PUB - Publikationen an der Universität Bielefeld

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• [151]
  

  2025 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 3002086

  Bobkov, Sergey G., and Götze, Friedrich. 2025. “Berry-Esseen bounds in the local limit theorems”. Lithuanian Mathematical Journal .

  PUB | DOI | WoS
   
• [150]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990764

  Feng, Renjie, Götze, Friedrich, and Yao, Dong. 2024. “Smallest gaps between zeros of stationary Gaussian processes”. Journal of Functional Analysis 287 (4): 110493.

  PUB | DOI | WoS
   
• [149]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990002

  Bobkov, S. G., Chistyakov, G. P., and Götze, Friedrich. 2024. “Strictly subgaussian probability distributions”. Electronic Journal of Probability 29: 62.

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• [148]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2981953

  Bobkov, Sergey G. G., Chistyakov, Gennadiy, and Götze, Friedrich. 2023. “Richter's local limit theorem, its refinement, and related results*”. Lithuanian Mathematical Journal 63 (2): 138–160.

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• [147]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984564

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

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• [146]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980945

  Götze, Friedrich, and Sambale, Holger. 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, Friedrich, Hille, T., and Margulis, G. 2022. “Distribution of values of quadratic forms at integral points”. Inventiones Mathematicae 227.

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• [144]
  

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

  Bloznelis, Mindaugas, and Götze, Friedrich. 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, Friedrich, and Zaitsev, Andrei Yu. 2022. “A New Bound in the Littlewood–Offord Problem”. Mathematics 10 (10): 1740.

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

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963454

  Götze, Friedrich, and Zaitsev, Yu. 2022. “On Alternative Approximating Distributions in the Multivariate Version of Kolmogorov's Second Uniform Limit Theorem”. Theory of Probability and its Applications : a publication of the Society for Industrial and Applied Mathematics 67 (1): 1-16.

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• [141]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961326

  Chistyakov, Gennadiy, and Götze, Friedrich. 2022. “Approximation of Free Convolutions by Free Infinitely Divisible Laws”. Theory of Probability and its Applications 66 (4): 640-667.

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• [140]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962433

  Götze, Friedrich, Timushev, D. A., and Tikhomirov, A. N. 2021. “Local Marchenko-Pastur Law for Sparse Rectangular Random Matrices”. Doklady Mathematics 104 (3): 332-335.

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• [139]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960439

  Bickel, Peter, Fiocco, Marta, de Gunst, Mathisca, and Götze, Friedrich. 2021. “Willem van Zwet’s research”. Annals of Statistics 49 (5): 2439-2447.

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• [138]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955377

  Akemann, Gernot, Götze, Friedrich, and Neuschel, Thorsten. 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, Friedrich, and Jalowy, Jonas. 2021. “Rate of convergence to the Circular Law via smoothing inequalities for log-potentials”. Random Matrices: Theory and Applications 10 (3): 2150026.

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• [136]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955131

  Götze, Friedrich, Sambale, Holger, and Sinulis, Arthur. 2021. “Concentration inequalities for polynomials in alpha-sub-exponential random variables”. Electronic Journal of Probability 26: 48.

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• [135]
  

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

  Götze, Friedrich, Sambale, Holger, and Sinulis, Arthur. 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, Gennadiy, and Götze, Friedrich. 2020. “Poincare inequalities and normal approximation for weighted sums”. Electronic Journal of Probability 25: 155.

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• [133]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945600

  Götze, Friedrich, Naumov, Alexey, and Tikhomirov, Alexander. 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, Friedrich, and Gusakova, Anna. 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, Friedrich, Naumov, A., and Tikhomirov, A. 2020. “Local Semicircle Law Under Fourth Moment Condition”. JOURNAL OF THEORETICAL PROBABILITY 33 (3): 1327-1362.

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• [130]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945466

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

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• [129]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945467

  Dzindzalieta, D., and Götze, Friedrich. 2020. “HALF-SPACES WITH INFLUENTIAL VARIABLE”. THEORY OF PROBABILITY AND ITS APPLICATIONS 65 (1): 114-120.

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• [128]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944785

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. 2020. “NORMAL APPROXIMATION FOR WEIGHTED SUMS UNDER A SECOND-ORDER CORRELATION CONDITION”. ANNALS OF PROBABILITY 48 (3): 1202-1219.

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• [127]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946631

  Götze, Friedrich, Gusakova, Anna, and Zaporozhets, Dmitry. 2019. “Random affine simplexes”. Journal of Applied Probability 56 (01): 39-51.

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• [126]
  

  2019 | Preprint | PUB-ID: 2934694

  Baumeister, Barbara, Bux, Kai-Uwe, Götze, Friedrich, Kielak, Dawid, and Krause, Henning. 2019. “Non-crossing partitions”. arXiv:1903.01146.

  PUB | arXiv
   
• [125]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723

  Götze, Friedrich, Naumov, Alexey, Spokoiny, Vladimir, and Ulyanov, Vladimir. 2019. “Large ball probabilities, Gaussian comparison and anti-concentration”. Bernoulli 25 (4A): 2538-2563.

  PUB | DOI | WoS | arXiv
   
• [124]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874

  Bobkov, Sergey C., Götze, Friedrich, and Sambale, Holger. 2019. “Higher order concentration of measure”. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21 (3): 1850043.

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• [123]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941909

  Bobkov, Sergey G., Chistyakov, Gennadiy, and Götze, Friedrich. 2019. “Nonuniform bounds in the Poisson approximation with applications to informational distances. II”. LITHUANIAN MATHEMATICAL JOURNAL 59 (4): 469-497.

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• [122]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741

  Götze, Friedrich, Sambale, Holger, and Sinulis, Arthur. 2019. “Higher order concentration for functions of weakly dependent random variables”. Electronic Journal of Probability 24: 85.

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• [121]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. 2019. “Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I”. IEEE Transactions on Information Theory 65 (9): 5283-5293.

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• [120]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036

  Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. 2019. “On Optimal Bounds in the Local Semicircle Law under Four Moment Condition”. DOKLADY MATHEMATICS 99 (1): 40-43.

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• [119]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. 2019. “RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM”. ANNALS OF PROBABILITY 47 (1): 270-323.

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• [118]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. 2018. “Berry-Esseen bounds for typical weighted sums”. Electronic Journal of Probability 23: 92.

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• [117]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644

  Götze, Friedrich, Naumov, Alexey, Tikhomirov, Alexander, and Timushev, Dmitry. 2018. “On the local semicircular law for Wigner ensembles”. BERNOULLI 24 (3): 2358-2400.

  PUB | DOI | WoS
   
• [116]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353

  Götze, Friedrich, 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 (1): 58-83.

  PUB | DOI | WoS
   
• [115]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708

  Götze, Friedrich, Eliseeva, Yu S., and Zaitsev, A. Yu. 2018. “ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62 (2): 196-215.

  PUB | DOI | WoS
   
• [114]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354

  Prokhorov, Yu. V., Götze, Friedrich, and Ulyanov, V. V. 2018. “ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62 (1): 98-116.

  PUB | DOI | WoS
   
• [113]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279

  Götze, Friedrich, and Zaitsev, Andrei Yu. 2018. “New applications of Arak's inequalities to the Littlewood-Offord problem”. EUROPEAN JOURNAL OF MATHEMATICS 4 (2): 639-663.

  PUB | DOI | WoS
   
• [112]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434

  Götze, Friedrich, Naumov, Alexey, and Tikhomirov, Alexander. 2017. “Distribution of linear statistics of singular values of the product of random matrices”. Bernoulli 23 (4B): 3067-3113.

  PUB | DOI | WoS
   
• [111]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113

  Götze, Friedrich, and Gusakova, Anna. 2017. “On algebraic integers in short intervals and near smooth curves”. ACTA ARITHMETICA 179 (3): 251-265.

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• [110]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993

  Bernik, Vasili, Budarina, Natalia, and Götze, Friedrich. 2017. “Exact upper bounds for the number of the polynomials with given discriminants”. LITHUANIAN MATHEMATICAL JOURNAL 57 (3): 283-293.

  PUB | DOI | WoS
   
• [109]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474

  Götze, Friedrich, Naumov, A., and Ulyanov, V. 2017. “Asymptotic Analysis of Symmetric Functions”. JOURNAL OF THEORETICAL PROBABILITY 30 (3): 876-897.

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• [108]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145

  Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. 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, Friedrich, Kaliada, Dzianis, and Zaporozhets, Dmitry. 2017. “DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS”. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145 (1): 61-71.

  PUB | DOI | WoS
   
• [106]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051

  Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. 2017. “Local Laws for Non-Hermitian Random Matrices”. DOKLADY MATHEMATICS 96 (3): 558-560.

  PUB | DOI | WoS
   
• [105]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683

  Beresnevich, Victor, Bernik, Vasili, and Götze, Friedrich. 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, Friedrich, and Tikhomirov, A. 2016. “Optimal bounds for convergence of expected spectral distributions to the semi-circular law”. PROBABILITY THEORY AND RELATED FIELDS 165 (1-2): 163-233.

  PUB | DOI | WoS
   
• [103]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426

  Bobkov, S. G., Chistyakov, G. P., and Götze, Friedrich. 2016. “Regularized distributions and entropic stability of Cramer's characterization of the normal law”. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126 (12): 3865-3887.

  PUB | DOI | WoS
   
• [102]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156

  Götze, Friedrich, Eliseeva, Yu. S., and Zaitsev, A. Yu. 2016. “Arak's inequalities for concentration functions and the Littlewood-Offord problem”. DOKLADY MATHEMATICS 93 (2): 202-206.

  PUB | DOI | WoS
   
• [101]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838

  Götze, Friedrich, Naumov, A., and 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, Friedrich, 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 (1): 23-39.

  PUB | DOI | WoS
   
• [99]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095

  Götze, Friedrich, Naumov, A., and 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, Friedrich, Kösters, Holger, and Tikhomirov, Alexander. 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., and Götze, Friedrich. 2015. “Distribution of real algebraic numbers of arbitrary degree in short intervals”. Izvestiya Mathematics 79 (1): 18-39.

  PUB | DOI | WoS
   
• [96]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675

  Baake, Michael, Götze, Friedrich, Huck, Christian, and Jakobi, Tobias. 2014. “Radial spacing distributions from planar point sets”. Acta crystallographica. Section A, Foundations and advances 70 (Pt 5): 472-482.

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

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899

  Götze, Friedrich, and Zaitsev, Andrei Yu. 2014. “EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS”. The Annals of Probability 42 (1): 354-397.

  PUB | DOI | WoS
   
• [94]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420

  Budarina, N. V., and Götze, Friedrich. 2014. “Distance between conjugate algebraic numbers in clusters”. Mathematical Notes 94 (5-6): 816-819.

  PUB | DOI | WoS
   
• [93]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611

  Götze, Friedrich, and Venker, Martin. 2014. “LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES”. The Annals of Probability 42 (6): 2207-2242.

  PUB | DOI | WoS
   
• [92]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496

  Bobkov, S. G., Chistyakov, G. P., and Götze, Friedrich. 2014. “Fisher information and convergence to stable laws”. Bernoulli 20 (3): 1620-1646.

  PUB | DOI | WoS
   
• [91]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064

  Bernik, Vasilii, Götze, Friedrich, and Kukso, Olga. 2014. “On algebraic points in the plane near smooth curves”. Lithuanian Mathematical Journal 54 (3): 231-251.

  PUB | DOI | WoS
   
• [90]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735

  Bobkov, Sergey G., Chistyakov, Gennadiy, and Götze, Friedrich. 2014. “Berry-Esseen bounds in the entropic central limit theorem”. Probability Theory and Related Fields 159 (3-4): 435-478.

  PUB | DOI | WoS
   
• [89]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719

  Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. 2014. “Fisher information and the central limit theorem”. Probability Theory and Related Fields 159 (1-2): 1-59.

  PUB | DOI | WoS
   
• [88]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746

  Bloznelis, Mindaugas, and Götze, Friedrich. 2014. “Preferred Attachment in Affiliation Networks”. Journal of Statistical Physics 156 (4): 800-821.

  PUB | DOI | WoS
   
• [87]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355

  Kaliada, Dzianis, Götze, Friedrich, and Kukso, Olga. 2014. “The asymptotic number of integral cubic polynomials with bounded heights and discriminants”. Lithuanian Mathematical Journal 54 (2): 150-165.

  PUB | DOI | WoS
   
• [86]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112

  Götze, Friedrich, and Van Zwet, W. R. 2013. “THE TIMES OF YURI VASILYEVICH PROKHOROV”. Theory Of Probability & Its Applications 57 (2): 306-322.

  PUB | DOI | WoS
   
• [85]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. 2013. “Convergence to Stable Laws in Relative Entropy”. Journal Of Theoretical Probability 26 (3): 803-818.

  PUB | DOI | WoS
   
• [84]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882

  Chistyakov, Gennadiy, and Götze, Friedrich. 2013. “Asymptotic expansions in the CLT in free probability”. Probability Theory And Related Fields 157 (1-2): 107-156.

  PUB | DOI | WoS
   
• [83]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. 2013. “STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS”. Theory Of Probability & Its Applications 57 (4): 568-588.

  PUB | DOI | WoS
   
• [82]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291

  Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. 2013. “RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM”. The Annals Of Probability 41 (4): 2479-2512.

  PUB | DOI | WoS
   
• [81]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214

  Bloznelis, Mindaugas, Götze, Friedrich, and Jaworski, Jerzy. 2012. “BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH”. Journal of Applied Probability 49 (3): 601-611.

  PUB | WoS
   
• [80]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738

  Götze, Friedrich, and Zaporozhets, D. 2012. “ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS”. Theory Of Probability & Its Applications 56 (4): 696-U217.

  PUB | DOI | WoS
   
• [79]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. 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, Gennadiy, Götze, Friedrich, and Lehner, F. 2011. “Freeness of linear and quadratic forms in von Neumann algebras”. Journal of Functional Analysis 261 (10): 2829-2844.

  PUB | DOI | WoS
   
• [77]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392

  Chistyakov, Gennadiy, and Götze, Friedrich. 2011. “The arithmetic of distributions in free probability theory”. Central European Journal of Mathematics 9 (5): 997-1050.

  PUB | DOI | WoS
   
• [76]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346

  Bloznelis, M., Götze, Friedrich, Paulauskas, V., Rackauskas, A., and van Zwet, W. 2010. “VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM”. Lithuanian Mathematical Journal 50 (4): 367-371.

  PUB | DOI | WoS
   
• [75]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793

  Alexeev, N., Götze, Friedrich, and Tikhomirov, Alexander. 2010. “ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES”. LITHUANIAN MATHEMATICAL JOURNAL 50 (2): 121-132.

  PUB | DOI | WoS
   
• [74]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477

  Bobkov, S. G., Götze, Friedrich, and Tikhomirov, A. N. 2010. “On Concentration of Empirical Measures and Convergence to the Semi-circle Law”. JOURNAL OF THEORETICAL PROBABILITY 23 (3): 792-823.

  PUB | DOI | WoS
   
• [73]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101

  Götze, Friedrich, and Tikhomirov, Alexander. 2010. “THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 54 (1): 129-U7.

  PUB | DOI | WoS
   
• [72]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254

  Alexeev, N. V., Götze, Friedrich, and Tikhomirov, A. N. 2010. “On the Singular Spectrum of Powers and Products of Random Matrices”. DOKLADY MATHEMATICS 82 (1): 505-507.

  PUB | DOI | WoS
   
• [71]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544

  Götze, Friedrich, and Tikhomirov, Alexander. 2010. “THE CIRCULAR LAW FOR RANDOM MATRICES”. ANNALS OF PROBABILITY 38 (4): 1444-1491.

  PUB | DOI | WoS
   
• [70]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517

  Bobkov, S. G., and Götze, Friedrich. 2010. “Concentration of empirical distribution functions with applications to non-i.i.d. models”. Bernoulli 16 (4): 1385-1414.

  PUB | DOI | WoS
   
• [69]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158

  Beresnevich, Victor, Bernik, Vasili, and Götze, Friedrich. 2010. “The distribution of close conjugate algebraic numbers”. COMPOSITIO MATHEMATICA 146 (5): 1165-1179.

  PUB | DOI | WoS
   
• [68]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382

  Götze, Friedrich, and Zaitsev, A. Yu. 2009. “BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE”. THEORY OF PROBABILITY AND ITS APPLICATIONS 53 (1): 59-80.

  PUB | DOI | WoS
   
• [67]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216

  Götze, Friedrich, and Kösters, Holger. 2009. “On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 285 (3): 1183-1205.

  PUB | DOI | WoS
   
• [66]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665

  Chistyakov, Gennadiy, and Götze, Friedrich. 2008. “Limit theorems in free probability theory II”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6 (1): 87-117.

  PUB | PDF | DOI | WoS
   
• [65]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941

  Bernik, Vasili, Götze, Friedrich, and Kukso, Olga. 2008. “Lower bounds for the number of integral polynomials with given order of discriminants”. ACTA ARITHMETICA 133 (4): 375-390.

  PUB | DOI | WoS
   
• [64]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325

  Bernik, V., Götze, Friedrich, and Kukso, O. 2008. “On the divisibility of the discriminant of an integral polynomial by prime powers”. LITHUANIAN MATHEMATICAL JOURNAL 48 (4): 380-396.

  PUB | DOI | WoS
   
• [63]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003

  Chistyakov, Gennadiy, and Götze, Friedrich. 2008. “Limit theorems in free probability theory I”. ANNALS OF PROBABILITY 36 (1): 54-90.

  PUB | DOI | WoS
   
• [62]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843

  Götze, Friedrich, and Gordin, Mikhail. 2008. “Limit correlation functions for fixed trace random matrix ensembles”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 281 (1): 203-229.

  PUB | DOI | WoS
   
• [61]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316

  Chistyakov, Gennadiy, and Götze, Friedrich. 2007. “Independence of linear forms with random coefficients”. PROBABILITY THEORY AND RELATED FIELDS 137 (1-2): 1-24.

  PUB | DOI | WoS
   
• [60]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660

  Götze, Friedrich, Tikhomirov, Alexander, and Timushev, Dmitry A. 2007. “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5 (2): 305-334.

  PUB | DOI | WoS
   
• [59]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320

  Bobkov, Sergey G., and Götze, Friedrich. 2007. “Concentration inequalities and limit theorems for randomized sums”. PROBABILITY THEORY AND RELATED FIELDS 137 (1-2): 49-81.

  PUB | DOI | WoS
   
• [58]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582

  Bogatyrev, S. A., Götze, Friedrich, 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 (9): 2041-2056.

  PUB | DOI | WoS
   
• [57]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422

  Götze, Friedrich, and Tikhomirov, A. N. 2006. “Limit theorems for spectra of random matrices with martingale structure”. THEORY OF PROBABILITY AND ITS APPLICATIONS 51 (1): 42-64.

  PUB | DOI | WoS
   
• [56]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155

  Götze, Friedrich, and Tikhomirov, AN. 2005. “Asymptotic expansions in non-central limit theorems for quadratic forms”. JOURNAL OF THEORETICAL PROBABILITY 18 (4): 757-811.

  PUB | DOI | WoS
   
• [55]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986

  Gine, E, and Götze, Friedrich. 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, Friedrich, and Tikhomirov, A. 2004. “Rate of convergence in probability to the Marchenko-Pastur law”. BERNOULLI 10 (3): 503-548.

  PUB | DOI | WoS
   
• [53]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107

  Götze, Friedrich, and Gordin, Mikhail. 2004. “Limiting distributions of theta series on Siegel half-spaces”. St. Petersburg mathematical journal 15 (1): 81-102.

  PUB
   
• [52]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103

  Chistyakov, Gennadiy, and Götze, Friedrich. 2004. “Distribution of the shape of Markovian random words”. PROBABILITY THEORY AND RELATED FIELDS 129 (1): 18-36.

  PUB | DOI | WoS
   
• [51]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262

  Chistyakov, Gennadiy, and Götze, Friedrich. 2004. “Limit distributions of studentized means”. ANNALS OF PROBABILITY 32 (1A): 28-77.

  PUB | WoS
   
• [50]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761

  Götze, Friedrich. 2004. “Lattice point problems and values of quadratic forms”. INVENTIONES MATHEMATICAE 157 (1): 195-226.

  PUB | DOI | WoS
   
• [49]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373

  Chistyakov, Gennadiy, and Götze, Friedrich. 2003. “On bounds for moderate deviations for student's statistic”. THEORY OF PROBABILITY AND ITS APPLICATIONS 48 (3): 528-535.

  PUB | DOI | WoS
   
• [48]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739

  Götze, Friedrich, and Tikhomirov, A. 2003. “Rate of convergence to the semi-circular law”. PROBABILITY THEORY AND RELATED FIELDS 127 (2): 228-276.

  PUB | DOI | WoS
   
• [47]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272

  Bobkov, SG, and Götze, Friedrich. 2003. “On the central limit theorem along subsequences of noncorrelated observations”. THEORY OF PROBABILITY AND ITS APPLICATIONS 48 (4): 604-621.

  PUB | DOI | WoS
   
• [46]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604

  Götze, Friedrich, and Tikhomirov, A. 2002. “Asymptotic distribution of quadratic forms and applications”. JOURNAL OF THEORETICAL PROBABILITY 15 (2): 423-475.

  PUB | DOI | WoS
   
• [45]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886

  Bloznelis, M, and Götze, Friedrich. 2002. “An Edgeworth expansion for symmetric finite population statistics”. ANNALS OF PROBABILITY 30 (3): 1238-1265.

  PUB | WoS
   
• [44]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095

  Chistyakov, Gennadiy, and Götze, Friedrich. 2002. “Moderate deviations for student's statistic”. THEORY OF PROBABILITY AND ITS APPLICATIONS 47 (3): 415-428.

  PUB | DOI | WoS
   
• [43]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874

  Götze, Friedrich, and Tikhomirov, AN. 2002. “Rate of convergence to the semicircular law for the Gaussian unitary ensemble”. THEORY OF PROBABILITY AND ITS APPLICATIONS 47 (2): 323-330.

  PUB | WoS
   
• [42]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478

  Bentkus, V, and Götze, Friedrich. 2001. “Lattice points in multidimensional bodies”. FORUM MATHEMATICUM 13 (2): 149-225.

  PUB | DOI | WoS
   
• [41]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879

  Bobkov, SG, Götze, Friedrich, and Houdre, C. 2001. “On Gaussian and Bernoulli covariance representations”. BERNOULLI 7 (3): 439-451.

  PUB | DOI | WoS
   
• [40]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952

  Bloznelis, M, and Götze, Friedrich. 2001. “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”. ANNALS OF STATISTICS 29 (3): 899-917.

  PUB | WoS
   
• [39]
  

  2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181

  Bloznelis, M, and Götze, Friedrich. 2000. “An edgeworth expansion for finite-population U-statistics”. BERNOULLI 6 (4): 729-760.

  PUB | DOI | WoS
   
• [38]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548

  Bobkov, SG, and Götze, Friedrich. 1999. “Discrete isoperimetric and Poincare-type inequalities”. PROBABILITY THEORY AND RELATED FIELDS 114 (2): 245-277.

  PUB | DOI | WoS
   
• [37]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558

  Bentkus, V, and Götze, Friedrich. 1999. “Lattice point problems and distribution of values of quadratic forms”. ANNALS OF MATHEMATICS 150 (3): 977-1027.

  PUB | DOI | WoS
   
• [36]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192

  Bloznelis, M, and Götze, Friedrich. 1999. “One-term Edgeworth expansion for finite population U-statistics of degree two”. ACTA APPLICANDAE MATHEMATICAE 58 (1-3): 75-90.

  PUB | DOI | WoS
   
• [35]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221

  Bentkus, V, and Götze, Friedrich. 1999. “Optimal bounds in non-Gaussian limit theorems for U-statistics”. ANNALS OF PROBABILITY 27 (1): 454-521.

  PUB | DOI | WoS
   
• [34]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247

  Bobkov, SG, and Götze, Friedrich. 1999. “Exponential integrability and transportation cost related to logarithmic sobolev inequalities”. JOURNAL OF FUNCTIONAL ANALYSIS 163 (1): 1-28.

  PUB | DOI | WoS
   
• [33]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394

  Götze, Friedrich, and Tikhomirov, AN. 1999. “Asymptotic distribution of quadratic forms”. ANNALS OF PROBABILITY 27 (2): 1072-1098.

  PUB | WoS
   
• [32]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331

  Bentkus, V, Götze, Friedrich, and Zaitsev, AY. 1998. “Approximation of quadratic forms of independent random vectors by accompanying laws”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42 (2): 189-212.

  PUB | DOI | WoS
   
• [31]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472

  Götze, Friedrich, Prokhorov, YV, and Ulyanov, VV. 1998. “On smooth behavior of probability distributions under polynomial mappings”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42 (1): 28-38.

  PUB | DOI | WoS
   
• [30]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190

  Götze, Friedrich, and Zaitsev, AY. 1998. “Estimates for the rapid decay of concentration functions of n-fold convolutions”. JOURNAL OF THEORETICAL PROBABILITY 11 (3): 715-731.

  PUB | DOI | WoS
   
• [29]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531

  Bobkov, SG, and Götze, Friedrich. 1998. “On moments of polynomials”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42 (3): 518-A520.

  PUB | DOI | WoS
   
• [28]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483

  Götze, Friedrich. 1998. “Lattice point problems and the central limit theorem in Euclidean spaces”. Documenta Mathematica 1998 (Extra Vol. III): 245-255.

  PUB
   
• [27]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278

  Götze, Friedrich. 1998. “Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"”. Documenta Mathematica 1998 (Extra Vol. I): 648.

  PUB
   
• [26]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480

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

  PUB | DOI | WoS
   
• [25]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616

  Bentkus, V, Bloznelis, M, and Götze, Friedrich. 1997. “A Berry-Esseen bound for M-estimators”. SCANDINAVIAN JOURNAL OF STATISTICS 24 (4): 485-502.

  PUB | DOI | WoS
   
• [24]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698

  Bentkus, V, and Götze, Friedrich. 1997. “Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces”. PROBABILITY THEORY AND RELATED FIELDS 109 (3): 367-416.

  PUB | DOI | WoS
   
• [23]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842

  Bentkus, V, and Götze, Friedrich. 1997. “On the lattice point problem for ellipsoids”. ACTA ARITHMETICA 80 (2): 101-125.

  PUB | WoS
   
• [22]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466

  Gine, E, Götze, Friedrich, and Mason, DM. 1997. “When is the student t-statistic asymptotically standard normal?”. ANNALS OF PROBABILITY 25 (3): 1514-1531.

  PUB | WoS
   
• [21]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025

  Bickel, PJ, Götze, Friedrich, and vanZwet, WR. 1997. “Resampling fewer than n observations: Gains, losses, and remedies for losses”. STATISTICA SINICA 7 (1): 1-31.

  PUB | WoS
   
• [20]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340

  Bentkus, V, Götze, Friedrich, and van Zwet, WR. 1997. “An Edgeworth expansion for symmetric statistics”. ANNALS OF STATISTICS 25 (2): 851-896.

  PUB | WoS
   
• [19]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303

  Bentkus, V, and Götze, Friedrich. 1996. “On minimal moment assumptions in Berry-Esseen theorems for U-statistics”. THEORY OF PROBABILITY AND ITS APPLICATIONS 40 (3): 430-445.

  PUB | DOI | WoS
   
• [18]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391

  Götze, Friedrich, Prokhorov, YV, and Ulyanov, VV. 1996. “Bounds for characteristic functions of polynomials in asymptotically normal random variables”. RUSSIAN MATHEMATICAL SURVEYS 51 (2): 181-204.

  PUB | DOI | WoS
   
• [17]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739

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

  PUB | DOI | WoS
   
• [16]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275

  Bentkus, V, Götze, Friedrich, and Paulauskas, V. 1996. “Bounds for the accuracy of Poissonian approximations of stable laws”. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65 (1): 55-68.

  PUB | DOI | WoS
   
• [15]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184

  Götze, Friedrich, and Kunsch, HR. 1996. “Second-order correctness of the blockwise bootstrap for stationary observations”. ANNALS OF STATISTICS 24 (5): 1914-1933.

  PUB | WoS
   
• [14]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950

  Bentkus, V, and Götze, Friedrich. 1996. “The Berry-Esseen bound for student's statistic”. ANNALS OF PROBABILITY 24 (1): 491-503.

  PUB | WoS
   
• [13]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947

  Bentkus, V, and Götze, Friedrich. 1996. “Optimal rates of convergence in the CLT for quadratic forms”. ANNALS OF PROBABILITY 24 (1): 466-490.

  PUB | WoS
   
• [12]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785

  Götze, Friedrich, Heinrich, L, and Hipp, C. 1995. “M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION”. SCANDINAVIAN JOURNAL OF STATISTICS 22 (2): 183-195.

  PUB | WoS
   
• [11]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293

  Bentkus, V, and Götze, Friedrich. 1995. “ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS”. DOKLADY AKADEMII NAUK 343 (4): 439-440.

  PUB | WoS
   
• [10]
  

  1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122

  Götze, Friedrich, and Hipp, C. 1994. “ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES”. ANNALS OF STATISTICS 22 (4): 2062-2088.

  PUB | DOI | WoS
   
• [9]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467

  Bentkus, V, and Götze, Friedrich. 1993. “ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES”. PROBABILITY THEORY AND RELATED FIELDS 96 (2): 137-151.

  PUB | DOI | WoS
   
• [8]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732

  Bolthausen, E, and Götze, Friedrich. 1993. “THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS”. ANNALS OF STATISTICS 21 (4): 1692-1710.

  PUB | DOI | WoS
   
• [7]
  

  1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810

  Götze, Friedrich. 1991. “ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT”. ANNALS OF PROBABILITY 19 (2): 724-739.

  PUB | DOI | WoS
   
• [6]
  

  1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279

  Götze, Friedrich, and Hipp, C. 1990. “LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD”. ANNALS OF PROBABILITY 18 (2): 810-828.

  PUB | DOI | WoS
   
• [5]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233

  Götze, Friedrich. 1989. “EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS”. ANNALS OF PROBABILITY 17 (4): 1602-1634.

  PUB | DOI | WoS
   
• [4]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749

  Götze, Friedrich, and HIPP, C. 1989. “ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS”. PROBABILITY THEORY AND RELATED FIELDS 82 (3): 349-370.

  PUB | DOI | WoS
   
• [3]
  

  1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159

  Götze, Friedrich. 1987. “APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS”. JOURNAL OF MULTIVARIATE ANALYSIS 22 (2): 212-229.

  PUB | DOI | WoS
   
• [2]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485

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

  PUB | DOI | WoS
   
• [1]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885

  Bickel, PJ, Götze, Friedrich, and Vanzwet, WR. 1986. “THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2”. ANNALS OF STATISTICS 14 (4): 1463-1484.

  PUB | DOI | WoS