PUB - Publikationen an der Universität Bielefeld

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• [148]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984564

  Götze, F., and 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., and 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., and 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: 2961330

  Buterus, P., Götze, F., Hille, T., and Margulis, G. (2022). Distribution of values of quadratic forms at integral points. Inventiones Mathematicae 227.

  PUB | PDF | DOI | WoS
   
• [144]
  

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

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

  PUB | PDF | DOI | WoS
   
• [143]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210

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

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

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963454

  Götze, F., and 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, 1-16.

  PUB | DOI | WoS
   
• [141]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961326

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

  PUB | DOI | WoS
   
• [140]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962433

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

  PUB | DOI | WoS
   
• [139]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960439

  Bickel, P., Fiocco, M., de Gunst, M., and Götze, F. (2021). Willem van Zwet’s research. Annals of Statistics 49, 2439-2447.

  PUB | DOI | WoS
   
• [138]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955377

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

  PUB | DOI | WoS
   
• [136]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955131

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

  PUB | DOI | WoS
   
• [132]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945598

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

  PUB | DOI | WoS
   
• [131]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945437

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

  PUB | DOI | WoS
   
• [130]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945466

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

  PUB | DOI | WoS
   
• [129]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945467

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

  PUB | DOI | WoS
   
• [128]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944785

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

  PUB | DOI | WoS
   
• [127]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946631

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

  PUB | DOI | WoS
   
• [126]
  

  2019 | Preprint | PUB-ID: 2934694

  Baumeister, B., Bux, K. - U., Götze, F., Kielak, D., and Krause, H. (2019). Non-crossing partitions. arXiv:1903.01146.

  PUB | arXiv
   
• [125]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723

  Götze, F., Naumov, A., Spokoiny, V., and Ulyanov, V. (2019). Large ball probabilities, Gaussian comparison and anti-concentration. Bernoulli 25, 2538-2563.

  PUB | DOI | WoS | arXiv
   
• [124]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874

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

  PUB | DOI | WoS
   
• [123]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941909

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

  PUB | DOI | WoS
   
• [122]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741

  Götze, F., Sambale, H., and 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., and Götze, F. (2019). Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I. IEEE Transactions on Information Theory 65, 5283-5293.

  PUB | DOI | WoS
   
• [120]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036

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

  PUB | DOI | WoS
   
• [119]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956

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

  PUB | DOI | WoS
   
• [118]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538

  Bobkov, S. G., Chistyakov, G., and 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., Naumov, A., Tikhomirov, A., and Timushev, D. (2018). On the local semicircular law for Wigner ensembles. BERNOULLI 24, 2358-2400.

  PUB | DOI | WoS
   
• [116]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353

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

  PUB | DOI | WoS
   
• [115]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708

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

  PUB | DOI | WoS
   
• [114]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354

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

  PUB | DOI | WoS
   
• [113]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279

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

  PUB | DOI | WoS
   
• [112]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434

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

  PUB | DOI | WoS
   
• [111]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113

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

  PUB | DOI | WoS
   
• [110]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993

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

  PUB | DOI | WoS
   
• [109]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474

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

  PUB | DOI | WoS
   
• [108]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145

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

  PUB | DOI | WoS
   
• [107]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422

  Götze, F., Kaliada, D., and Zaporozhets, D. (2017). DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145, 61-71.

  PUB | DOI | WoS
   
• [106]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051

  Götze, F., Naumov, A. A., and Tikhomirov, A. N. (2017). Local Laws for Non-Hermitian Random Matrices. DOKLADY MATHEMATICS 96, 558-560.

  PUB | DOI | WoS
   
• [105]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683

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

  PUB | DOI | WoS
   
• [104]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070

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

  PUB | DOI | WoS
   
• [103]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426

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

  PUB | DOI | WoS
   
• [102]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156

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

  PUB | DOI | WoS
   
• [101]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838

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

  PUB | DOI | WoS
   
• [100]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110

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

  PUB | DOI | WoS
   
• [99]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095

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

  PUB | DOI | WoS
   
• [98]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096

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

  PUB | DOI | WoS
   
• [97]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385

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

  PUB | DOI | WoS
   
• [96]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675

  Baake, M., Götze, F., Huck, C., and Jakobi, T. (2014). Radial spacing distributions from planar point sets. Acta crystallographica. Section A, Foundations and advances 70, 472-482.

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

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899

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

  PUB | DOI | WoS
   
• [94]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420

  Budarina, N. V., and Götze, F. (2014). Distance between conjugate algebraic numbers in clusters. Mathematical Notes 94, 816-819.

  PUB | DOI | WoS
   
• [93]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611

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

  PUB | DOI | WoS
   
• [92]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496

  Bobkov, S. G., Chistyakov, G. P., and Götze, F. (2014). Fisher information and convergence to stable laws. Bernoulli 20, 1620-1646.

  PUB | DOI | WoS
   
• [91]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064

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

  PUB | DOI | WoS
   
• [90]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735

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

  PUB | DOI | WoS
   
• [89]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719

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

  PUB | DOI | WoS
   
• [88]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746

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

  PUB | DOI | WoS
   
• [87]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355

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

  PUB | DOI | WoS
   
• [86]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112

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

  PUB | DOI | WoS
   
• [85]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752

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

  PUB | DOI | WoS
   
• [84]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882

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

  PUB | DOI | WoS
   
• [83]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178

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

  PUB | DOI | WoS
   
• [82]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291

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

  PUB | DOI | WoS
   
• [81]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214

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

  PUB | WoS
   
• [80]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738

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

  PUB | DOI | WoS
   
• [79]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956

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

  PUB | DOI | WoS
   
• [78]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372

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

  PUB | DOI | WoS
   
• [77]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392

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

  PUB | DOI | WoS
   
• [76]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346

  Bloznelis, M., Götze, F., Paulauskas, V., Rackauskas, A., and van Zwet, W. (2010). VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM. Lithuanian Mathematical Journal 50, 367-371.

  PUB | DOI | WoS
   
• [75]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793

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

  PUB | DOI | WoS
   
• [74]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477

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

  PUB | DOI | WoS
   
• [73]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101

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

  PUB | DOI | WoS
   
• [72]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254

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

  PUB | DOI | WoS
   
• [71]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544

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

  PUB | DOI | WoS
   
• [70]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517

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

  PUB | DOI | WoS
   
• [69]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158

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

  PUB | DOI | WoS
   
• [68]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382

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

  PUB | DOI | WoS
   
• [67]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216

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

  PUB | DOI | WoS
   
• [66]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941

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

  PUB | DOI | WoS
   
• [65]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325

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

  PUB | DOI | WoS
   
• [64]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003

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

  PUB | DOI | WoS
   
• [63]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665

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

  PUB | DOI | WoS
   
• [62]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843

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

  PUB | DOI | WoS
   
• [61]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316

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

  PUB | DOI | WoS
   
• [60]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660

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

  PUB | DOI | WoS
   
• [59]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320

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

  PUB | DOI | WoS
   
• [58]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582

  Bogatyrev, S. A., Götze, F., and 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, 2041-2056.

  PUB | DOI | WoS
   
• [57]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422

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

  PUB | DOI | WoS
   
• [56]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155

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

  PUB | DOI | WoS
   
• [55]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986

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

  PUB | DOI | WoS
   
• [54]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044

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

  PUB | DOI | WoS
   
• [53]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107

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

  PUB
   
• [52]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103

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

  PUB | DOI | WoS
   
• [51]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262

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

  PUB | DOI | WoS
   
• [49]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373

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

  PUB | DOI | WoS
   
• [48]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739

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

  PUB | DOI | WoS
   
• [47]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272

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

  PUB | DOI | WoS
   
• [46]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604

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

  PUB | DOI | WoS
   
• [45]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886

  Bloznelis, M., and Götze, F. (2002). An Edgeworth expansion for symmetric finite population statistics. ANNALS OF PROBABILITY 30, 1238-1265.

  PUB | WoS
   
• [44]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095

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

  PUB | DOI | WoS
   
• [43]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874

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

  PUB | WoS
   
• [42]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478

  Bentkus, V., and Götze, F. (2001). Lattice points in multidimensional bodies. FORUM MATHEMATICUM 13, 149-225.

  PUB | DOI | WoS
   
• [41]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879

  Bobkov, S. G., Götze, F., and Houdre, C. (2001). On Gaussian and Bernoulli covariance representations. BERNOULLI 7, 439-451.

  PUB | DOI | WoS
   
• [40]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952

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

  PUB | WoS
   
• [39]
  

  2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181

  Bloznelis, M., and Götze, F. (2000). An edgeworth expansion for finite-population U-statistics. BERNOULLI 6, 729-760.

  PUB | DOI | WoS
   
• [38]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548

  Bobkov, S. G., and Götze, F. (1999). Discrete isoperimetric and Poincare-type inequalities. PROBABILITY THEORY AND RELATED FIELDS 114, 245-277.

  PUB | DOI | WoS
   
• [37]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558

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

  PUB | DOI | WoS
   
• [36]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192

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

  PUB | DOI | WoS
   
• [35]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221

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

  PUB | DOI | WoS
   
• [34]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247

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

  PUB | DOI | WoS
   
• [33]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394

  Götze, F., and Tikhomirov, A. N. (1999). Asymptotic distribution of quadratic forms. ANNALS OF PROBABILITY 27, 1072-1098.

  PUB | WoS
   
• [32]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331

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

  PUB | DOI | WoS
   
• [31]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472

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

  PUB | DOI | WoS
   
• [30]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190

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

  PUB | DOI | WoS
   
• [29]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531

  Bobkov, S. G., and Götze, F. (1998). On moments of polynomials. THEORY OF PROBABILITY AND ITS APPLICATIONS 42, 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, 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, 648.

  PUB
   
• [26]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480

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

  PUB | DOI | WoS
   
• [25]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616

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

  PUB | DOI | WoS
   
• [24]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698

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

  PUB | DOI | WoS
   
• [23]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842

  Bentkus, V., and Götze, F. (1997). On the lattice point problem for ellipsoids. ACTA ARITHMETICA 80, 101-125.

  PUB | WoS
   
• [22]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466

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

  PUB | WoS
   
• [21]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025

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

  PUB | WoS
   
• [20]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340

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

  PUB | WoS
   
• [19]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303

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

  PUB | DOI | WoS
   
• [18]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391

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

  PUB | DOI | WoS
   
• [17]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739

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

  PUB | DOI | WoS
   
• [16]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275

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

  PUB | DOI | WoS
   
• [15]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184

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

  PUB | WoS
   
• [14]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950

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

  PUB | WoS
   
• [13]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947

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

  PUB | WoS
   
• [12]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785

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

  PUB | WoS
   
• [11]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293

  Bentkus, V., and Götze, F. (1995). ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS. DOKLADY AKADEMII NAUK 343, 439-440.

  PUB | WoS
   
• [10]
  

  1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122

  Götze, F., and Hipp, C. (1994). ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES. ANNALS OF STATISTICS 22, 2062-2088.

  PUB | DOI | WoS
   
• [9]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467

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

  PUB | DOI | WoS
   
• [8]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732

  Bolthausen, E., and Götze, F. (1993). THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS. ANNALS OF STATISTICS 21, 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, 724-739.

  PUB | DOI | WoS
   
• [6]
  

  1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279

  Götze, F., and Hipp, C. (1990). LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD. ANNALS OF PROBABILITY 18, 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, 1602-1634.

  PUB | DOI | WoS
   
• [4]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749

  Götze, F., and HIPP, C. (1989). ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS. PROBABILITY THEORY AND RELATED FIELDS 82, 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, 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, 922-942.

  PUB | DOI | WoS
   
• [1]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885

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

  PUB | DOI | WoS