PUB - Publikationen an der Universität Bielefeld

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• [148]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984564

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

  PUB | DOI | WoS
   
• [147]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | 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.

  PUB | DOI | WoS
   
• [146]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980945

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

  PUB | DOI | WoS
   
• [145]
  

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

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

  PUB | PDF | DOI | WoS
   
• [144]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210

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

  PUB | PDF | DOI | Download (ext.) | WoS
   
• [143]
  

  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), p 1-16.

  PUB | DOI | WoS
   
• [142]
  

  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), p 640-667.

  PUB | DOI | WoS
   
• [141]
  

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

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

  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), p 332-335.

  PUB | DOI | WoS
   
• [139]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960439

  Bickel, P., et al., 2021. Willem van Zwet’s research. Annals of Statistics, 49(5), p 2439-2447.

  PUB | DOI | WoS
   
• [138]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955377

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

  PUB | DOI | WoS | arXiv
   
• [137]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957345

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

  PUB | DOI | WoS
   
• [136]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955131

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

  PUB | DOI | WoS
   
• [135]
  

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

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

  PUB | PDF | DOI | WoS
   
• [134]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2950253

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

  PUB | DOI | WoS
   
• [133]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945600

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

  PUB | DOI | WoS
   
• [132]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945598

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

  PUB | DOI | WoS
   
• [131]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945437

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

  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), p 1-16.

  PUB | DOI | WoS
   
• [129]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945467

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

  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), p 1202-1219.

  PUB | DOI | WoS
   
• [127]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946631

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

  PUB | DOI | WoS
   
• [126]
  

  2019 | Preprint | PUB-ID: 2934694

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

  PUB | arXiv
   
• [125]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723

  Götze, F., et al., 2019. Large ball probabilities, Gaussian comparison and anti-concentration. Bernoulli, 25(4A), p 2538-2563.

  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.

  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), p 469-497.

  PUB | DOI | WoS
   
• [122]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741

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

  PUB | DOI | WoS
   
• [121]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338

  Bobkov, 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), p 5283-5293.

  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), p 40-43.

  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), p 270-323.

  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.

  PUB | DOI | WoS
   
• [117]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644

  Götze, F., et al., 2018. On the local semicircular law for Wigner ensembles. BERNOULLI, 24(3), p 2358-2400.

  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), p 58-83.

  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), p 196-215.

  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), p 98-116.

  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), p 639-663.

  PUB | DOI | WoS
   
• [112]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434

  Götze, F., Naumov, A., & Tikhomirov, A., 2017. Distribution of linear statistics of singular values of the product of random matrices. Bernoulli, 23(4B), p 3067-3113.

  PUB | DOI | WoS
   
• [111]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113

  Götze, F., & Gusakova, A., 2017. On algebraic integers in short intervals and near smooth curves. ACTA ARITHMETICA, 179(3), p 251-265.

  PUB | DOI | WoS
   
• [110]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993

  Bernik, V., Budarina, N., & Götze, F., 2017. Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL, 57(3), p 283-293.

  PUB | DOI | WoS
   
• [109]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474

  Götze, F., Naumov, A., & Ulyanov, V., 2017. Asymptotic Analysis of Symmetric Functions. JOURNAL OF THEORETICAL PROBABILITY, 30(3), p 876-897.

  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.

  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), p 61-71.

  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), p 558-560.

  PUB | DOI | WoS
   
• [105]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683

  Beresnevich, V., Bernik, V., & Götze, F., 2016. Integral polynomials with small discriminants and resultants. ADVANCES IN MATHEMATICS, 298, p 393-412.

  PUB | DOI | WoS
   
• [104]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070

  Götze, F., & Tikhomirov, A., 2016. Optimal bounds for convergence of expected spectral distributions to the semi-circular law. PROBABILITY THEORY AND RELATED FIELDS, 165(1-2), p 163-233.

  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), p 3865-3887.

  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), p 202-206.

  PUB | DOI | WoS
   
• [101]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838

  Götze, F., Naumov, A., & Tikhomirov, A., 2015. ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES. Acta Physica Polonica B, 46(9): 1737.

  PUB | DOI | WoS
   
• [100]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110

  Götze, F., Naumov, 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), p 23-39.

  PUB | DOI | WoS
   
• [99]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095

  Götze, F., Naumov, A., & Tikhomirov, A., 2015. On minimal singular values of random matrices with correlated entries. RANDOM MATRICES-THEORY AND APPLICATIONS, 4(2): 30.

  PUB | DOI | WoS
   
• [98]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096

  Götze, F., Kösters, H., & Tikhomirov, A., 2015. Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS, 4(2): 85.

  PUB | DOI | WoS
   
• [97]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385

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

  PUB | DOI | WoS
   
• [96]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675

  Baake, M., et al., 2014. Radial spacing distributions from planar point sets. Acta crystallographica. Section A, Foundations and advances, 70(Pt 5), p 472-482.

  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), p 354-397.

  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), p 816-819.

  PUB | DOI | WoS
   
• [93]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611

  Götze, F., & Venker, M., 2014. LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES. The Annals of Probability, 42(6), p 2207-2242.

  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), p 1620-1646.

  PUB | DOI | WoS
   
• [91]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064

  Bernik, V., Götze, F., & Kukso, O., 2014. On algebraic points in the plane near smooth curves. Lithuanian Mathematical Journal, 54(3), p 231-251.

  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), p 435-478.

  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), p 1-59.

  PUB | DOI | WoS
   
• [88]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746

  Bloznelis, M., & Götze, F., 2014. Preferred Attachment in Affiliation Networks. Journal of Statistical Physics, 156(4), p 800-821.

  PUB | DOI | WoS
   
• [87]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355

  Kaliada, D., Götze, F., & Kukso, O., 2014. The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Lithuanian Mathematical Journal, 54(2), p 150-165.

  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), p 306-322.

  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), p 803-818.

  PUB | DOI | WoS
   
• [84]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882

  Chistyakov, G., & Götze, F., 2013. Asymptotic expansions in the CLT in free probability. Probability Theory And Related Fields, 157(1-2), p 107-156.

  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), p 568-588.

  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), p 2479-2512.

  PUB | DOI | WoS
   
• [81]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214

  Bloznelis, M., Götze, F., & Jaworski, J., 2012. BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH. Journal of Applied Probability, 49(3), p 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), p 696-U217.

  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, p 1-9.

  PUB | DOI | WoS
   
• [78]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372

  Chistyakov, G., Götze, F., & Lehner, F., 2011. Freeness of linear and quadratic forms in von Neumann algebras. Journal of Functional Analysis, 261(10), p 2829-2844.

  PUB | DOI | WoS
   
• [77]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392

  Chistyakov, G., & Götze, F., 2011. The arithmetic of distributions in free probability theory. Central European Journal of Mathematics, 9(5), p 997-1050.

  PUB | DOI | WoS
   
• [76]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346

  Bloznelis, M., et al., 2010. VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM. Lithuanian Mathematical Journal, 50(4), p 367-371.

  PUB | DOI | WoS
   
• [75]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793

  Alexeev, N., Götze, F., & Tikhomirov, A., 2010. ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES. LITHUANIAN MATHEMATICAL JOURNAL, 50(2), p 121-132.

  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), p 792-823.

  PUB | DOI | WoS
   
• [73]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101

  Götze, F., & Tikhomirov, A., 2010. THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES. THEORY OF PROBABILITY AND ITS APPLICATIONS, 54(1), p 129-U7.

  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), p 505-507.

  PUB | DOI | WoS
   
• [71]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544

  Götze, F., & Tikhomirov, A., 2010. THE CIRCULAR LAW FOR RANDOM MATRICES. ANNALS OF PROBABILITY, 38(4), p 1444-1491.

  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), p 1385-1414.

  PUB | DOI | WoS
   
• [69]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158

  Beresnevich, V., Bernik, V., & Götze, F., 2010. The distribution of close conjugate algebraic numbers. COMPOSITIO MATHEMATICA, 146(5), p 1165-1179.

  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), p 59-80.

  PUB | DOI | WoS
   
• [67]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216

  Götze, F., & Kösters, H., 2009. On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 285(3), p 1183-1205.

  PUB | DOI | WoS
   
• [66]
  

  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), p 375-390.

  PUB | DOI | WoS
   
• [65]
  

  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), p 380-396.

  PUB | DOI | WoS
   
• [64]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003

  Chistyakov, G., & Götze, F., 2008. Limit theorems in free probability theory I. ANNALS OF PROBABILITY, 36(1), p 54-90.

  PUB | DOI | WoS
   
• [63]
  

  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), p 87-117.

  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), p 203-229.

  PUB | DOI | WoS
   
• [61]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316

  Chistyakov, G., & Götze, F., 2007. Independence of linear forms with random coefficients. PROBABILITY THEORY AND RELATED FIELDS, 137(1-2), p 1-24.

  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), p 305-334.

  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), p 49-81.

  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), p 2041-2056.

  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), p 42-64.

  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), p 757-811.

  PUB | DOI | WoS
   
• [55]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986

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

  PUB | DOI | WoS
   
• [54]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044

  Götze, F., & Tikhomirov, A., 2004. Rate of convergence in probability to the Marchenko-Pastur law. BERNOULLI, 10(3), p 503-548.

  PUB | DOI | WoS
   
• [53]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107

  Götze, F., & Gordin, M., 2004. Limiting distributions of theta series on Siegel half-spaces. St. Petersburg mathematical journal, 15(1), p 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), p 18-36.

  PUB | DOI | WoS
   
• [51]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262

  Chistyakov, G., & Götze, F., 2004. Limit distributions of studentized means. ANNALS OF PROBABILITY, 32(1A), p 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), p 195-226.

  PUB | DOI | WoS
   
• [49]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373

  Chistyakov, G., & Götze, F., 2003. On bounds for moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS, 48(3), p 528-535.

  PUB | DOI | WoS
   
• [48]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739

  Götze, F., & Tikhomirov, A., 2003. Rate of convergence to the semi-circular law. PROBABILITY THEORY AND RELATED FIELDS, 127(2), p 228-276.

  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), p 604-621.

  PUB | DOI | WoS
   
• [46]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604

  Götze, F., & Tikhomirov, A., 2002. Asymptotic distribution of quadratic forms and applications. JOURNAL OF THEORETICAL PROBABILITY, 15(2), p 423-475.

  PUB | DOI | WoS
   
• [45]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886

  Bloznelis, M., & Götze, F., 2002. An Edgeworth expansion for symmetric finite population statistics. ANNALS OF PROBABILITY, 30(3), p 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), p 415-428.

  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), p 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), p 149-225.

  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), p 439-451.

  PUB | DOI | WoS
   
• [40]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952

  Bloznelis, M., & Götze, F., 2001. Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. ANNALS OF STATISTICS, 29(3), p 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), p 729-760.

  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), p 245-277.

  PUB | DOI | WoS
   
• [37]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558

  Bentkus, V., & Götze, F., 1999. Lattice point problems and distribution of values of quadratic forms. ANNALS OF MATHEMATICS, 150(3), p 977-1027.

  PUB | DOI | WoS
   
• [36]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192

  Bloznelis, M., & Götze, F., 1999. One-term Edgeworth expansion for finite population U-statistics of degree two. ACTA APPLICANDAE MATHEMATICAE, 58(1-3), p 75-90.

  PUB | DOI | WoS
   
• [35]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221

  Bentkus, V., & Götze, F., 1999. Optimal bounds in non-Gaussian limit theorems for U-statistics. ANNALS OF PROBABILITY, 27(1), p 454-521.

  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), p 1-28.

  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), p 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), p 189-212.

  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), p 28-38.

  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), p 715-731.

  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), p 518-A520.

  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), p 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), p 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), p 329-349.

  PUB | DOI | WoS
   
• [25]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616

  Bentkus, V., Bloznelis, M., & Götze, F., 1997. A Berry-Esseen bound for M-estimators. SCANDINAVIAN JOURNAL OF STATISTICS, 24(4), p 485-502.

  PUB | DOI | WoS
   
• [24]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698

  Bentkus, V., & Götze, F., 1997. Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces. PROBABILITY THEORY AND RELATED FIELDS, 109(3), p 367-416.

  PUB | DOI | WoS
   
• [23]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842

  Bentkus, V., & Götze, F., 1997. On the lattice point problem for ellipsoids. ACTA ARITHMETICA, 80(2), p 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), p 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), p 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), p 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), p 430-445.

  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), p 181-204.

  PUB | DOI | WoS
   
• [17]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739

  Bentkus, V., Bloznelis, M., & Götze, F., 1996. A Berry-Esseen bound for student's statistic in the non-iid case. JOURNAL OF THEORETICAL PROBABILITY, 9(3), p 765-796.

  PUB | DOI | WoS
   
• [16]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275

  Bentkus, V., Götze, F., & Paulauskas, V., 1996. Bounds for the accuracy of Poissonian approximations of stable laws. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 65(1), p 55-68.

  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), p 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), p 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), p 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), p 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), p 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), p 2062-2088.

  PUB | DOI | WoS
   
• [9]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467

  Bentkus, V., & Götze, F., 1993. ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES. PROBABILITY THEORY AND RELATED FIELDS, 96(2), p 137-151.

  PUB | DOI | WoS
   
• [8]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732

  Bolthausen, E., & Götze, F., 1993. THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS. ANNALS OF STATISTICS, 21(4), p 1692-1710.

  PUB | DOI | WoS
   
• [7]
  

  1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810

  Götze, F., 1991. ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT. ANNALS OF PROBABILITY, 19(2), p 724-739.

  PUB | DOI | WoS
   
• [6]
  

  1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279

  Götze, F., & Hipp, C., 1990. LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD. ANNALS OF PROBABILITY, 18(2), p 810-828.

  PUB | DOI | WoS
   
• [5]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233

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

  PUB | DOI | WoS
   
• [4]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749

  Götze, F., & HIPP, C., 1989. ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS. PROBABILITY THEORY AND RELATED FIELDS, 82(3), p 349-370.

  PUB | DOI | WoS
   
• [3]
  

  1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159

  Götze, F., 1987. APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS. JOURNAL OF MULTIVARIATE ANALYSIS, 22(2), p 212-229.

  PUB | DOI | WoS
   
• [2]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485

  Götze, F., 1986. ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES. ANNALS OF PROBABILITY, 14(3), p 922-942.

  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), p 1463-1484.

  PUB | DOI | WoS