148 Publikationen

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  • [148]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984564
    F. Götze and A. Tikhomirov, “On the largest and the smallest singular value of sparse rectangular random matrices”, Electronic Journal of Probability , vol. 28, 2023, : 27.
    PUB | DOI | WoS
     
  • [147]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2981953
    S.G.G. Bobkov, G. Chistyakov, and F. Götze, “Richter's local limit theorem, its refinement, and related results*”, Lithuanian Mathematical Journal, 2023.
    PUB | DOI | WoS
     
  • [146]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980945
    F. Götze and H. Sambale, “Higher order concentration on Stiefel and Grassmann manifolds”, Electronic Journal of Probability , vol. 28, 2023, : 79.
    PUB | DOI | WoS
     
  • [145]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2961330 OA
    P. Buterus, et al., “Distribution of values of quadratic forms at integral points”, Inventiones Mathematicae , vol. 227, 2022.
    PUB | PDF | DOI | WoS
     
  • [144]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2964051 OA
    M. Bloznelis and F. Götze, “Edgeworth approximations for distributions of symmetric statistics”, Probability Theory and Related Fields, vol. 183, 2022, pp. 1153–1235 .
    PUB | PDF | DOI | WoS
     
  • [143]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210 OA
    F. Götze and A.Y. Zaitsev, “A New Bound in the Littlewood–Offord Problem”, Mathematics, vol. 10, 2022, : 1740.
    PUB | PDF | DOI | Download (ext.) | WoS
     
  • [142]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963454
    F. Götze and Y. Zaitsev, “On Alternative Approximating Distributions in the Multivariate Version of Kolmogorov's Second Uniform Limit Theorem”, Theory of Probability and its Applications : a publication of the Society for Industrial and Applied Mathematics , vol. 67, 2022, pp. 1-16.
    PUB | DOI | WoS
     
  • [141]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961326
    G. Chistyakov and F. Götze, “Approximation of Free Convolutions by Free Infinitely Divisible Laws”, Theory of Probability and its Applications , vol. 66, 2022, pp. 640-667.
    PUB | DOI | WoS
     
  • [140]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962433
    F. Götze, D.A. Timushev, and A.N. Tikhomirov, “Local Marchenko-Pastur Law for Sparse Rectangular Random Matrices”, Doklady Mathematics, vol. 104, 2021, pp. 332-335.
    PUB | DOI | WoS
     
  • [139]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960439
    P. Bickel, et al., “Willem van Zwet’s research”, Annals of Statistics, vol. 49, 2021, pp. 2439-2447.
    PUB | DOI | WoS
     
  • [138]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955377
    G. Akemann, F. Götze, and T. Neuschel, “Characteristic polynomials of products of non-Hermitian Wigner matrices: finite-N results and Lyapunov universality”, Electronic Communications in Probability , vol. 26, 2021, : 30.
    PUB | DOI | WoS | arXiv
     
  • [137]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957345
    F. Götze and J. Jalowy, “Rate of convergence to the Circular Law via smoothing inequalities for log-potentials”, Random Matrices: Theory and Applications, vol. 10, 2021, : 2150026.
    PUB | DOI | WoS
     
  • [136]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955131
    F. Götze, H. Sambale, and A. Sinulis, “Concentration inequalities for polynomials in alpha-sub-exponential random variables”, Electronic Journal of Probability, vol. 26, 2021, : 48.
    PUB | DOI | WoS
     
  • [135]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2944514 OA
    F. Götze, H. Sambale, and A. Sinulis, “Concentration Inequalities for Bounded Functionals via Log-Sobolev-Type Inequalities”, JOURNAL OF THEORETICAL PROBABILITY, 2020.
    PUB | PDF | DOI | WoS
     
  • [134]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950253
    S.G. Bobkov, G. Chistyakov, and F. Götze, “Poincare inequalities and normal approximation for weighted sums”, Electronic Journal of Probability, vol. 25, 2020, : 155.
    PUB | DOI | WoS
     
  • [133]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945600
    F. Götze, A. Naumov, and A. Tikhomirov, “Local laws for non-Hermitian random matrices and their products”, Random Matrices: Theory and Applications, vol. 9, 2020, : 2150004.
    PUB | DOI | WoS
     
  • [132]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945598
    F. Götze and A. Gusakova, “On the distribution of Salem numbers”, Journal of Number Theory, vol. 216, 2020, pp. 192-215.
    PUB | DOI | WoS
     
  • [131]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945437
    F. Götze, A. Naumov, and A. Tikhomirov, “Local Semicircle Law Under Fourth Moment Condition”, JOURNAL OF THEORETICAL PROBABILITY, vol. 33, 2020, pp. 1327-1362.
    PUB | DOI | WoS
     
  • [130]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945466
    F. Götze, A.A. Naumov, and A.N. Tikhomirov, “MOMENT INEQUALITIES FOR LINEAR AND NONLINEAR STATISTICS”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 65, 2020, pp. 1-16.
    PUB | DOI | WoS
     
  • [129]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945467
    D. Dzindzalieta and F. Götze, “HALF-SPACES WITH INFLUENTIAL VARIABLE”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 65, 2020, pp. 114-120.
    PUB | DOI | WoS
     
  • [128]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944785
    S.G. Bobkov, G. Chistyakov, and F. Götze, “NORMAL APPROXIMATION FOR WEIGHTED SUMS UNDER A SECOND-ORDER CORRELATION CONDITION”, ANNALS OF PROBABILITY, vol. 48, 2020, pp. 1202-1219.
    PUB | DOI | WoS
     
  • [127]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946631
    F. Götze, A. Gusakova, and D. Zaporozhets, “Random affine simplexes”, Journal of Applied Probability, vol. 56, 2019, pp. 39-51.
    PUB | DOI | WoS
     
  • [126]
    2019 | Preprint | PUB-ID: 2934694
    B. Baumeister, et al., “Non-crossing partitions”, arXiv:1903.01146, 2019.
    PUB | arXiv
     
  • [125]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723
    F. Götze, et al., “Large ball probabilities, Gaussian comparison and anti-concentration”, Bernoulli, vol. 25, 2019, pp. 2538-2563.
    PUB | DOI | WoS | arXiv
     
  • [124]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
    S.C. Bobkov, F. Götze, and H. Sambale, “Higher order concentration of measure”, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 21, 2019, : 1850043.
    PUB | DOI | WoS
     
  • [123]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941909
    S.G. Bobkov, G. Chistyakov, and F. Götze, “Nonuniform bounds in the Poisson approximation with applications to informational distances. II”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 59, 2019, pp. 469-497.
    PUB | DOI | WoS
     
  • [122]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741
    F. Götze, H. Sambale, and A. Sinulis, “Higher order concentration for functions of weakly dependent random variables”, Electronic Journal of Probability, vol. 24, 2019, : 85.
    PUB | DOI | WoS
     
  • [121]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338
    S.G. Bobkov, G. Chistyakov, and F. Götze, “Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I”, IEEE Transactions on Information Theory, vol. 65, 2019, pp. 5283-5293.
    PUB | DOI | WoS
     
  • [120]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
    F. Götze, A.A. Naumov, and A.N. Tikhomirov, “On Optimal Bounds in the Local Semicircle Law under Four Moment Condition”, DOKLADY MATHEMATICS, vol. 99, 2019, pp. 40-43.
    PUB | DOI | WoS
     
  • [119]
    2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
    S.G. Bobkov, G. Chistyakov, and F. Götze, “RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM”, ANNALS OF PROBABILITY, vol. 47, 2019, pp. 270-323.
    PUB | DOI | WoS
     
  • [118]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
    S.G. Bobkov, G. Chistyakov, and F. Götze, “Berry-Esseen bounds for typical weighted sums”, Electronic Journal of Probability, vol. 23, 2018, : 92.
    PUB | DOI | WoS
     
  • [117]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
    F. Götze, et al., “On the local semicircular law for Wigner ensembles”, BERNOULLI, vol. 24, 2018, pp. 2358-2400.
    PUB | DOI | WoS
     
  • [116]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
    F. Götze, A.A. Naumov, and A.N. Tikhomirov, “LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 58-83.
    PUB | DOI | WoS
     
  • [115]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
    F. Götze, Y.S. Eliseeva, and A.Y. Zaitsev, “ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 196-215.
    PUB | DOI | WoS
     
  • [114]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
    Y.V. Prokhorov, F. Götze, and V.V. Ulyanov, “ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 98-116.
    PUB | DOI | WoS
     
  • [113]
    2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
    F. Götze and A.Y. Zaitsev, “New applications of Arak's inequalities to the Littlewood-Offord problem”, EUROPEAN JOURNAL OF MATHEMATICS, vol. 4, 2018, pp. 639-663.
    PUB | DOI | WoS
     
  • [112]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
    F. Götze, A. Naumov, and A. Tikhomirov, “Distribution of linear statistics of singular values of the product of random matrices”, Bernoulli, vol. 23, 2017, pp. 3067-3113.
    PUB | DOI | WoS
     
  • [111]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
    F. Götze and A. Gusakova, “On algebraic integers in short intervals and near smooth curves”, ACTA ARITHMETICA, vol. 179, 2017, pp. 251-265.
    PUB | DOI | WoS
     
  • [110]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
    V. Bernik, N. Budarina, and F. Götze, “Exact upper bounds for the number of the polynomials with given discriminants”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 57, 2017, pp. 283-293.
    PUB | DOI | WoS
     
  • [109]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
    F. Götze, A. Naumov, and V. Ulyanov, “Asymptotic Analysis of Symmetric Functions”, JOURNAL OF THEORETICAL PROBABILITY, vol. 30, 2017, pp. 876-897.
    PUB | DOI | WoS
     
  • [108]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
    S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Second-order concentration on the sphere”, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 19, 2017, : 1650058.
    PUB | DOI | WoS
     
  • [107]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
    F. Götze, D. Kaliada, and D. Zaporozhets, “DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS”, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 145, 2017, pp. 61-71.
    PUB | DOI | WoS
     
  • [106]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
    F. Götze, A.A. Naumov, and A.N. Tikhomirov, “Local Laws for Non-Hermitian Random Matrices”, DOKLADY MATHEMATICS, vol. 96, 2017, pp. 558-560.
    PUB | DOI | WoS
     
  • [105]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
    V. Beresnevich, V. Bernik, and F. Götze, “Integral polynomials with small discriminants and resultants”, ADVANCES IN MATHEMATICS, vol. 298, 2016, pp. 393-412.
    PUB | DOI | WoS
     
  • [104]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
    F. Götze and A. Tikhomirov, “Optimal bounds for convergence of expected spectral distributions to the semi-circular law”, PROBABILITY THEORY AND RELATED FIELDS, vol. 165, 2016, pp. 163-233.
    PUB | DOI | WoS
     
  • [103]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
    S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Regularized distributions and entropic stability of Cramer's characterization of the normal law”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 126, 2016, pp. 3865-3887.
    PUB | DOI | WoS
     
  • [102]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
    F. Götze, Y.S. Eliseeva, and A.Y. Zaitsev, “Arak's inequalities for concentration functions and the Littlewood-Offord problem”, DOKLADY MATHEMATICS, vol. 93, 2016, pp. 202-206.
    PUB | DOI | WoS
     
  • [101]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
    F. Götze, A. Naumov, and A. Tikhomirov, “ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES”, Acta Physica Polonica B, vol. 46, 2015, : 1737.
    PUB | DOI | WoS
     
  • [100]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
    F. Götze, A.A. Naumov, and A.N. Tikhomirov, “LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 59, 2015, pp. 23-39.
    PUB | DOI | WoS
     
  • [99]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
    F. Götze, A. Naumov, and A. Tikhomirov, “On minimal singular values of random matrices with correlated entries”, RANDOM MATRICES-THEORY AND APPLICATIONS, vol. 4, 2015, : 30.
    PUB | DOI | WoS
     
  • [98]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
    F. Götze, H. Kösters, and A. Tikhomirov, “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”, RANDOM MATRICES-THEORY AND APPLICATIONS, vol. 4, 2015, : 85.
    PUB | DOI | WoS
     
  • [97]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
    V.I. Bernik and F. Götze, “Distribution of real algebraic numbers of arbitrary degree in short intervals”, Izvestiya Mathematics, vol. 79, 2015, pp. 18-39.
    PUB | DOI | WoS
     
  • [96]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
    M. Baake, et al., “Radial spacing distributions from planar point sets”, Acta crystallographica. Section A, Foundations and advances, vol. 70, 2014, pp. 472-482.
    PUB | DOI | WoS | PubMed | Europe PMC
     
  • [95]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
    F. Götze and A.Y. Zaitsev, “EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS”, The Annals of Probability, vol. 42, 2014, pp. 354-397.
    PUB | DOI | WoS
     
  • [94]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
    N.V. Budarina and F. Götze, “Distance between conjugate algebraic numbers in clusters”, Mathematical Notes, vol. 94, 2014, pp. 816-819.
    PUB | DOI | WoS
     
  • [93]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
    F. Götze and M. Venker, “LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES”, The Annals of Probability, vol. 42, 2014, pp. 2207-2242.
    PUB | DOI | WoS
     
  • [92]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
    S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Fisher information and convergence to stable laws”, Bernoulli, vol. 20, 2014, pp. 1620-1646.
    PUB | DOI | WoS
     
  • [91]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
    V. Bernik, F. Götze, and O. Kukso, “On algebraic points in the plane near smooth curves”, Lithuanian Mathematical Journal, vol. 54, 2014, pp. 231-251.
    PUB | DOI | WoS
     
  • [90]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
    S.G. Bobkov, G. Chistyakov, and F. Götze, “Berry-Esseen bounds in the entropic central limit theorem”, Probability Theory and Related Fields, vol. 159, 2014, pp. 435-478.
    PUB | DOI | WoS
     
  • [89]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
    S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Fisher information and the central limit theorem”, Probability Theory and Related Fields, vol. 159, 2014, pp. 1-59.
    PUB | DOI | WoS
     
  • [88]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
    M. Bloznelis and F. Götze, “Preferred Attachment in Affiliation Networks”, Journal of Statistical Physics, vol. 156, 2014, pp. 800-821.
    PUB | DOI | WoS
     
  • [87]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
    D. Kaliada, F. Götze, and O. Kukso, “The asymptotic number of integral cubic polynomials with bounded heights and discriminants”, Lithuanian Mathematical Journal, vol. 54, 2014, pp. 150-165.
    PUB | DOI | WoS
     
  • [86]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
    F. Götze and W.R. Van Zwet, “THE TIMES OF YURI VASILYEVICH PROKHOROV”, Theory Of Probability & Its Applications, vol. 57, 2013, pp. 306-322.
    PUB | DOI | WoS
     
  • [85]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
    S.G. Bobkov, G. Chistyakov, and F. Götze, “Convergence to Stable Laws in Relative Entropy”, Journal Of Theoretical Probability, vol. 26, 2013, pp. 803-818.
    PUB | DOI | WoS
     
  • [84]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
    G. Chistyakov and F. Götze, “Asymptotic expansions in the CLT in free probability”, Probability Theory And Related Fields, vol. 157, 2013, pp. 107-156.
    PUB | DOI | WoS
     
  • [83]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
    S.G. Bobkov, G. Chistyakov, and F. Götze, “STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS”, Theory Of Probability & Its Applications, vol. 57, 2013, pp. 568-588.
    PUB | DOI | WoS
     
  • [82]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
    S.G. Bobkov, G.P. Chistyakov, and F. Götze, “RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM”, The Annals Of Probability, vol. 41, 2013, pp. 2479-2512.
    PUB | DOI | WoS
     
  • [81]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
    M. Bloznelis, F. Götze, and J. Jaworski, “BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH”, Journal of Applied Probability, vol. 49, 2012, pp. 601-611.
    PUB | WoS
     
  • [80]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
    F. Götze and D. Zaporozhets, “ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS”, Theory Of Probability & Its Applications, vol. 56, 2012, pp. 696-U217.
    PUB | DOI | WoS
     
  • [79]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
    S.G. Bobkov, G. Chistyakov, and F. Götze, “Bounds for characteristic functions in terms of quantiles and entropy”, ELECTRONIC COMMUNICATIONS IN PROBABILITY, vol. 17, 2012, pp. 1-9.
    PUB | DOI | WoS
     
  • [78]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
    G. Chistyakov, F. Götze, and F. Lehner, “Freeness of linear and quadratic forms in von Neumann algebras”, Journal of Functional Analysis, vol. 261, 2011, pp. 2829-2844.
    PUB | DOI | WoS
     
  • [77]
    2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
    G. Chistyakov and F. Götze, “The arithmetic of distributions in free probability theory”, Central European Journal of Mathematics, vol. 9, 2011, pp. 997-1050.
    PUB | DOI | WoS
     
  • [76]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
    M. Bloznelis, et al., “VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM”, Lithuanian Mathematical Journal, vol. 50, 2010, pp. 367-371.
    PUB | DOI | WoS
     
  • [75]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
    N. Alexeev, F. Götze, and A. Tikhomirov, “ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 50, 2010, pp. 121-132.
    PUB | DOI | WoS
     
  • [74]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
    S.G. Bobkov, F. Götze, and A.N. Tikhomirov, “On Concentration of Empirical Measures and Convergence to the Semi-circle Law”, JOURNAL OF THEORETICAL PROBABILITY, vol. 23, 2010, pp. 792-823.
    PUB | DOI | WoS
     
  • [73]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
    F. Götze and A. Tikhomirov, “THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 54, 2010, pp. 129-U7.
    PUB | DOI | WoS
     
  • [72]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
    N.V. Alexeev, F. Götze, and A.N. Tikhomirov, “On the Singular Spectrum of Powers and Products of Random Matrices”, DOKLADY MATHEMATICS, vol. 82, 2010, pp. 505-507.
    PUB | DOI | WoS
     
  • [71]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
    F. Götze and A. Tikhomirov, “THE CIRCULAR LAW FOR RANDOM MATRICES”, ANNALS OF PROBABILITY, vol. 38, 2010, pp. 1444-1491.
    PUB | DOI | WoS
     
  • [70]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
    S.G. Bobkov and F. Götze, “Concentration of empirical distribution functions with applications to non-i.i.d. models”, Bernoulli, vol. 16, 2010, pp. 1385-1414.
    PUB | DOI | WoS
     
  • [69]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
    V. Beresnevich, V. Bernik, and F. Götze, “The distribution of close conjugate algebraic numbers”, COMPOSITIO MATHEMATICA, vol. 146, 2010, pp. 1165-1179.
    PUB | DOI | WoS
     
  • [68]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
    F. Götze and A.Y. Zaitsev, “BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 53, 2009, pp. 59-80.
    PUB | DOI | WoS
     
  • [67]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
    F. Götze and H. Kösters, “On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 285, 2009, pp. 1183-1205.
    PUB | DOI | WoS
     
  • [66]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
    V. Bernik, F. Götze, and O. Kukso, “Lower bounds for the number of integral polynomials with given order of discriminants”, ACTA ARITHMETICA, vol. 133, 2008, pp. 375-390.
    PUB | DOI | WoS
     
  • [65]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
    V. Bernik, F. Götze, and O. Kukso, “On the divisibility of the discriminant of an integral polynomial by prime powers”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 48, 2008, pp. 380-396.
    PUB | DOI | WoS
     
  • [64]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
    G. Chistyakov and F. Götze, “Limit theorems in free probability theory I”, ANNALS OF PROBABILITY, vol. 36, 2008, pp. 54-90.
    PUB | DOI | WoS
     
  • [63]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
    G. Chistyakov and F. Götze, “Limit theorems in free probability theory II”, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 6, 2008, pp. 87-117.
    PUB | DOI | WoS
     
  • [62]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
    F. Götze and M. Gordin, “Limit correlation functions for fixed trace random matrix ensembles”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 281, 2008, pp. 203-229.
    PUB | DOI | WoS
     
  • [61]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
    G. Chistyakov and F. Götze, “Independence of linear forms with random coefficients”, PROBABILITY THEORY AND RELATED FIELDS, vol. 137, 2007, pp. 1-24.
    PUB | DOI | WoS
     
  • [60]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
    F. Götze, A. Tikhomirov, and D.A. Timushev, “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 5, 2007, pp. 305-334.
    PUB | DOI | WoS
     
  • [59]
    2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
    S.G. Bobkov and F. Götze, “Concentration inequalities and limit theorems for randomized sums”, PROBABILITY THEORY AND RELATED FIELDS, vol. 137, 2007, pp. 49-81.
    PUB | DOI | WoS
     
  • [58]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
    S.A. Bogatyrev, F. Götze, and V.V. Ulyanov, “Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space”, JOURNAL OF MULTIVARIATE ANALYSIS, vol. 97, 2006, pp. 2041-2056.
    PUB | DOI | WoS
     
  • [57]
    2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
    F. Götze and A.N. Tikhomirov, “Limit theorems for spectra of random matrices with martingale structure”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 51, 2006, pp. 42-64.
    PUB | DOI | WoS
     
  • [56]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
    F. Götze and A.N. Tikhomirov, “Asymptotic expansions in non-central limit theorems for quadratic forms”, JOURNAL OF THEORETICAL PROBABILITY, vol. 18, 2005, pp. 757-811.
    PUB | DOI | WoS
     
  • [55]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
    E. Gine and F. Götze, “On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors”, ELECTRONIC COMMUNICATIONS IN PROBABILITY, vol. 9, 2004, pp. 162-171.
    PUB | DOI | WoS
     
  • [54]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
    F. Götze and A. Tikhomirov, “Rate of convergence in probability to the Marchenko-Pastur law”, BERNOULLI, vol. 10, 2004, pp. 503-548.
    PUB | DOI | WoS
     
  • [53]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
    F. Götze and M. Gordin, “Limiting distributions of theta series on Siegel half-spaces”, St. Petersburg mathematical journal, vol. 15, 2004, pp. 81-102.
    PUB
     
  • [52]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
    G. Chistyakov and F. Götze, “Distribution of the shape of Markovian random words”, PROBABILITY THEORY AND RELATED FIELDS, vol. 129, 2004, pp. 18-36.
    PUB | DOI | WoS
     
  • [51]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
    G. Chistyakov and F. Götze, “Limit distributions of studentized means”, ANNALS OF PROBABILITY, vol. 32, 2004, pp. 28-77.
    PUB | WoS
     
  • [50]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
    F. Götze, “Lattice point problems and values of quadratic forms”, INVENTIONES MATHEMATICAE, vol. 157, 2004, pp. 195-226.
    PUB | DOI | WoS
     
  • [49]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
    G. Chistyakov and F. Götze, “On bounds for moderate deviations for student's statistic”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 48, 2003, pp. 528-535.
    PUB | DOI | WoS
     
  • [48]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
    F. Götze and A. Tikhomirov, “Rate of convergence to the semi-circular law”, PROBABILITY THEORY AND RELATED FIELDS, vol. 127, 2003, pp. 228-276.
    PUB | DOI | WoS
     
  • [47]
    2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
    S.G. Bobkov and F. Götze, “On the central limit theorem along subsequences of noncorrelated observations”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 48, 2003, pp. 604-621.
    PUB | DOI | WoS
     
  • [46]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
    F. Götze and A. Tikhomirov, “Asymptotic distribution of quadratic forms and applications”, JOURNAL OF THEORETICAL PROBABILITY, vol. 15, 2002, pp. 423-475.
    PUB | DOI | WoS
     
  • [45]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
    M. Bloznelis and F. Götze, “An Edgeworth expansion for symmetric finite population statistics”, ANNALS OF PROBABILITY, vol. 30, 2002, pp. 1238-1265.
    PUB | WoS
     
  • [44]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
    G. Chistyakov and F. Götze, “Moderate deviations for student's statistic”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 47, 2002, pp. 415-428.
    PUB | DOI | WoS
     
  • [43]
    2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
    F. Götze and A.N. Tikhomirov, “Rate of convergence to the semicircular law for the Gaussian unitary ensemble”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 47, 2002, pp. 323-330.
    PUB | WoS
     
  • [42]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
    V. Bentkus and F. Götze, “Lattice points in multidimensional bodies”, FORUM MATHEMATICUM, vol. 13, 2001, pp. 149-225.
    PUB | DOI | WoS
     
  • [41]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
    S.G. Bobkov, F. Götze, and C. Houdre, “On Gaussian and Bernoulli covariance representations”, BERNOULLI, vol. 7, 2001, pp. 439-451.
    PUB | DOI | WoS
     
  • [40]
    2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952
    M. Bloznelis and F. Götze, “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”, ANNALS OF STATISTICS, vol. 29, 2001, pp. 899-917.
    PUB | WoS
     
  • [39]
    2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
    M. Bloznelis and F. Götze, “An edgeworth expansion for finite-population U-statistics”, BERNOULLI, vol. 6, 2000, pp. 729-760.
    PUB | DOI | WoS
     
  • [38]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
    S.G. Bobkov and F. Götze, “Discrete isoperimetric and Poincare-type inequalities”, PROBABILITY THEORY AND RELATED FIELDS, vol. 114, 1999, pp. 245-277.
    PUB | DOI | WoS
     
  • [37]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
    V. Bentkus and F. Götze, “Lattice point problems and distribution of values of quadratic forms”, ANNALS OF MATHEMATICS, vol. 150, 1999, pp. 977-1027.
    PUB | DOI | WoS
     
  • [36]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
    M. Bloznelis and F. Götze, “One-term Edgeworth expansion for finite population U-statistics of degree two”, ACTA APPLICANDAE MATHEMATICAE, vol. 58, 1999, pp. 75-90.
    PUB | DOI | WoS
     
  • [35]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
    V. Bentkus and F. Götze, “Optimal bounds in non-Gaussian limit theorems for U-statistics”, ANNALS OF PROBABILITY, vol. 27, 1999, pp. 454-521.
    PUB | DOI | WoS
     
  • [34]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
    S.G. Bobkov and F. Götze, “Exponential integrability and transportation cost related to logarithmic sobolev inequalities”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 163, 1999, pp. 1-28.
    PUB | DOI | WoS
     
  • [33]
    1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
    F. Götze and A.N. Tikhomirov, “Asymptotic distribution of quadratic forms”, ANNALS OF PROBABILITY, vol. 27, 1999, pp. 1072-1098.
    PUB | WoS
     
  • [32]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
    V. Bentkus, F. Götze, and A.Y. Zaitsev, “Approximation of quadratic forms of independent random vectors by accompanying laws”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 189-212.
    PUB | DOI | WoS
     
  • [31]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
    F. Götze, Y.V. Prokhorov, and V.V. Ulyanov, “On smooth behavior of probability distributions under polynomial mappings”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 28-38.
    PUB | DOI | WoS
     
  • [30]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
    F. Götze and A.Y. Zaitsev, “Estimates for the rapid decay of concentration functions of n-fold convolutions”, JOURNAL OF THEORETICAL PROBABILITY, vol. 11, 1998, pp. 715-731.
    PUB | DOI | WoS
     
  • [29]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
    S.G. Bobkov and F. Götze, “On moments of polynomials”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 518-A520.
    PUB | DOI | WoS
     
  • [28]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
    F. Götze, “Lattice point problems and the central limit theorem in Euclidean spaces”, Documenta Mathematica, vol. 1998, 1998, pp. 245-255.
    PUB
     
  • [27]
    1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
    F. Götze, “Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"”, Documenta Mathematica, vol. 1998, 1998, pp. 648.
    PUB
     
  • [26]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
    V. Bentkus, F. Götze, and A. Tikhomirov, “Berry-Esseen bounds for statistics of weakly dependent samples”, BERNOULLI, vol. 3, 1997, pp. 329-349.
    PUB | DOI | WoS
     
  • [25]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
    V. Bentkus, M. Bloznelis, and F. Götze, “A Berry-Esseen bound for M-estimators”, SCANDINAVIAN JOURNAL OF STATISTICS, vol. 24, 1997, pp. 485-502.
    PUB | DOI | WoS
     
  • [24]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698
    V. Bentkus and F. Götze, “Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces”, PROBABILITY THEORY AND RELATED FIELDS, vol. 109, 1997, pp. 367-416.
    PUB | DOI | WoS
     
  • [23]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
    V. Bentkus and F. Götze, “On the lattice point problem for ellipsoids”, ACTA ARITHMETICA, vol. 80, 1997, pp. 101-125.
    PUB | WoS
     
  • [22]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
    E. Gine, F. Götze, and D.M. Mason, “When is the student t-statistic asymptotically standard normal?”, ANNALS OF PROBABILITY, vol. 25, 1997, pp. 1514-1531.
    PUB | WoS
     
  • [21]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
    P.J. Bickel, F. Götze, and W.R. vanZwet, “Resampling fewer than n observations: Gains, losses, and remedies for losses”, STATISTICA SINICA, vol. 7, 1997, pp. 1-31.
    PUB | WoS
     
  • [20]
    1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
    V. Bentkus, F. Götze, and W.R. van Zwet, “An Edgeworth expansion for symmetric statistics”, ANNALS OF STATISTICS, vol. 25, 1997, pp. 851-896.
    PUB | WoS
     
  • [19]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
    V. Bentkus and F. Götze, “On minimal moment assumptions in Berry-Esseen theorems for U-statistics”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 40, 1996, pp. 430-445.
    PUB | DOI | WoS
     
  • [18]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
    F. Götze, Y.V. Prokhorov, and V.V. Ulyanov, “Bounds for characteristic functions of polynomials in asymptotically normal random variables”, RUSSIAN MATHEMATICAL SURVEYS, vol. 51, 1996, pp. 181-204.
    PUB | DOI | WoS
     
  • [17]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739
    V. Bentkus, M. Bloznelis, and F. Götze, “A Berry-Esseen bound for student's statistic in the non-iid case”, JOURNAL OF THEORETICAL PROBABILITY, vol. 9, 1996, pp. 765-796.
    PUB | DOI | WoS
     
  • [16]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
    V. Bentkus, F. Götze, and V. Paulauskas, “Bounds for the accuracy of Poissonian approximations of stable laws”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 65, 1996, pp. 55-68.
    PUB | DOI | WoS
     
  • [15]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
    F. Götze and H.R. Kunsch, “Second-order correctness of the blockwise bootstrap for stationary observations”, ANNALS OF STATISTICS, vol. 24, 1996, pp. 1914-1933.
    PUB | WoS
     
  • [14]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
    V. Bentkus and F. Götze, “The Berry-Esseen bound for student's statistic”, ANNALS OF PROBABILITY, vol. 24, 1996, pp. 491-503.
    PUB | WoS
     
  • [13]
    1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
    V. Bentkus and F. Götze, “Optimal rates of convergence in the CLT for quadratic forms”, ANNALS OF PROBABILITY, vol. 24, 1996, pp. 466-490.
    PUB | WoS
     
  • [12]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
    F. Götze, L. Heinrich, and C. Hipp, “M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION”, SCANDINAVIAN JOURNAL OF STATISTICS, vol. 22, 1995, pp. 183-195.
    PUB | WoS
     
  • [11]
    1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
    V. Bentkus and F. Götze, “ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS”, DOKLADY AKADEMII NAUK, vol. 343, 1995, pp. 439-440.
    PUB | WoS
     
  • [10]
    1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
    F. Götze and C. Hipp, “ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES”, ANNALS OF STATISTICS, vol. 22, 1994, pp. 2062-2088.
    PUB | DOI | WoS
     
  • [9]
    1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
    V. Bentkus and F. Götze, “ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES”, PROBABILITY THEORY AND RELATED FIELDS, vol. 96, 1993, pp. 137-151.
    PUB | DOI | WoS
     
  • [8]
    1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
    E. Bolthausen and F. Götze, “THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS”, ANNALS OF STATISTICS, vol. 21, 1993, pp. 1692-1710.
    PUB | DOI | WoS
     
  • [7]
    1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
    F. Götze, “ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT”, ANNALS OF PROBABILITY, vol. 19, 1991, pp. 724-739.
    PUB | DOI | WoS
     
  • [6]
    1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279
    F. Götze and C. Hipp, “LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD”, ANNALS OF PROBABILITY, vol. 18, 1990, pp. 810-828.
    PUB | DOI | WoS
     
  • [5]
    1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
    F. Götze, “EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS”, ANNALS OF PROBABILITY, vol. 17, 1989, pp. 1602-1634.
    PUB | DOI | WoS
     
  • [4]
    1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
    F. Götze and C. HIPP, “ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS”, PROBABILITY THEORY AND RELATED FIELDS, vol. 82, 1989, pp. 349-370.
    PUB | DOI | WoS
     
  • [3]
    1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
    F. Götze, “APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS”, JOURNAL OF MULTIVARIATE ANALYSIS, vol. 22, 1987, pp. 212-229.
    PUB | DOI | WoS
     
  • [2]
    1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
    F. Götze, “ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES”, ANNALS OF PROBABILITY, vol. 14, 1986, pp. 922-942.
    PUB | DOI | WoS
     
  • [1]
    1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
    P.J. Bickel, F. Götze, and W.R. Vanzwet, “THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2”, ANNALS OF STATISTICS, vol. 14, 1986, pp. 1463-1484.
    PUB | DOI | WoS
     

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