PUB - Publikationen an der Universität Bielefeld

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• [148]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984564

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

  PUB | DOI | WoS
   
• [147]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2981953

  Bobkov, S.G.G., Chistyakov, G., Götze, F.: Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal. (2023).

  PUB | DOI | WoS
   
• [146]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980945

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

  PUB | DOI | WoS
   
• [145]
  

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

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

  PUB | PDF | DOI | WoS
   
• [144]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210

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

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

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963454

  Götze, F., Zaitsev, Y.: 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 (2022).

  PUB | DOI | WoS
   
• [142]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961326

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

  PUB | DOI | WoS
   
• [141]
  

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

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

  PUB | DOI | WoS
   
• [140]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962433

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

  PUB | DOI | WoS
   
• [139]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960439

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

  PUB | DOI | WoS
   
• [138]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955377

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

  PUB | DOI | WoS | arXiv
   
• [137]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957345

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

  PUB | DOI | WoS
   
• [136]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955131

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

  PUB | DOI | WoS
   
• [135]
  

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

  Götze, F., Sambale, H., Sinulis, A.: 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

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

  PUB | DOI | WoS
   
• [133]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945600

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

  PUB | DOI | WoS
   
• [132]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945598

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

  PUB | DOI | WoS
   
• [131]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945437

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

  PUB | DOI | WoS
   
• [130]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945466

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

  PUB | DOI | WoS
   
• [129]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945467

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

  PUB | DOI | WoS
   
• [128]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944785

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

  PUB | DOI | WoS
   
• [127]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946631

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

  PUB | DOI | WoS
   
• [126]
  

  2019 | Preprint | PUB-ID: 2934694

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

  PUB | arXiv
   
• [125]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723

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

  PUB | DOI | WoS | arXiv
   
• [124]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874

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

  PUB | DOI | WoS
   
• [123]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941909

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

  PUB | DOI | WoS
   
• [122]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741

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

  PUB | DOI | WoS
   
• [121]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338

  Bobkov, S.G., Chistyakov, G., Götze, F.: Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I. IEEE Transactions on Information Theory. 65, 5283-5293 (2019).

  PUB | DOI | WoS
   
• [120]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036

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

  PUB | DOI | WoS
   
• [119]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956

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

  PUB | DOI | WoS
   
• [118]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538

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

  PUB | DOI | WoS
   
• [117]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644

  Götze, F., Naumov, A., Tikhomirov, A., Timushev, D.: On the local semicircular law for Wigner ensembles. BERNOULLI. 24, 2358-2400 (2018).

  PUB | DOI | WoS
   
• [116]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353

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

  PUB | DOI | WoS
   
• [115]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708

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

  PUB | DOI | WoS
   
• [114]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354

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

  PUB | DOI | WoS
   
• [113]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279

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

  PUB | DOI | WoS
   
• [112]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434

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

  PUB | DOI | WoS
   
• [111]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113

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

  PUB | DOI | WoS
   
• [110]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993

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

  PUB | DOI | WoS
   
• [109]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474

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

  PUB | DOI | WoS
   
• [108]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145

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

  PUB | DOI | WoS
   
• [107]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422

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

  PUB | DOI | WoS
   
• [106]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051

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

  PUB | DOI | WoS
   
• [105]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683

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

  PUB | DOI | WoS
   
• [104]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070

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

  PUB | DOI | WoS
   
• [103]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426

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

  PUB | DOI | WoS
   
• [102]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156

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

  PUB | DOI | WoS
   
• [101]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838

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

  PUB | DOI | WoS
   
• [100]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110

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

  PUB | DOI | WoS
   
• [99]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095

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

  PUB | DOI | WoS
   
• [98]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096

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

  PUB | DOI | WoS
   
• [97]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385

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

  PUB | DOI | WoS
   
• [96]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675

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

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

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899

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

  PUB | DOI | WoS
   
• [94]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420

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

  PUB | DOI | WoS
   
• [93]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611

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

  PUB | DOI | WoS
   
• [92]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496

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

  PUB | DOI | WoS
   
• [91]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064

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

  PUB | DOI | WoS
   
• [90]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735

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

  PUB | DOI | WoS
   
• [89]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719

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

  PUB | DOI | WoS
   
• [88]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746

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

  PUB | DOI | WoS
   
• [87]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355

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

  PUB | DOI | WoS
   
• [86]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112

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

  PUB | DOI | WoS
   
• [85]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752

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

  PUB | DOI | WoS
   
• [84]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882

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

  PUB | DOI | WoS
   
• [83]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178

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

  PUB | DOI | WoS
   
• [82]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291

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

  PUB | DOI | WoS
   
• [81]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214

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

  PUB | WoS
   
• [80]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738

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

  PUB | DOI | WoS
   
• [79]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956

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

  PUB | DOI | WoS
   
• [78]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372

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

  PUB | DOI | WoS
   
• [77]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392

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

  PUB | DOI | WoS
   
• [76]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346

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

  PUB | DOI | WoS
   
• [75]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793

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

  PUB | DOI | WoS
   
• [74]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477

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

  PUB | DOI | WoS
   
• [73]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101

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

  PUB | DOI | WoS
   
• [72]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254

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

  PUB | DOI | WoS
   
• [71]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544

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

  PUB | DOI | WoS
   
• [70]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517

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

  PUB | DOI | WoS
   
• [69]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158

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

  PUB | DOI | WoS
   
• [68]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382

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

  PUB | DOI | WoS
   
• [67]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216

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

  PUB | DOI | WoS
   
• [66]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941

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

  PUB | DOI | WoS
   
• [65]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325

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

  PUB | DOI | WoS
   
• [64]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003

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

  PUB | DOI | WoS
   
• [63]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665

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

  PUB | DOI | WoS
   
• [62]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843

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

  PUB | DOI | WoS
   
• [61]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316

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

  PUB | DOI | WoS
   
• [60]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660

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

  PUB | DOI | WoS
   
• [59]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320

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

  PUB | DOI | WoS
   
• [58]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582

  Bogatyrev, S.A., Götze, F., Ulyanov, V.V.: Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space. JOURNAL OF MULTIVARIATE ANALYSIS. 97, 2041-2056 (2006).

  PUB | DOI | WoS
   
• [57]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422

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

  PUB | DOI | WoS
   
• [56]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155

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

  PUB | DOI | WoS
   
• [55]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986

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

  PUB | DOI | WoS
   
• [54]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044

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

  PUB | DOI | WoS
   
• [53]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107

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

  PUB
   
• [52]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103

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

  PUB | DOI | WoS
   
• [51]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262

  Chistyakov, G., Götze, F.: Limit distributions of studentized means. ANNALS OF PROBABILITY. 32, 28-77 (2004).

  PUB | WoS
   
• [50]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761

  Götze, F.: Lattice point problems and values of quadratic forms. INVENTIONES MATHEMATICAE. 157, 195-226 (2004).

  PUB | DOI | WoS
   
• [49]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373

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

  PUB | DOI | WoS
   
• [48]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739

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

  PUB | DOI | WoS
   
• [47]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272

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

  PUB | DOI | WoS
   
• [46]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604

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

  PUB | DOI | WoS
   
• [45]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886

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

  PUB | WoS
   
• [44]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095

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

  PUB | DOI | WoS
   
• [43]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874

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

  PUB | WoS
   
• [42]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478

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

  PUB | DOI | WoS
   
• [41]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879

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

  PUB | DOI | WoS
   
• [40]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952

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

  PUB | WoS
   
• [39]
  

  2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181

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

  PUB | DOI | WoS
   
• [38]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548

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

  PUB | DOI | WoS
   
• [37]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558

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

  PUB | DOI | WoS
   
• [36]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192

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

  PUB | DOI | WoS
   
• [35]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221

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

  PUB | DOI | WoS
   
• [34]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247

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

  PUB | DOI | WoS
   
• [33]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394

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

  PUB | WoS
   
• [32]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331

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

  PUB | DOI | WoS
   
• [31]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472

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

  PUB | DOI | WoS
   
• [30]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190

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

  PUB | DOI | WoS
   
• [29]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531

  Bobkov, S.G., Götze, F.: On moments of polynomials. THEORY OF PROBABILITY AND ITS APPLICATIONS. 42, 518-A520 (1998).

  PUB | DOI | WoS
   
• [28]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483

  Götze, F.: Lattice point problems and the central limit theorem in Euclidean spaces. Documenta Mathematica. 1998, 245-255 (1998).

  PUB
   
• [27]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278

  Götze, F.: Errata: "Lattice point problems and the central limit theorem in Euclidean spaces". Documenta Mathematica. 1998, 648 (1998).

  PUB
   
• [26]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480

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

  PUB | DOI | WoS
   
• [25]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616

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

  PUB | DOI | WoS
   
• [24]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698

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

  PUB | DOI | WoS
   
• [23]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842

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

  PUB | WoS
   
• [22]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466

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

  PUB | WoS
   
• [21]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025

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

  PUB | WoS
   
• [20]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340

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

  PUB | WoS
   
• [19]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303

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

  PUB | DOI | WoS
   
• [18]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391

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

  PUB | DOI | WoS
   
• [17]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739

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

  PUB | DOI | WoS
   
• [16]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275

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

  PUB | DOI | WoS
   
• [15]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184

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

  PUB | WoS
   
• [14]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950

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

  PUB | WoS
   
• [13]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947

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

  PUB | WoS
   
• [12]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785

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

  PUB | WoS
   
• [11]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293

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

  PUB | WoS
   
• [10]
  

  1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122

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

  PUB | DOI | WoS
   
• [9]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467

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

  PUB | DOI | WoS
   
• [8]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732

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

  PUB | DOI | WoS
   
• [7]
  

  1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810

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

  PUB | DOI | WoS
   
• [6]
  

  1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279

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

  PUB | DOI | WoS
   
• [5]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233

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

  PUB | DOI | WoS
   
• [4]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749

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

  PUB | DOI | WoS
   
• [3]
  

  1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159

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

  PUB | DOI | WoS
   
• [2]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485

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

  PUB | DOI | WoS
   
• [1]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885

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

  PUB | DOI | WoS