148 Publikationen

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  • [148]
    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
     
  • [147]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | 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 (2023).
    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: 2964051 OA
    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
     
  • [144]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964210 OA
    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
     
  • [143]
    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
     
  • [142]
    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.
    PUB | DOI | WoS
     
  • [141]
    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 (2022).
    PUB | DOI | WoS
     
  • [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.
    PUB | DOI | WoS
     
  • [135]
    2020 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2944514 OA
    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.
    PUB | DOI | WoS
     
  • [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.
    PUB | DOI | WoS
     
  • [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.
    PUB | DOI | WoS
     
  • [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.
    PUB | DOI | WoS
     
  • [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.
    PUB | DOI | WoS
     
  • [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: 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
     
  • [65]
    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
     
  • [64]
    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
     
  • [63]
    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 | 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
     

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