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 281, 2008, pp. 203-229.

  PUB | DOI | WoS
   
• [61]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316

  G. Chistyakov and F. Götze, “Independence of linear forms with random coefficients”, PROBABILITY THEORY AND RELATED FIELDS, vol. 137, 2007, pp. 1-24.

  PUB | DOI | WoS
   
• [60]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660

  F. Götze, A. Tikhomirov, and D.A. Timushev, “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 5, 2007, pp. 305-334.

  PUB | DOI | WoS
   
• [59]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320

  S.G. Bobkov and F. Götze, “Concentration inequalities and limit theorems for randomized sums”, PROBABILITY THEORY AND RELATED FIELDS, vol. 137, 2007, pp. 49-81.

  PUB | DOI | WoS
   
• [58]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582

  S.A. Bogatyrev, F. Götze, and V.V. Ulyanov, “Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space”, JOURNAL OF MULTIVARIATE ANALYSIS, vol. 97, 2006, pp. 2041-2056.

  PUB | DOI | WoS
   
• [57]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422

  F. Götze and A.N. Tikhomirov, “Limit theorems for spectra of random matrices with martingale structure”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 51, 2006, pp. 42-64.

  PUB | DOI | WoS
   
• [56]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155

  F. Götze and A.N. Tikhomirov, “Asymptotic expansions in non-central limit theorems for quadratic forms”, JOURNAL OF THEORETICAL PROBABILITY, vol. 18, 2005, pp. 757-811.

  PUB | DOI | WoS
   
• [55]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986

  E. Gine and F. Götze, “On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors”, ELECTRONIC COMMUNICATIONS IN PROBABILITY, vol. 9, 2004, pp. 162-171.

  PUB | DOI | WoS
   
• [54]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044

  F. Götze and A. Tikhomirov, “Rate of convergence in probability to the Marchenko-Pastur law”, BERNOULLI, vol. 10, 2004, pp. 503-548.

  PUB | DOI | WoS
   
• [53]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107

  F. Götze and M. Gordin, “Limiting distributions of theta series on Siegel half-spaces”, St. Petersburg mathematical journal, vol. 15, 2004, pp. 81-102.

  PUB
   
• [52]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103

  G. Chistyakov and F. Götze, “Distribution of the shape of Markovian random words”, PROBABILITY THEORY AND RELATED FIELDS, vol. 129, 2004, pp. 18-36.

  PUB | DOI | WoS
   
• [51]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262

  G. Chistyakov and F. Götze, “Limit distributions of studentized means”, ANNALS OF PROBABILITY, vol. 32, 2004, pp. 28-77.

  PUB | WoS
   
• [50]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761

  F. Götze, “Lattice point problems and values of quadratic forms”, INVENTIONES MATHEMATICAE, vol. 157, 2004, pp. 195-226.

  PUB | DOI | WoS
   
• [49]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373

  G. Chistyakov and F. Götze, “On bounds for moderate deviations for student's statistic”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 48, 2003, pp. 528-535.

  PUB | DOI | WoS
   
• [48]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739

  F. Götze and A. Tikhomirov, “Rate of convergence to the semi-circular law”, PROBABILITY THEORY AND RELATED FIELDS, vol. 127, 2003, pp. 228-276.

  PUB | DOI | WoS
   
• [47]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272

  S.G. Bobkov and F. Götze, “On the central limit theorem along subsequences of noncorrelated observations”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 48, 2003, pp. 604-621.

  PUB | DOI | WoS
   
• [46]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604

  F. Götze and A. Tikhomirov, “Asymptotic distribution of quadratic forms and applications”, JOURNAL OF THEORETICAL PROBABILITY, vol. 15, 2002, pp. 423-475.

  PUB | DOI | WoS
   
• [45]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886

  M. Bloznelis and F. Götze, “An Edgeworth expansion for symmetric finite population statistics”, ANNALS OF PROBABILITY, vol. 30, 2002, pp. 1238-1265.

  PUB | WoS
   
• [44]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095

  G. Chistyakov and F. Götze, “Moderate deviations for student's statistic”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 47, 2002, pp. 415-428.

  PUB | DOI | WoS
   
• [43]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874

  F. Götze and A.N. Tikhomirov, “Rate of convergence to the semicircular law for the Gaussian unitary ensemble”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 47, 2002, pp. 323-330.

  PUB | WoS
   
• [42]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478

  V. Bentkus and F. Götze, “Lattice points in multidimensional bodies”, FORUM MATHEMATICUM, vol. 13, 2001, pp. 149-225.

  PUB | DOI | WoS
   
• [41]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879

  S.G. Bobkov, F. Götze, and C. Houdre, “On Gaussian and Bernoulli covariance representations”, BERNOULLI, vol. 7, 2001, pp. 439-451.

  PUB | DOI | WoS
   
• [40]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952

  M. Bloznelis and F. Götze, “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”, ANNALS OF STATISTICS, vol. 29, 2001, pp. 899-917.

  PUB | WoS
   
• [39]
  

  2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181

  M. Bloznelis and F. Götze, “An edgeworth expansion for finite-population U-statistics”, BERNOULLI, vol. 6, 2000, pp. 729-760.

  PUB | DOI | WoS
   
• [38]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548

  S.G. Bobkov and F. Götze, “Discrete isoperimetric and Poincare-type inequalities”, PROBABILITY THEORY AND RELATED FIELDS, vol. 114, 1999, pp. 245-277.

  PUB | DOI | WoS
   
• [37]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558

  V. Bentkus and F. Götze, “Lattice point problems and distribution of values of quadratic forms”, ANNALS OF MATHEMATICS, vol. 150, 1999, pp. 977-1027.

  PUB | DOI | WoS
   
• [36]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192

  M. Bloznelis and F. Götze, “One-term Edgeworth expansion for finite population U-statistics of degree two”, ACTA APPLICANDAE MATHEMATICAE, vol. 58, 1999, pp. 75-90.

  PUB | DOI | WoS
   
• [35]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221

  V. Bentkus and F. Götze, “Optimal bounds in non-Gaussian limit theorems for U-statistics”, ANNALS OF PROBABILITY, vol. 27, 1999, pp. 454-521.

  PUB | DOI | WoS
   
• [34]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247

  S.G. Bobkov and F. Götze, “Exponential integrability and transportation cost related to logarithmic sobolev inequalities”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 163, 1999, pp. 1-28.

  PUB | DOI | WoS
   
• [33]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394

  F. Götze and A.N. Tikhomirov, “Asymptotic distribution of quadratic forms”, ANNALS OF PROBABILITY, vol. 27, 1999, pp. 1072-1098.

  PUB | WoS
   
• [32]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331

  V. Bentkus, F. Götze, and A.Y. Zaitsev, “Approximation of quadratic forms of independent random vectors by accompanying laws”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 189-212.

  PUB | DOI | WoS
   
• [31]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472

  F. Götze, Y.V. Prokhorov, and V.V. Ulyanov, “On smooth behavior of probability distributions under polynomial mappings”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 28-38.

  PUB | DOI | WoS
   
• [30]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190

  F. Götze and A.Y. Zaitsev, “Estimates for the rapid decay of concentration functions of n-fold convolutions”, JOURNAL OF THEORETICAL PROBABILITY, vol. 11, 1998, pp. 715-731.

  PUB | DOI | WoS
   
• [29]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531

  S.G. Bobkov and F. Götze, “On moments of polynomials”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 518-A520.

  PUB | DOI | WoS
   
• [28]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483

  F. Götze, “Lattice point problems and the central limit theorem in Euclidean spaces”, Documenta Mathematica, vol. 1998, 1998, pp. 245-255.

  PUB
   
• [27]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278

  F. Götze, “Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"”, Documenta Mathematica, vol. 1998, 1998, pp. 648.

  PUB
   
• [26]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480

  V. Bentkus, F. Götze, and A. Tikhomirov, “Berry-Esseen bounds for statistics of weakly dependent samples”, BERNOULLI, vol. 3, 1997, pp. 329-349.

  PUB | DOI | WoS
   
• [25]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616

  V. Bentkus, M. Bloznelis, and F. Götze, “A Berry-Esseen bound for M-estimators”, SCANDINAVIAN JOURNAL OF STATISTICS, vol. 24, 1997, pp. 485-502.

  PUB | DOI | WoS
   
• [24]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698

  V. Bentkus and F. Götze, “Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces”, PROBABILITY THEORY AND RELATED FIELDS, vol. 109, 1997, pp. 367-416.

  PUB | DOI | WoS
   
• [23]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842

  V. Bentkus and F. Götze, “On the lattice point problem for ellipsoids”, ACTA ARITHMETICA, vol. 80, 1997, pp. 101-125.

  PUB | WoS
   
• [22]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466

  E. Gine, F. Götze, and D.M. Mason, “When is the student t-statistic asymptotically standard normal?”, ANNALS OF PROBABILITY, vol. 25, 1997, pp. 1514-1531.

  PUB | WoS
   
• [21]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025

  P.J. Bickel, F. Götze, and W.R. vanZwet, “Resampling fewer than n observations: Gains, losses, and remedies for losses”, STATISTICA SINICA, vol. 7, 1997, pp. 1-31.

  PUB | WoS
   
• [20]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340

  V. Bentkus, F. Götze, and W.R. van Zwet, “An Edgeworth expansion for symmetric statistics”, ANNALS OF STATISTICS, vol. 25, 1997, pp. 851-896.

  PUB | WoS
   
• [19]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303

  V. Bentkus and F. Götze, “On minimal moment assumptions in Berry-Esseen theorems for U-statistics”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 40, 1996, pp. 430-445.

  PUB | DOI | WoS
   
• [18]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391

  F. Götze, Y.V. Prokhorov, and V.V. Ulyanov, “Bounds for characteristic functions of polynomials in asymptotically normal random variables”, RUSSIAN MATHEMATICAL SURVEYS, vol. 51, 1996, pp. 181-204.

  PUB | DOI | WoS
   
• [17]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739

  V. Bentkus, M. Bloznelis, and F. Götze, “A Berry-Esseen bound for student's statistic in the non-iid case”, JOURNAL OF THEORETICAL PROBABILITY, vol. 9, 1996, pp. 765-796.

  PUB | DOI | WoS
   
• [16]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275

  V. Bentkus, F. Götze, and V. Paulauskas, “Bounds for the accuracy of Poissonian approximations of stable laws”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 65, 1996, pp. 55-68.

  PUB | DOI | WoS
   
• [15]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184

  F. Götze and H.R. Kunsch, “Second-order correctness of the blockwise bootstrap for stationary observations”, ANNALS OF STATISTICS, vol. 24, 1996, pp. 1914-1933.

  PUB | WoS
   
• [14]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950

  V. Bentkus and F. Götze, “The Berry-Esseen bound for student's statistic”, ANNALS OF PROBABILITY, vol. 24, 1996, pp. 491-503.

  PUB | WoS
   
• [13]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947

  V. Bentkus and F. Götze, “Optimal rates of convergence in the CLT for quadratic forms”, ANNALS OF PROBABILITY, vol. 24, 1996, pp. 466-490.

  PUB | WoS
   
• [12]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785

  F. Götze, L. Heinrich, and C. Hipp, “M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION”, SCANDINAVIAN JOURNAL OF STATISTICS, vol. 22, 1995, pp. 183-195.

  PUB | WoS
   
• [11]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293

  V. Bentkus and F. Götze, “ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS”, DOKLADY AKADEMII NAUK, vol. 343, 1995, pp. 439-440.

  PUB | WoS
   
• [10]
  

  1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122

  F. Götze and C. Hipp, “ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES”, ANNALS OF STATISTICS, vol. 22, 1994, pp. 2062-2088.

  PUB | DOI | WoS
   
• [9]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467

  V. Bentkus and F. Götze, “ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES”, PROBABILITY THEORY AND RELATED FIELDS, vol. 96, 1993, pp. 137-151.

  PUB | DOI | WoS
   
• [8]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732

  E. Bolthausen and F. Götze, “THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS”, ANNALS OF STATISTICS, vol. 21, 1993, pp. 1692-1710.

  PUB | DOI | WoS
   
• [7]
  

  1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810

  F. Götze, “ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT”, ANNALS OF PROBABILITY, vol. 19, 1991, pp. 724-739.

  PUB | DOI | WoS
   
• [6]
  

  1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279

  F. Götze and C. Hipp, “LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD”, ANNALS OF PROBABILITY, vol. 18, 1990, pp. 810-828.

  PUB | DOI | WoS
   
• [5]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233

  F. Götze, “EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS”, ANNALS OF PROBABILITY, vol. 17, 1989, pp. 1602-1634.

  PUB | DOI | WoS
   
• [4]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749

  F. Götze and C. HIPP, “ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS”, PROBABILITY THEORY AND RELATED FIELDS, vol. 82, 1989, pp. 349-370.

  PUB | DOI | WoS
   
• [3]
  

  1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159

  F. Götze, “APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS”, JOURNAL OF MULTIVARIATE ANALYSIS, vol. 22, 1987, pp. 212-229.

  PUB | DOI | WoS
   
• [2]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485

  F. Götze, “ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES”, ANNALS OF PROBABILITY, vol. 14, 1986, pp. 922-942.

  PUB | DOI | WoS
   
• [1]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885

  P.J. Bickel, F. Götze, and W.R. Vanzwet, “THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2”, ANNALS OF STATISTICS, vol. 14, 1986, pp. 1463-1484.

  PUB | DOI | WoS