Friedrich Götze

PEVZ-ID
10518

151 Publikationen

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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 . Springer. doi: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. Elsevier . doi: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. Institute of Mathematical Statistics . doi:10.1214/24-EJP1120.
    PUB | DOI | WoS
     
  • [148]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2981953 OA
    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. Springer. doi: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. Institute of Mathematical Statistics . doi: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. Institute of Mathematical Statistics. doi:10.1214/23-EJP966.
    PUB | DOI | WoS
     
  • [145]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2961330 OA
    Buterus, P., Götze, F., Hille, T. & Margulis, G. (2022). Distribution of values of quadratic forms at integral points. Inventiones Mathematicae , 227. Springer . doi:10.1007/s00222-021-01086-6.
    PUB | PDF | DOI | WoS
     
  • [144]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2964051 OA
    Bloznelis, M. & Götze, F. (2022). Edgeworth approximations for distributions of symmetric statistics. Probability Theory and Related Fields, 183, 1153–1235 . Springer . doi:10.1007/s00440-022-01144-x.
    PUB | PDF | DOI | WoS
     
  • [143]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210 OA
    Götze, F. & Zaitsev, A.Y. (2022). A New Bound in the Littlewood–Offord Problem. Mathematics, 10(10): 1740. MDPI. doi: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. Society for Industrial and Applied Mathematics . doi: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. Society for Industrial and Applied Mathematics. doi: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. Springer. doi: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. Institute of Mathematical Statistics. doi: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. Institute of Mathematical Statistics (IMS). doi: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. World Scientific . doi: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. Institute of Mathematical Statistics (IMS). doi:10.1214/21-EJP606.
    PUB | DOI | WoS
     
  • [135]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2944514 OA
    Götze, F., Sambale, H. & Sinulis, A. (2020). Concentration Inequalities for Bounded Functionals via Log-Sobolev-Type Inequalities. JOURNAL OF THEORETICAL PROBABILITY. Springer/plenum Publishers. doi: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. Univ Washington, Dept Mathematics. 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. World Scientific. 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. Elsevier. 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. Springer/plenum Publishers. 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. Siam Publications. 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. Siam Publications. 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. Inst Mathematical Statistics. 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. Cambridge University Press (CUP). doi: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. International Statistical Institute. 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. World Scientific Publ Co Pte Ltd. 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. Springer. 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. Univ Washington, Dept Mathematics. 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. IEEE. 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. Maik Nauka/interperiodica/springer. 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. INST MATHEMATICAL STATISTICS. 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. Univ Washington, Dept Mathematics. 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. Int Statistical Inst. 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. Gehalten auf der International Conference on Probability and Statistics, Siam Publications. 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. Siam Publications. 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. Gehalten auf der International Conference on Probability and Statistics, Siam Publications. 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. Springer International Publishing AG. 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. Inst. of Mathematical Statistics. 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. Polish Acad Sciences Inst Mathematics-impan. 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. Springer. 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. Springer/Plenum Publishers. 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. World Scientific Publ Co Pte Ltd. 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. Amer Mathematical Soc. 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. Maik Nauka/interperiodica/springer. 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. Academic Press Inc Elsevier Science. 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. Springer Heidelberg. 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. Elsevier Science BV. 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. Maik Nauka/interperiodica/Springer. 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. Acta Physica Polonica B Editorial Office. 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. Siam Publications. 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. World Sci Publ Co Inc. 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. World Sci Publ Co Inc. 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. Turpion. 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. Wiley-Blackwell. 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. Institute Of Mathematical Statistics. 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. Pleiades Publishing. 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. Institute Of Mathematical Statistics. 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. Bernoulli Society For Mathematical Statistics And Probability. 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. Springer-Verlag. 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. Springer-Verlag. 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. Springer-Verlag. 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. Springer-Verlag. 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. Springer-Verlag. doi:10.1007/s10986-014-9234-z.
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    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. Society For Industrial And Applied Mathematics. doi:10.1137/S0040585X97985972.
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    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. Springer-Verlag. doi:10.1007/s10959-011-0377-0.
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    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. Springer-Verlag. doi:10.1007/s00440-012-0451-2.
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    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. Society For Industrial And Applied Mathematics. doi:10.1137/S0040585X97986217.
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    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. Institute Of Mathematical Statistics. 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. Applied Probability Trust.
    PUB | WoS
     
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    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. Society For Industrial And Applied Mathematics. doi:10.1137/S0040585X9798573X.
    PUB | DOI | WoS
     
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    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. UNIV WASHINGTON, DEPT MATHEMATICS. doi:10.1214/ECP.v17-2053.
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  • [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. Elsevier. doi:10.1016/j.jfa.2011.07.012.
    PUB | DOI | WoS
     
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    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. Versita (Central European Science Journals). doi:10.2478/s11533-011-0049-4.
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    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. Springer-Verlag. doi: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. SPRINGER. doi: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. SPRINGER/PLENUM PUBLISHERS. doi: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. SIAM PUBLICATIONS. doi: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. MAIK NAUKA/INTERPERIODICA/SPRINGER. doi: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. INST MATHEMATICAL STATISTICS. doi:10.1214/09.AOP522.
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  • [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. Bernoulli Society for Mathematical Statistics and Probability. doi:10.3150/10-BEJ254.
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  • [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. LONDON MATH SOC. doi:10.1112/S0010437X10004860.
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  • [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. SIAM PUBLICATIONS. doi: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. SPRINGER. doi:10.1007/s00220-008-0544-z.
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  • [66]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665 OA
    Chistyakov, G. & Götze, F. (2008). Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 6(1), 87-117. VERSITA. doi:10.2478/s11533-008-0006-z.
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  • [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. POLISH ACAD SCIENCES INST MATHEMATICS. doi:10.4064/aa133-4-6.
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  • [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. SPRINGER. doi:10.1007/s10986-008-9025-5.
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    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. INST MATHEMATICAL STATISTICS. doi:10.1214/009117907000000051.
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  • [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. SPRINGER. doi:10.1007/s00220-008-0484-7.
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    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. SPRINGER. doi:10.1007/s00440-006-0503-6.
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    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. VERSITA. doi:10.2478/s11533-007-0006-4.
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    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. SPRINGER. doi:10.1007/s00440-006-0500-9.
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  • [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. ELSEVIER INC. doi:10.1016/j.jmva.2006.01.010.
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    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. SIAM PUBLICATIONS. doi:10.1137/S0040585X97982268.
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    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. SPRINGER/PLENUM PUBLISHERS. doi:10.1007/s10959-005-7525-3.
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    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. UNIV WASHINGTON, DEPT MATHEMATICS. doi:10.1214/ECP.v9-1120.
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    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. INT STATISTICAL INST. doi:10.3150/bj/1089206408.
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    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. American Mathematical Society.
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    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. SPRINGER-VERLAG. doi:10.1007/s00440-003-0327-6.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
    Chistyakov, G. & Götze, F. (2004). Limit distributions of studentized means. ANNALS OF PROBABILITY, 32(1A), 28-77. INST MATHEMATICAL STATISTICS.
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    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
    Götze, F. (2004). Lattice point problems and values of quadratic forms. INVENTIONES MATHEMATICAE, 157(1), 195-226. SPRINGER-VERLAG. doi:10.1007/s00222-004-0366-3.
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    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. SIAM PUBLICATIONS. doi:10.1137/S0040585X97980610.
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    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. SPRINGER-VERLAG. doi:10.1007/s00440-003-0285-z.
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    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. SIAM PUBLICATIONS. doi:10.1137/S0040585X97980737.
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    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. KLUWER ACADEMIC/PLENUM PUBL. doi:10.1023/A:1014867011101.
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    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. INST MATHEMATICAL STATISTICS.
    PUB | WoS
     
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    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. SIAM PUBLICATIONS. doi:10.1137/S0040585X97979846.
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    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. SIAM PUBLICATIONS.
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    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
    Bentkus, V. & Götze, F. (2001). Lattice points in multidimensional bodies. FORUM MATHEMATICUM, 13(2), 149-225. WALTER DE GRUYTER & CO. doi:10.1515/form.2001.004.
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    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. INT STATISTICAL INST. doi:10.2307/3318495.
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    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. INST MATHEMATICAL STATISTICS.
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    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
    Bloznelis, M. & Götze, F. (2000). An edgeworth expansion for finite-population U-statistics. BERNOULLI, 6(4), 729-760. INT STATISTICAL INST. doi:10.2307/3318517.
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    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. SPRINGER VERLAG. doi:10.1007/s004400050225.
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    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. ANN MATHEMATICS. doi:10.2307/121060.
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    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. KLUWER ACADEMIC PUBL. doi:10.1023/A:1006317230342.
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    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. INST MATHEMATICAL STATISTICS. doi:10.1214/aop/1022677269.
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    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. ACADEMIC PRESS INC. doi:10.1006/jfan.1998.3326.
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    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
    Götze, F. & Tikhomirov, A.N. (1999). Asymptotic distribution of quadratic forms. ANNALS OF PROBABILITY, 27(2), 1072-1098. INST MATHEMATICAL STATISTICS.
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    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. SIAM PUBLICATIONS. doi:10.1137/S0040585X97976131.
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    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. SIAM PUBLICATIONS. doi:10.1137/S0040585X97975927.
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    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. SIAM PUBLICATIONS. doi:10.1137/S0040585X97976386.
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    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. PLENUM PUBL CORP. doi:10.1023/A:1022654631571.
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    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. Deutsche Mathematiker-Vereinigung.
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    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. Deutsche Mathematiker-Vereinigung.
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    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. CHAPMAN HALL LTD. doi:10.2307/3318596.
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    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. BLACKWELL PUBL LTD. doi:10.1111/1467-9469.00076.
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    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. SPRINGER VERLAG. doi:10.1007/s004400050136.
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    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
    Bentkus, V. & Götze, F. (1997). On the lattice point problem for ellipsoids. ACTA ARITHMETICA, 80(2), 101-125. POLISH ACAD SCIENCES INST MATHEMATICS.
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    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. INST MATHEMATICAL STATISTICS.
    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. STATISTICA SINICA.
    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. INST MATHEMATICAL STATISTICS.
    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. SIAM PUBLICATIONS. doi: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. LONDON MATHEMATICAL SOCIETY RUSSIAN ACAD SCIENCES. doi: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. PLENUM PUBL CORP. doi: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. ELSEVIER SCIENCE BV. doi: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. INST MATHEMATICAL STATISTICS.
    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. INST MATHEMATICAL STATISTICS.
    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. INST MATHEMATICAL STATISTICS.
    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. BLACKWELL PUBL LTD.
    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. MEZHDUNARODNAYA KNIGA.
    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. INST MATHEMATICAL STATISTICS. doi: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. SPRINGER VERLAG. doi: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. INST MATHEMATICAL STATISTICS. doi: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. INST MATHEMATICAL STATISTICS. doi: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. INST MATHEMATICAL STATISTICS. doi: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. INST MATHEMATICAL STATISTICS. doi: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. SPRINGER VERLAG. doi: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. ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS. doi: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. INST MATHEMATICAL STATISTICS. doi: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. INST MATHEMATICAL STATISTICS. doi:10.1214/aos/1176350170.
    PUB | DOI | WoS
     
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