PUB - Publikationen an der Universität Bielefeld

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• [151]
  

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

  Bobkov, S. G., & Götze, F. (2025). Berry-Esseen bounds in the local limit theorems. Lithuanian Mathematical Journal . https://doi.org/10.1007/s10986-025-09659-1

  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. https://doi.org/10.1016/j.jfa.2024.110493

  PUB | DOI | WoS
   
• [149]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990002

  Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2024). Strictly subgaussian probability distributions. Electronic Journal of Probability , 29, 62. https://doi.org/10.1214/24-EJP1120

  PUB | DOI | WoS
   
• [148]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2981953

  Bobkov, S. G. G., Chistyakov, G., & Götze, F. (2023). Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal, 63(2), 138–160. https://doi.org/10.1007/s10986-023-09598-9

  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. https://doi.org/10.1214/23-EJP919

  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. https://doi.org/10.1214/23-EJP966

  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. https://doi.org/10.1007/s00222-021-01086-6

  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 . https://doi.org/10.1007/s00440-022-01144-x

  PUB | PDF | DOI | WoS
   
• [143]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210

  Götze, F., & Zaitsev, A. Y. (2022). A New Bound in the Littlewood–Offord Problem. Mathematics, 10(10), 1740. https://doi.org/10.3390/math10101740

  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. https://doi.org/10.1137/S0040585X97T99071X

  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. https://doi.org/10.1137/S0040585X97T990666

  PUB | DOI | WoS
   
• [140]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962433

  Götze, F., Timushev, D. A., & Tikhomirov, A. N. (2021). Local Marchenko-Pastur Law for Sparse Rectangular Random Matrices. Doklady Mathematics, 104(3), 332-335. https://doi.org/10.1134/S1064562421060065

  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. https://doi.org/10.1214/21-AOS2060

  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. https://doi.org/10.1214/21-ECP398

  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. https://doi.org/10.1142/S201032632150026X

  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. https://doi.org/10.1214/21-EJP606

  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. https://doi.org/10.1007/s10959-020-01016-x

  PUB | PDF | DOI | WoS
   
• [134]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950253

  Bobkov, S. G., Chistyakov, G., & Götze, F. (2020). Poincare inequalities and normal approximation for weighted sums. Electronic Journal of Probability, 25, 155. doi:10.1214/20-EJP549

  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. doi:10.1142/S2010326321500040

  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. doi:10.1016/j.jnt.2020.02.012

  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. doi:10.1007/s10959-019-00907-y

  PUB | DOI | WoS
   
• [130]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945466

  Götze, F., Naumov, A. A., & Tikhomirov, A. N. (2020). MOMENT INEQUALITIES FOR LINEAR AND NONLINEAR STATISTICS. THEORY OF PROBABILITY AND ITS APPLICATIONS, 65(1), 1-16. doi:10.1137/S0040585X97T989787

  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. doi:10.1137/S0040585X97T989866

  PUB | DOI | WoS
   
• [128]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944785

  Bobkov, S. G., Chistyakov, G., & Götze, F. (2020). NORMAL APPROXIMATION FOR WEIGHTED SUMS UNDER A SECOND-ORDER CORRELATION CONDITION. ANNALS OF PROBABILITY, 48(3), 1202-1219. doi:10.1214/19-AOP1388

  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. https://doi.org/10.1017/jpr.2019.4

  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. doi:10.3150/18-BEJ1062

  PUB | DOI | WoS | arXiv
   
• [124]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874

  Bobkov, S. C., Götze, F., & Sambale, H. (2019). Higher order concentration of measure. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 21(3), 1850043. doi:10.1142/S0219199718500438

  PUB | DOI | WoS
   
• [123]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941909

  Bobkov, S. G., Chistyakov, G., & Götze, F. (2019). Nonuniform bounds in the Poisson approximation with applications to informational distances. II. LITHUANIAN MATHEMATICAL JOURNAL, 59(4), 469-497. doi:10.1007/s10986-019-09468-3

  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. doi:10.1214/19-EJP338

  PUB | DOI | WoS
   
• [121]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338

  Bobkov, S. G., 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. doi:10.1109/TIT.2019.2913313

  PUB | DOI | WoS
   
• [120]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036

  Götze, F., Naumov, A. A., & Tikhomirov, A. N. (2019). On Optimal Bounds in the Local Semicircle Law under Four Moment Condition. DOKLADY MATHEMATICS, 99(1), 40-43. doi:10.1134/S1064562419010125

  PUB | DOI | WoS
   
• [119]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956

  Bobkov, S. G., Chistyakov, G., & Götze, F. (2019). RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM. ANNALS OF PROBABILITY, 47(1), 270-323. doi:10.1214/18-AOP1261

  PUB | DOI | WoS
   
• [118]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538

  Bobkov, S. G., Chistyakov, G., & Götze, F. (2018). Berry-Esseen bounds for typical weighted sums. Electronic Journal of Probability, 23, 92. doi:10.1214/18-EJP195

  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. doi:10.3150/17-BEJ931

  PUB | DOI | WoS
   
• [116]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353

  Götze, F., Naumov, A. A., & Tikhomirov, A. N. (2018). LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION. THEORY OF PROBABILITY AND ITS APPLICATIONS, 62(1), 58-83. doi:10.1137/S0040585X97T988496

  PUB | DOI | WoS
   
• [115]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708

  Götze, F., Eliseeva, Y. S., & Zaitsev, A. Y. (2018). ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM. THEORY OF PROBABILITY AND ITS APPLICATIONS, 62(2), 196-215. doi:10.1137/S0040585X97T988563

  PUB | DOI | WoS
   
• [114]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354

  Prokhorov, Y. V., Götze, F., & Ulyanov, V. V. (2018). ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES. THEORY OF PROBABILITY AND ITS APPLICATIONS, 62(1), 98-116. doi:10.1137/S0040585X97T988514

  PUB | DOI | WoS
   
• [113]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279

  Götze, F., & Zaitsev, A. Y. (2018). New applications of Arak's inequalities to the Littlewood-Offord problem. EUROPEAN JOURNAL OF MATHEMATICS, 4(2), 639-663. doi:10.1007/s40879-018-0215-3

  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. doi:10.3150/16-BEJ837

  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. doi:10.4064/aa8333-2-2017

  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. doi:10.1007/s10986-017-9361-4

  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. doi:10.1007/s10959-016-0679-3

  PUB | DOI | WoS
   
• [108]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145

  Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2017). Second-order concentration on the sphere. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 19(5), 1650058. doi:10.1142/S0219199716500589

  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. doi:10.1090/proc/13208

  PUB | DOI | WoS
   
• [106]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051

  Götze, F., Naumov, A. A., & Tikhomirov, A. N. (2017). Local Laws for Non-Hermitian Random Matrices. DOKLADY MATHEMATICS, 96(3), 558-560. doi:10.1134/S1064562417060072

  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. doi:10.1016/j.aim.2016.04.022

  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. doi:10.1007/s00440-015-0629-5

  PUB | DOI | WoS
   
• [103]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426

  Bobkov, S. G., Chistyakov, G. P., & 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. doi:10.1016/j.spa.2016.04.010

  PUB | DOI | WoS
   
• [102]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156

  Götze, F., Eliseeva, Y. S., & Zaitsev, A. Y. (2016). Arak's inequalities for concentration functions and the Littlewood-Offord problem. DOKLADY MATHEMATICS, 93(2), 202-206. doi:10.1134/S1064562416020241

  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. doi:10.5506/APhysPolB.46.1737

  PUB | DOI | WoS
   
• [100]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110

  Götze, F., Naumov, A. A., & Tikhomirov, A. N. (2015). LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES. THEORY OF PROBABILITY AND ITS APPLICATIONS, 59(1), 23-39. doi:10.1137/S0040585X97986916

  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. doi:10.1142/S2010326315500069

  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. doi:10.1142/S2010326315500057

  PUB | DOI | WoS
   
• [97]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385

  Bernik, V. I., & Götze, F. (2015). Distribution of real algebraic numbers of arbitrary degree in short intervals. Izvestiya Mathematics, 79(1), 18-39. doi:10.1070/IM2015v079n01ABEH002732

  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. doi:10.1107/S2053273314011140

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

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899

  Götze, F., & Zaitsev, A. Y. (2014). EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS. The Annals of Probability, 42(1), 354-397. doi:10.1214/13-AOP839

  PUB | DOI | WoS
   
• [94]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420

  Budarina, N. V., & Götze, F. (2014). Distance between conjugate algebraic numbers in clusters. Mathematical Notes, 94(5-6), 816-819. doi:10.1134/S0001434613110151

  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. doi:10.1214/13-AOP844

  PUB | DOI | WoS
   
• [92]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496

  Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2014). Fisher information and convergence to stable laws. Bernoulli, 20(3), 1620-1646. doi:10.3150/13-BEJ535

  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. doi:10.1007/s10986-014-9241-0

  PUB | DOI | WoS
   
• [90]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735

  Bobkov, S. G., Chistyakov, G., & Götze, F. (2014). Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields, 159(3-4), 435-478. doi:10.1007/s00440-013-0510-3

  PUB | DOI | WoS
   
• [89]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719

  Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2014). Fisher information and the central limit theorem. Probability Theory and Related Fields, 159(1-2), 1-59. doi:10.1007/s00440-013-0500-5

  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. doi:10.1007/s10955-014-1033-8

  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. doi:10.1007/s10986-014-9234-z

  PUB | DOI | WoS
   
• [86]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112

  Götze, F., & Van Zwet, W. R. (2013). THE TIMES OF YURI VASILYEVICH PROKHOROV. Theory Of Probability & Its Applications, 57(2), 306-322. doi:10.1137/S0040585X97985972

  PUB | DOI | WoS
   
• [85]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752

  Bobkov, S. G., Chistyakov, G., & Götze, F. (2013). Convergence to Stable Laws in Relative Entropy. Journal Of Theoretical Probability, 26(3), 803-818. doi:10.1007/s10959-011-0377-0

  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. doi:10.1007/s00440-012-0451-2

  PUB | DOI | WoS
   
• [83]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178

  Bobkov, S. G., 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. https://doi.org/10.1137/S0040585X97986217

  PUB | DOI | WoS
   
• [82]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291

  Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2013). RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM. The Annals Of Probability, 41(4), 2479-2512. doi:10.1214/12-AOP780

  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. doi:10.1137/S0040585X9798573X

  PUB | DOI | WoS
   
• [79]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956

  Bobkov, S. G., Chistyakov, G., & Götze, F. (2012). Bounds for characteristic functions in terms of quantiles and entropy. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 17, 1-9. doi:10.1214/ECP.v17-2053

  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. https://doi.org/10.1016/j.jfa.2011.07.012

  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. https://doi.org/10.2478/s11533-011-0049-4

  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. https://doi.org/10.1007/s10986-010-9092-2

  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. https://doi.org/10.1007/s10986-010-9074-4

  PUB | DOI | WoS
   
• [74]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477

  Bobkov, S. G., Götze, F., & Tikhomirov, A. N. (2010). On Concentration of Empirical Measures and Convergence to the Semi-circle Law. JOURNAL OF THEORETICAL PROBABILITY, 23(3), 792-823. https://doi.org/10.1007/s10959-010-0286-7

  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. https://doi.org/10.1137/S0040585X97983985

  PUB | DOI | WoS
   
• [72]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254

  Alexeev, N. V., Götze, F., & Tikhomirov, A. N. (2010). On the Singular Spectrum of Powers and Products of Random Matrices. DOKLADY MATHEMATICS, 82(1), 505-507. https://doi.org/10.1134/S1064562410040010

  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. https://doi.org/10.1214/09.AOP522

  PUB | DOI | WoS
   
• [70]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517

  Bobkov, S. G., & Götze, F. (2010). Concentration of empirical distribution functions with applications to non-i.i.d. models. Bernoulli, 16(4), 1385-1414. https://doi.org/10.3150/10-BEJ254

  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. https://doi.org/10.1112/S0010437X10004860

  PUB | DOI | WoS
   
• [68]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382

  Götze, F., & Zaitsev, A. Y. (2009). BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE. THEORY OF PROBABILITY AND ITS APPLICATIONS, 53(1), 59-80. https://doi.org/10.1137/S0040585X9798350X

  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. https://doi.org/10.1007/s00220-008-0544-z

  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. https://doi.org/10.2478/s11533-008-0006-z

  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. https://doi.org/10.4064/aa133-4-6

  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. https://doi.org/10.1007/s10986-008-9025-5

  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. https://doi.org/10.1214/009117907000000051

  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. https://doi.org/10.1007/s00220-008-0484-7

  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. https://doi.org/10.1007/s00440-006-0503-6

  PUB | DOI | WoS
   
• [60]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660

  Götze, F., Tikhomirov, A., & Timushev, D. A. (2007). Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 5(2), 305-334. https://doi.org/10.2478/s11533-007-0006-4

  PUB | DOI | WoS
   
• [59]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320

  Bobkov, S. G., & Götze, F. (2007). Concentration inequalities and limit theorems for randomized sums. PROBABILITY THEORY AND RELATED FIELDS, 137(1-2), 49-81. https://doi.org/10.1007/s00440-006-0500-9

  PUB | DOI | WoS
   
• [58]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582

  Bogatyrev, S. A., Götze, F., & Ulyanov, V. V. (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. https://doi.org/10.1016/j.jmva.2006.01.010

  PUB | DOI | WoS
   
• [57]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422

  Götze, F., & Tikhomirov, A. N. (2006). Limit theorems for spectra of random matrices with martingale structure. THEORY OF PROBABILITY AND ITS APPLICATIONS, 51(1), 42-64. https://doi.org/10.1137/S0040585X97982268

  PUB | DOI | WoS
   
• [56]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155

  Götze, F., & Tikhomirov, A. N. (2005). Asymptotic expansions in non-central limit theorems for quadratic forms. JOURNAL OF THEORETICAL PROBABILITY, 18(4), 757-811. https://doi.org/10.1007/s10959-005-7525-3

  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. https://doi.org/10.1214/ECP.v9-1120

  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. https://doi.org/10.3150/bj/1089206408

  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. https://doi.org/10.1007/s00440-003-0327-6

  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. https://doi.org/10.1007/s00222-004-0366-3

  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. https://doi.org/10.1137/S0040585X97980610

  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. https://doi.org/10.1007/s00440-003-0285-z

  PUB | DOI | WoS
   
• [47]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272

  Bobkov, S. G., & Götze, F. (2003). On the central limit theorem along subsequences of noncorrelated observations. THEORY OF PROBABILITY AND ITS APPLICATIONS, 48(4), 604-621. https://doi.org/10.1137/S0040585X97980737

  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. https://doi.org/10.1023/A:1014867011101

  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. https://doi.org/10.1137/S0040585X97979846

  PUB | DOI | WoS
   
• [43]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874

  Götze, F., & Tikhomirov, A. N. (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. https://doi.org/10.1515/form.2001.004

  PUB | DOI | WoS
   
• [41]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879

  Bobkov, S. G., Götze, F., & Houdre, C. (2001). On Gaussian and Bernoulli covariance representations. BERNOULLI, 7(3), 439-451. https://doi.org/10.2307/3318495

  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. https://doi.org/10.2307/3318517

  PUB | DOI | WoS
   
• [38]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548

  Bobkov, S. G., & Götze, F. (1999). Discrete isoperimetric and Poincare-type inequalities. PROBABILITY THEORY AND RELATED FIELDS, 114(2), 245-277. https://doi.org/10.1007/s004400050225

  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. https://doi.org/10.2307/121060

  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. https://doi.org/10.1023/A:1006317230342

  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. https://doi.org/10.1214/aop/1022677269

  PUB | DOI | WoS
   
• [34]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247

  Bobkov, S. G., & Götze, F. (1999). Exponential integrability and transportation cost related to logarithmic sobolev inequalities. JOURNAL OF FUNCTIONAL ANALYSIS, 163(1), 1-28. https://doi.org/10.1006/jfan.1998.3326

  PUB | DOI | WoS
   
• [33]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394

  Götze, F., & Tikhomirov, A. N. (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, A. Y. (1998). Approximation of quadratic forms of independent random vectors by accompanying laws. THEORY OF PROBABILITY AND ITS APPLICATIONS, 42(2), 189-212. https://doi.org/10.1137/S0040585X97976131

  PUB | DOI | WoS
   
• [31]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472

  Götze, F., Prokhorov, Y. V., & Ulyanov, V. V. (1998). On smooth behavior of probability distributions under polynomial mappings. THEORY OF PROBABILITY AND ITS APPLICATIONS, 42(1), 28-38. https://doi.org/10.1137/S0040585X97975927

  PUB | DOI | WoS
   
• [30]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190

  Götze, F., & Zaitsev, A. Y. (1998). Estimates for the rapid decay of concentration functions of n-fold convolutions. JOURNAL OF THEORETICAL PROBABILITY, 11(3), 715-731. https://doi.org/10.1023/A:1022654631571

  PUB | DOI | WoS
   
• [29]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531

  Bobkov, S. G., & Götze, F. (1998). On moments of polynomials. THEORY OF PROBABILITY AND ITS APPLICATIONS, 42(3), 518-A520. https://doi.org/10.1137/S0040585X97976386

  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. https://doi.org/10.2307/3318596

  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. https://doi.org/10.1111/1467-9469.00076

  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. https://doi.org/10.1007/s004400050136

  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, D. M. (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, P. J., Götze, F., & vanZwet, W. R. (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, W. R. (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. https://doi.org/10.1137/1140048

  PUB | DOI | WoS
   
• [18]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391

  Götze, F., Prokhorov, Y. V., & Ulyanov, V. V. (1996). Bounds for characteristic functions of polynomials in asymptotically normal random variables. RUSSIAN MATHEMATICAL SURVEYS, 51(2), 181-204. https://doi.org/10.1070/RM1996v051n02ABEH002771

  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. https://doi.org/10.1007/BF02214086

  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. https://doi.org/10.1016/S0304-4149(96)00101-9

  PUB | DOI | WoS
   
• [15]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184

  Götze, F., & Kunsch, H. R. (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. https://doi.org/10.1214/aos/1176325772

  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. https://doi.org/10.1007/BF01192130

  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. https://doi.org/10.1214/aos/1176349393

  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. https://doi.org/10.1214/aop/1176990448

  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. https://doi.org/10.1214/aop/1176990859

  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. https://doi.org/10.1214/aop/1176991176

  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. https://doi.org/10.1007/BF00339992

  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. https://doi.org/10.1016/0047-259X(87)90086-8

  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. https://doi.org/10.1214/aop/1176992448

  PUB | DOI | WoS
   
• [1]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885

  Bickel, P. J., Götze, F., & Vanzwet, W. R. (1986). THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2. ANNALS OF STATISTICS, 14(4), 1463-1484. https://doi.org/10.1214/aos/1176350170

  PUB | DOI | WoS