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. “Berry-Esseen bounds in the local limit theorems”. Lithuanian Mathematical Journal (2025).

  PUB | DOI | WoS
   
• [150]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990764

  Feng, Renjie, Götze, Friedrich, and Yao, Dong. “Smallest gaps between zeros of stationary Gaussian processes”. Journal of Functional Analysis 287.4 (2024): 110493.

  PUB | DOI | WoS
   
• [149]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990002

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

  PUB | DOI | WoS
   
• [148]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2981953

  Bobkov, Sergey G. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Richter's local limit theorem, its refinement, and related results*”. Lithuanian Mathematical Journal 63.2 (2023): 138–160.

  PUB | PDF | DOI | WoS
   
• [147]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984564

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

  PUB | DOI | WoS
   
• [146]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980945

  Götze, Friedrich, and Sambale, Holger. “Higher order concentration on Stiefel and Grassmann manifolds”. Electronic Journal of Probability 28 (2023): 79.

  PUB | DOI | WoS
   
• [145]
  

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

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

  PUB | PDF | DOI | WoS
   
• [144]
  

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

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

  PUB | PDF | DOI | WoS
   
• [143]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210

  Götze, Friedrich, and Zaitsev, Andrei Yu. “A New Bound in the Littlewood–Offord Problem”. Mathematics 10.10 (2022): 1740.

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

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963454

  Götze, Friedrich, and Zaitsev, Yu. “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 (2022): 1-16.

  PUB | DOI | WoS
   
• [141]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961326

  Chistyakov, Gennadiy, and Götze, Friedrich. “Approximation of Free Convolutions by Free Infinitely Divisible Laws”. Theory of Probability and its Applications 66.4 (2022): 640-667.

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• [140]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962433

  Götze, Friedrich, Timushev, D. A., and Tikhomirov, A. N. “Local Marchenko-Pastur Law for Sparse Rectangular Random Matrices”. Doklady Mathematics 104.3 (2021): 332-335.

  PUB | DOI | WoS
   
• [139]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960439

  Bickel, Peter, Fiocco, Marta, de Gunst, Mathisca, and Götze, Friedrich. “Willem van Zwet’s research”. Annals of Statistics 49.5 (2021): 2439-2447.

  PUB | DOI | WoS
   
• [138]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955377

  Akemann, Gernot, Götze, Friedrich, and Neuschel, Thorsten. “Characteristic polynomials of products of non-Hermitian Wigner matrices: finite-N results and Lyapunov universality”. Electronic Communications in Probability 26 (2021): 30.

  PUB | DOI | WoS | arXiv
   
• [137]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957345

  Götze, Friedrich, and Jalowy, Jonas. “Rate of convergence to the Circular Law via smoothing inequalities for log-potentials”. Random Matrices: Theory and Applications 10.3 (2021): 2150026.

  PUB | DOI | WoS
   
• [136]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955131

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

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• [135]
  

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

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

  PUB | DOI | WoS
   
• [133]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945600

  Götze, Friedrich, Naumov, Alexey, and Tikhomirov, Alexander. “Local laws for non-Hermitian random matrices and their products”. Random Matrices: Theory and Applications 9.4 (2020): 2150004.

  PUB | DOI | WoS
   
• [132]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945598

  Götze, Friedrich, and Gusakova, Anna. “On the distribution of Salem numbers”. Journal of Number Theory 216 (2020): 192-215.

  PUB | DOI | WoS
   
• [131]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945437

  Götze, Friedrich, Naumov, A., and Tikhomirov, A. “Local Semicircle Law Under Fourth Moment Condition”. JOURNAL OF THEORETICAL PROBABILITY 33.3 (2020): 1327-1362.

  PUB | DOI | WoS
   
• [130]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945466

  Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “MOMENT INEQUALITIES FOR LINEAR AND NONLINEAR STATISTICS”. THEORY OF PROBABILITY AND ITS APPLICATIONS 65.1 (2020): 1-16.

  PUB | DOI | WoS
   
• [129]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945467

  Dzindzalieta, D., and Götze, Friedrich. “HALF-SPACES WITH INFLUENTIAL VARIABLE”. THEORY OF PROBABILITY AND ITS APPLICATIONS 65.1 (2020): 114-120.

  PUB | DOI | WoS
   
• [128]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2944785

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “NORMAL APPROXIMATION FOR WEIGHTED SUMS UNDER A SECOND-ORDER CORRELATION CONDITION”. ANNALS OF PROBABILITY 48.3 (2020): 1202-1219.

  PUB | DOI | WoS
   
• [127]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946631

  Götze, Friedrich, Gusakova, Anna, and Zaporozhets, Dmitry. “Random affine simplexes”. Journal of Applied Probability 56.01 (2019): 39-51.

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• [126]
  

  2019 | Preprint | PUB-ID: 2934694

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

  PUB | arXiv
   
• [125]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723

  Götze, Friedrich, Naumov, Alexey, Spokoiny, Vladimir, and Ulyanov, Vladimir. “Large ball probabilities, Gaussian comparison and anti-concentration”. Bernoulli 25.4A (2019): 2538-2563.

  PUB | DOI | WoS | arXiv
   
• [124]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874

  Bobkov, Sergey C., Götze, Friedrich, and Sambale, Holger. “Higher order concentration of measure”. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21.3 (2019): 1850043.

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• [123]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2941909

  Bobkov, Sergey G., Chistyakov, Gennadiy, and Götze, Friedrich. “Nonuniform bounds in the Poisson approximation with applications to informational distances. II”. LITHUANIAN MATHEMATICAL JOURNAL 59.4 (2019): 469-497.

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• [122]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741

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

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• [121]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I”. IEEE Transactions on Information Theory 65.9 (2019): 5283-5293.

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• [120]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036

  Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “On Optimal Bounds in the Local Semicircle Law under Four Moment Condition”. DOKLADY MATHEMATICS 99.1 (2019): 40-43.

  PUB | DOI | WoS
   
• [119]
  

  2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM”. ANNALS OF PROBABILITY 47.1 (2019): 270-323.

  PUB | DOI | WoS
   
• [118]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538

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

  PUB | DOI | WoS
   
• [117]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644

  Götze, Friedrich, Naumov, Alexey, Tikhomirov, Alexander, and Timushev, Dmitry. “On the local semicircular law for Wigner ensembles”. BERNOULLI 24.3 (2018): 2358-2400.

  PUB | DOI | WoS
   
• [116]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353

  Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62.1 (2018): 58-83.

  PUB | DOI | WoS
   
• [115]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708

  Götze, Friedrich, Eliseeva, Yu S., and Zaitsev, A. Yu. “ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62.2 (2018): 196-215.

  PUB | DOI | WoS
   
• [114]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354

  Prokhorov, Yu. V., Götze, Friedrich, and Ulyanov, V. V. “ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62.1 (2018): 98-116.

  PUB | DOI | WoS
   
• [113]
  

  2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279

  Götze, Friedrich, and Zaitsev, Andrei Yu. “New applications of Arak's inequalities to the Littlewood-Offord problem”. EUROPEAN JOURNAL OF MATHEMATICS 4.2 (2018): 639-663.

  PUB | DOI | WoS
   
• [112]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434

  Götze, Friedrich, Naumov, Alexey, and Tikhomirov, Alexander. “Distribution of linear statistics of singular values of the product of random matrices”. Bernoulli 23.4B (2017): 3067-3113.

  PUB | DOI | WoS
   
• [111]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113

  Götze, Friedrich, and Gusakova, Anna. “On algebraic integers in short intervals and near smooth curves”. ACTA ARITHMETICA 179.3 (2017): 251-265.

  PUB | DOI | WoS
   
• [110]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993

  Bernik, Vasili, Budarina, Natalia, and Götze, Friedrich. “Exact upper bounds for the number of the polynomials with given discriminants”. LITHUANIAN MATHEMATICAL JOURNAL 57.3 (2017): 283-293.

  PUB | DOI | WoS
   
• [109]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474

  Götze, Friedrich, Naumov, A., and Ulyanov, V. “Asymptotic Analysis of Symmetric Functions”. JOURNAL OF THEORETICAL PROBABILITY 30.3 (2017): 876-897.

  PUB | DOI | WoS
   
• [108]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145

  Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. “Second-order concentration on the sphere”. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 19.5 (2017): 1650058.

  PUB | DOI | WoS
   
• [107]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422

  Götze, Friedrich, Kaliada, Dzianis, and Zaporozhets, Dmitry. “DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS”. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145.1 (2017): 61-71.

  PUB | DOI | WoS
   
• [106]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051

  Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “Local Laws for Non-Hermitian Random Matrices”. DOKLADY MATHEMATICS 96.3 (2017): 558-560.

  PUB | DOI | WoS
   
• [105]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683

  Beresnevich, Victor, Bernik, Vasili, and Götze, Friedrich. “Integral polynomials with small discriminants and resultants”. ADVANCES IN MATHEMATICS 298 (2016): 393-412.

  PUB | DOI | WoS
   
• [104]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070

  Götze, Friedrich, and Tikhomirov, A. “Optimal bounds for convergence of expected spectral distributions to the semi-circular law”. PROBABILITY THEORY AND RELATED FIELDS 165.1-2 (2016): 163-233.

  PUB | DOI | WoS
   
• [103]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426

  Bobkov, S. G., Chistyakov, G. P., and Götze, Friedrich. “Regularized distributions and entropic stability of Cramer's characterization of the normal law”. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126.12 (2016): 3865-3887.

  PUB | DOI | WoS
   
• [102]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156

  Götze, Friedrich, Eliseeva, Yu. S., and Zaitsev, A. Yu. “Arak's inequalities for concentration functions and the Littlewood-Offord problem”. DOKLADY MATHEMATICS 93.2 (2016): 202-206.

  PUB | DOI | WoS
   
• [101]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838

  Götze, Friedrich, Naumov, A., and Tikhomirov, A. “ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES”. Acta Physica Polonica B 46.9 (2015): 1737.

  PUB | DOI | WoS
   
• [100]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110

  Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 59.1 (2015): 23-39.

  PUB | DOI | WoS
   
• [99]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095

  Götze, Friedrich, Naumov, A., and Tikhomirov, A. “On minimal singular values of random matrices with correlated entries”. RANDOM MATRICES-THEORY AND APPLICATIONS 4.2 (2015): 30.

  PUB | DOI | WoS
   
• [98]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096

  Götze, Friedrich, Kösters, Holger, and Tikhomirov, Alexander. “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”. RANDOM MATRICES-THEORY AND APPLICATIONS 4.2 (2015): 85.

  PUB | DOI | WoS
   
• [97]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385

  Bernik, V. I., and Götze, Friedrich. “Distribution of real algebraic numbers of arbitrary degree in short intervals”. Izvestiya Mathematics 79.1 (2015): 18-39.

  PUB | DOI | WoS
   
• [96]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675

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

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

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899

  Götze, Friedrich, and Zaitsev, Andrei Yu. “EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS”. The Annals of Probability 42.1 (2014): 354-397.

  PUB | DOI | WoS
   
• [94]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420

  Budarina, N. V., and Götze, Friedrich. “Distance between conjugate algebraic numbers in clusters”. Mathematical Notes 94.5-6 (2014): 816-819.

  PUB | DOI | WoS
   
• [93]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611

  Götze, Friedrich, and Venker, Martin. “LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES”. The Annals of Probability 42.6 (2014): 2207-2242.

  PUB | DOI | WoS
   
• [92]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496

  Bobkov, S. G., Chistyakov, G. P., and Götze, Friedrich. “Fisher information and convergence to stable laws”. Bernoulli 20.3 (2014): 1620-1646.

  PUB | DOI | WoS
   
• [91]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064

  Bernik, Vasilii, Götze, Friedrich, and Kukso, Olga. “On algebraic points in the plane near smooth curves”. Lithuanian Mathematical Journal 54.3 (2014): 231-251.

  PUB | DOI | WoS
   
• [90]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735

  Bobkov, Sergey G., Chistyakov, Gennadiy, and Götze, Friedrich. “Berry-Esseen bounds in the entropic central limit theorem”. Probability Theory and Related Fields 159.3-4 (2014): 435-478.

  PUB | DOI | WoS
   
• [89]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719

  Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. “Fisher information and the central limit theorem”. Probability Theory and Related Fields 159.1-2 (2014): 1-59.

  PUB | DOI | WoS
   
• [88]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746

  Bloznelis, Mindaugas, and Götze, Friedrich. “Preferred Attachment in Affiliation Networks”. Journal of Statistical Physics 156.4 (2014): 800-821.

  PUB | DOI | WoS
   
• [87]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355

  Kaliada, Dzianis, Götze, Friedrich, and Kukso, Olga. “The asymptotic number of integral cubic polynomials with bounded heights and discriminants”. Lithuanian Mathematical Journal 54.2 (2014): 150-165.

  PUB | DOI | WoS
   
• [86]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112

  Götze, Friedrich, and Van Zwet, W. R. “THE TIMES OF YURI VASILYEVICH PROKHOROV”. Theory Of Probability & Its Applications 57.2 (2013): 306-322.

  PUB | DOI | WoS
   
• [85]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Convergence to Stable Laws in Relative Entropy”. Journal Of Theoretical Probability 26.3 (2013): 803-818.

  PUB | DOI | WoS
   
• [84]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882

  Chistyakov, Gennadiy, and Götze, Friedrich. “Asymptotic expansions in the CLT in free probability”. Probability Theory And Related Fields 157.1-2 (2013): 107-156.

  PUB | DOI | WoS
   
• [83]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178

  Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS”. Theory Of Probability & Its Applications 57.4 (2013): 568-588.

  PUB | DOI | WoS
   
• [82]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291

  Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. “RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM”. The Annals Of Probability 41.4 (2013): 2479-2512.

  PUB | DOI | WoS
   
• [81]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214

  Bloznelis, Mindaugas, Götze, Friedrich, and Jaworski, Jerzy. “BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH”. Journal of Applied Probability 49.3 (2012): 601-611.

  PUB | WoS
   
• [80]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738

  Götze, Friedrich, and Zaporozhets, D. “ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS”. Theory Of Probability & Its Applications 56.4 (2012): 696-U217.

  PUB | DOI | WoS
   
• [79]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956

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

  PUB | DOI | WoS
   
• [78]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372

  Chistyakov, Gennadiy, Götze, Friedrich, and Lehner, F. “Freeness of linear and quadratic forms in von Neumann algebras”. Journal of Functional Analysis 261.10 (2011): 2829-2844.

  PUB | DOI | WoS
   
• [77]
  

  2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392

  Chistyakov, Gennadiy, and Götze, Friedrich. “The arithmetic of distributions in free probability theory”. Central European Journal of Mathematics 9.5 (2011): 997-1050.

  PUB | DOI | WoS
   
• [76]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346

  Bloznelis, M., Götze, Friedrich, Paulauskas, V., Rackauskas, A., and van Zwet, W. “VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM”. Lithuanian Mathematical Journal 50.4 (2010): 367-371.

  PUB | DOI | WoS
   
• [75]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793

  Alexeev, N., Götze, Friedrich, and Tikhomirov, Alexander. “ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES”. LITHUANIAN MATHEMATICAL JOURNAL 50.2 (2010): 121-132.

  PUB | DOI | WoS
   
• [74]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477

  Bobkov, S. G., Götze, Friedrich, and Tikhomirov, A. N. “On Concentration of Empirical Measures and Convergence to the Semi-circle Law”. JOURNAL OF THEORETICAL PROBABILITY 23.3 (2010): 792-823.

  PUB | DOI | WoS
   
• [73]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101

  Götze, Friedrich, and Tikhomirov, Alexander. “THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 54.1 (2010): 129-U7.

  PUB | DOI | WoS
   
• [72]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254

  Alexeev, N. V., Götze, Friedrich, and Tikhomirov, A. N. “On the Singular Spectrum of Powers and Products of Random Matrices”. DOKLADY MATHEMATICS 82.1 (2010): 505-507.

  PUB | DOI | WoS
   
• [71]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544

  Götze, Friedrich, and Tikhomirov, Alexander. “THE CIRCULAR LAW FOR RANDOM MATRICES”. ANNALS OF PROBABILITY 38.4 (2010): 1444-1491.

  PUB | DOI | WoS
   
• [70]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517

  Bobkov, S. G., and Götze, Friedrich. “Concentration of empirical distribution functions with applications to non-i.i.d. models”. Bernoulli 16.4 (2010): 1385-1414.

  PUB | DOI | WoS
   
• [69]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158

  Beresnevich, Victor, Bernik, Vasili, and Götze, Friedrich. “The distribution of close conjugate algebraic numbers”. COMPOSITIO MATHEMATICA 146.5 (2010): 1165-1179.

  PUB | DOI | WoS
   
• [68]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382

  Götze, Friedrich, and Zaitsev, A. Yu. “BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE”. THEORY OF PROBABILITY AND ITS APPLICATIONS 53.1 (2009): 59-80.

  PUB | DOI | WoS
   
• [67]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216

  Götze, Friedrich, and Kösters, Holger. “On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 285.3 (2009): 1183-1205.

  PUB | DOI | WoS
   
• [66]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665

  Chistyakov, Gennadiy, and Götze, Friedrich. “Limit theorems in free probability theory II”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6.1 (2008): 87-117.

  PUB | PDF | DOI | WoS
   
• [65]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941

  Bernik, Vasili, Götze, Friedrich, and Kukso, Olga. “Lower bounds for the number of integral polynomials with given order of discriminants”. ACTA ARITHMETICA 133.4 (2008): 375-390.

  PUB | DOI | WoS
   
• [64]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325

  Bernik, V., Götze, Friedrich, and Kukso, O. “On the divisibility of the discriminant of an integral polynomial by prime powers”. LITHUANIAN MATHEMATICAL JOURNAL 48.4 (2008): 380-396.

  PUB | DOI | WoS
   
• [63]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003

  Chistyakov, Gennadiy, and Götze, Friedrich. “Limit theorems in free probability theory I”. ANNALS OF PROBABILITY 36.1 (2008): 54-90.

  PUB | DOI | WoS
   
• [62]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843

  Götze, Friedrich, and Gordin, Mikhail. “Limit correlation functions for fixed trace random matrix ensembles”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 281.1 (2008): 203-229.

  PUB | DOI | WoS
   
• [61]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316

  Chistyakov, Gennadiy, and Götze, Friedrich. “Independence of linear forms with random coefficients”. PROBABILITY THEORY AND RELATED FIELDS 137.1-2 (2007): 1-24.

  PUB | DOI | WoS
   
• [60]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660

  Götze, Friedrich, Tikhomirov, Alexander, and Timushev, Dmitry A. “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5.2 (2007): 305-334.

  PUB | DOI | WoS
   
• [59]
  

  2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320

  Bobkov, Sergey G., and Götze, Friedrich. “Concentration inequalities and limit theorems for randomized sums”. PROBABILITY THEORY AND RELATED FIELDS 137.1-2 (2007): 49-81.

  PUB | DOI | WoS
   
• [58]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582

  Bogatyrev, S. A., Götze, Friedrich, and Ulyanov, V. V. “Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space”. JOURNAL OF MULTIVARIATE ANALYSIS 97.9 (2006): 2041-2056.

  PUB | DOI | WoS
   
• [57]
  

  2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422

  Götze, Friedrich, and Tikhomirov, A. N. “Limit theorems for spectra of random matrices with martingale structure”. THEORY OF PROBABILITY AND ITS APPLICATIONS 51.1 (2006): 42-64.

  PUB | DOI | WoS
   
• [56]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155

  Götze, Friedrich, and Tikhomirov, AN. “Asymptotic expansions in non-central limit theorems for quadratic forms”. JOURNAL OF THEORETICAL PROBABILITY 18.4 (2005): 757-811.

  PUB | DOI | WoS
   
• [55]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986

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

  PUB | DOI | WoS
   
• [54]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044

  Götze, Friedrich, and Tikhomirov, A. “Rate of convergence in probability to the Marchenko-Pastur law”. BERNOULLI 10.3 (2004): 503-548.

  PUB | DOI | WoS
   
• [53]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107

  Götze, Friedrich, and Gordin, Mikhail. “Limiting distributions of theta series on Siegel half-spaces”. St. Petersburg mathematical journal 15.1 (2004): 81-102.

  PUB
   
• [52]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103

  Chistyakov, Gennadiy, and Götze, Friedrich. “Distribution of the shape of Markovian random words”. PROBABILITY THEORY AND RELATED FIELDS 129.1 (2004): 18-36.

  PUB | DOI | WoS
   
• [51]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262

  Chistyakov, Gennadiy, and Götze, Friedrich. “Limit distributions of studentized means”. ANNALS OF PROBABILITY 32.1A (2004): 28-77.

  PUB | WoS
   
• [50]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761

  Götze, Friedrich. “Lattice point problems and values of quadratic forms”. INVENTIONES MATHEMATICAE 157.1 (2004): 195-226.

  PUB | DOI | WoS
   
• [49]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373

  Chistyakov, Gennadiy, and Götze, Friedrich. “On bounds for moderate deviations for student's statistic”. THEORY OF PROBABILITY AND ITS APPLICATIONS 48.3 (2003): 528-535.

  PUB | DOI | WoS
   
• [48]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739

  Götze, Friedrich, and Tikhomirov, A. “Rate of convergence to the semi-circular law”. PROBABILITY THEORY AND RELATED FIELDS 127.2 (2003): 228-276.

  PUB | DOI | WoS
   
• [47]
  

  2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272

  Bobkov, SG, and Götze, Friedrich. “On the central limit theorem along subsequences of noncorrelated observations”. THEORY OF PROBABILITY AND ITS APPLICATIONS 48.4 (2003): 604-621.

  PUB | DOI | WoS
   
• [46]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604

  Götze, Friedrich, and Tikhomirov, A. “Asymptotic distribution of quadratic forms and applications”. JOURNAL OF THEORETICAL PROBABILITY 15.2 (2002): 423-475.

  PUB | DOI | WoS
   
• [45]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886

  Bloznelis, M, and Götze, Friedrich. “An Edgeworth expansion for symmetric finite population statistics”. ANNALS OF PROBABILITY 30.3 (2002): 1238-1265.

  PUB | WoS
   
• [44]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095

  Chistyakov, Gennadiy, and Götze, Friedrich. “Moderate deviations for student's statistic”. THEORY OF PROBABILITY AND ITS APPLICATIONS 47.3 (2002): 415-428.

  PUB | DOI | WoS
   
• [43]
  

  2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874

  Götze, Friedrich, and Tikhomirov, AN. “Rate of convergence to the semicircular law for the Gaussian unitary ensemble”. THEORY OF PROBABILITY AND ITS APPLICATIONS 47.2 (2002): 323-330.

  PUB | WoS
   
• [42]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478

  Bentkus, V, and Götze, Friedrich. “Lattice points in multidimensional bodies”. FORUM MATHEMATICUM 13.2 (2001): 149-225.

  PUB | DOI | WoS
   
• [41]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879

  Bobkov, SG, Götze, Friedrich, and Houdre, C. “On Gaussian and Bernoulli covariance representations”. BERNOULLI 7.3 (2001): 439-451.

  PUB | DOI | WoS
   
• [40]
  

  2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952

  Bloznelis, M, and Götze, Friedrich. “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”. ANNALS OF STATISTICS 29.3 (2001): 899-917.

  PUB | WoS
   
• [39]
  

  2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181

  Bloznelis, M, and Götze, Friedrich. “An edgeworth expansion for finite-population U-statistics”. BERNOULLI 6.4 (2000): 729-760.

  PUB | DOI | WoS
   
• [38]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548

  Bobkov, SG, and Götze, Friedrich. “Discrete isoperimetric and Poincare-type inequalities”. PROBABILITY THEORY AND RELATED FIELDS 114.2 (1999): 245-277.

  PUB | DOI | WoS
   
• [37]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558

  Bentkus, V, and Götze, Friedrich. “Lattice point problems and distribution of values of quadratic forms”. ANNALS OF MATHEMATICS 150.3 (1999): 977-1027.

  PUB | DOI | WoS
   
• [36]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192

  Bloznelis, M, and Götze, Friedrich. “One-term Edgeworth expansion for finite population U-statistics of degree two”. ACTA APPLICANDAE MATHEMATICAE 58.1-3 (1999): 75-90.

  PUB | DOI | WoS
   
• [35]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221

  Bentkus, V, and Götze, Friedrich. “Optimal bounds in non-Gaussian limit theorems for U-statistics”. ANNALS OF PROBABILITY 27.1 (1999): 454-521.

  PUB | DOI | WoS
   
• [34]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247

  Bobkov, SG, and Götze, Friedrich. “Exponential integrability and transportation cost related to logarithmic sobolev inequalities”. JOURNAL OF FUNCTIONAL ANALYSIS 163.1 (1999): 1-28.

  PUB | DOI | WoS
   
• [33]
  

  1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394

  Götze, Friedrich, and Tikhomirov, AN. “Asymptotic distribution of quadratic forms”. ANNALS OF PROBABILITY 27.2 (1999): 1072-1098.

  PUB | WoS
   
• [32]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331

  Bentkus, V, Götze, Friedrich, and Zaitsev, AY. “Approximation of quadratic forms of independent random vectors by accompanying laws”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42.2 (1998): 189-212.

  PUB | DOI | WoS
   
• [31]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472

  Götze, Friedrich, Prokhorov, YV, and Ulyanov, VV. “On smooth behavior of probability distributions under polynomial mappings”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42.1 (1998): 28-38.

  PUB | DOI | WoS
   
• [30]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190

  Götze, Friedrich, and Zaitsev, AY. “Estimates for the rapid decay of concentration functions of n-fold convolutions”. JOURNAL OF THEORETICAL PROBABILITY 11.3 (1998): 715-731.

  PUB | DOI | WoS
   
• [29]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531

  Bobkov, SG, and Götze, Friedrich. “On moments of polynomials”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42.3 (1998): 518-A520.

  PUB | DOI | WoS
   
• [28]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483

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

  PUB
   
• [27]
  

  1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278

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

  PUB
   
• [26]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480

  Bentkus, V, Götze, Friedrich, and Tikhomirov, A. “Berry-Esseen bounds for statistics of weakly dependent samples”. BERNOULLI 3.3 (1997): 329-349.

  PUB | DOI | WoS
   
• [25]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616

  Bentkus, V, Bloznelis, M, and Götze, Friedrich. “A Berry-Esseen bound for M-estimators”. SCANDINAVIAN JOURNAL OF STATISTICS 24.4 (1997): 485-502.

  PUB | DOI | WoS
   
• [24]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698

  Bentkus, V, and Götze, Friedrich. “Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces”. PROBABILITY THEORY AND RELATED FIELDS 109.3 (1997): 367-416.

  PUB | DOI | WoS
   
• [23]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842

  Bentkus, V, and Götze, Friedrich. “On the lattice point problem for ellipsoids”. ACTA ARITHMETICA 80.2 (1997): 101-125.

  PUB | WoS
   
• [22]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466

  Gine, E, Götze, Friedrich, and Mason, DM. “When is the student t-statistic asymptotically standard normal?”. ANNALS OF PROBABILITY 25.3 (1997): 1514-1531.

  PUB | WoS
   
• [21]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025

  Bickel, PJ, Götze, Friedrich, and vanZwet, WR. “Resampling fewer than n observations: Gains, losses, and remedies for losses”. STATISTICA SINICA 7.1 (1997): 1-31.

  PUB | WoS
   
• [20]
  

  1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340

  Bentkus, V, Götze, Friedrich, and van Zwet, WR. “An Edgeworth expansion for symmetric statistics”. ANNALS OF STATISTICS 25.2 (1997): 851-896.

  PUB | WoS
   
• [19]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303

  Bentkus, V, and Götze, Friedrich. “On minimal moment assumptions in Berry-Esseen theorems for U-statistics”. THEORY OF PROBABILITY AND ITS APPLICATIONS 40.3 (1996): 430-445.

  PUB | DOI | WoS
   
• [18]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391

  Götze, Friedrich, Prokhorov, YV, and Ulyanov, VV. “Bounds for characteristic functions of polynomials in asymptotically normal random variables”. RUSSIAN MATHEMATICAL SURVEYS 51.2 (1996): 181-204.

  PUB | DOI | WoS
   
• [17]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739

  Bentkus, V, Bloznelis, M, and Götze, Friedrich. “A Berry-Esseen bound for student's statistic in the non-iid case”. JOURNAL OF THEORETICAL PROBABILITY 9.3 (1996): 765-796.

  PUB | DOI | WoS
   
• [16]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275

  Bentkus, V, Götze, Friedrich, and Paulauskas, V. “Bounds for the accuracy of Poissonian approximations of stable laws”. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65.1 (1996): 55-68.

  PUB | DOI | WoS
   
• [15]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184

  Götze, Friedrich, and Kunsch, HR. “Second-order correctness of the blockwise bootstrap for stationary observations”. ANNALS OF STATISTICS 24.5 (1996): 1914-1933.

  PUB | WoS
   
• [14]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950

  Bentkus, V, and Götze, Friedrich. “The Berry-Esseen bound for student's statistic”. ANNALS OF PROBABILITY 24.1 (1996): 491-503.

  PUB | WoS
   
• [13]
  

  1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947

  Bentkus, V, and Götze, Friedrich. “Optimal rates of convergence in the CLT for quadratic forms”. ANNALS OF PROBABILITY 24.1 (1996): 466-490.

  PUB | WoS
   
• [12]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785

  Götze, Friedrich, Heinrich, L, and Hipp, C. “M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION”. SCANDINAVIAN JOURNAL OF STATISTICS 22.2 (1995): 183-195.

  PUB | WoS
   
• [11]
  

  1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293

  Bentkus, V, and Götze, Friedrich. “ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS”. DOKLADY AKADEMII NAUK 343.4 (1995): 439-440.

  PUB | WoS
   
• [10]
  

  1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122

  Götze, Friedrich, and Hipp, C. “ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES”. ANNALS OF STATISTICS 22.4 (1994): 2062-2088.

  PUB | DOI | WoS
   
• [9]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467

  Bentkus, V, and Götze, Friedrich. “ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES”. PROBABILITY THEORY AND RELATED FIELDS 96.2 (1993): 137-151.

  PUB | DOI | WoS
   
• [8]
  

  1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732

  Bolthausen, E, and Götze, Friedrich. “THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS”. ANNALS OF STATISTICS 21.4 (1993): 1692-1710.

  PUB | DOI | WoS
   
• [7]
  

  1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810

  Götze, Friedrich. “ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT”. ANNALS OF PROBABILITY 19.2 (1991): 724-739.

  PUB | DOI | WoS
   
• [6]
  

  1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279

  Götze, Friedrich, and Hipp, C. “LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD”. ANNALS OF PROBABILITY 18.2 (1990): 810-828.

  PUB | DOI | WoS
   
• [5]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233

  Götze, Friedrich. “EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS”. ANNALS OF PROBABILITY 17.4 (1989): 1602-1634.

  PUB | DOI | WoS
   
• [4]
  

  1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749

  Götze, Friedrich, and HIPP, C. “ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS”. PROBABILITY THEORY AND RELATED FIELDS 82.3 (1989): 349-370.

  PUB | DOI | WoS
   
• [3]
  

  1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159

  Götze, Friedrich. “APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS”. JOURNAL OF MULTIVARIATE ANALYSIS 22.2 (1987): 212-229.

  PUB | DOI | WoS
   
• [2]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485

  Götze, Friedrich. “ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES”. ANNALS OF PROBABILITY 14.3 (1986): 922-942.

  PUB | DOI | WoS
   
• [1]
  

  1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885

  Bickel, PJ, Götze, Friedrich, and Vanzwet, WR. “THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2”. ANNALS OF STATISTICS 14.4 (1986): 1463-1484.

  PUB | DOI | WoS