125 Publikationen

Alle markieren

[125]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723
Götze, F., Naumov, A., Spokoiny, V., & Ulyanov, V. (2019). Large ball probabilities, Gaussian comparison and anti-concentration. Bernoulli, 25(4A), 2538-2563. doi:10.3150/18-BEJ1062
PUB | DOI | WoS
 
[124]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741
Götze, F., Sambale, H., & Sinulis, A. (2019). Higher order concentration for functions of weakly dependent random variables. Electronic Journal of Probability, 24, 85. doi:10.1214/19-EJP338
PUB | DOI | WoS
 
[123]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338
Bobkov, S. G., Chistyakov, G., & Götze, F. (2019). Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I. IEEE Transactions on Information Theory, 65(9), 5283-5293. doi:10.1109/TIT.2019.2913313
PUB | DOI | WoS
 
[122]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936961
Götze, F., Gusakova, A., & Zaporozhets, D. (2019). Journal of Applied Probability. Journal of Applied Probability, 56(1), 39-51. doi:10.1017/jpr.2019.4
PUB | DOI | WoS
 
[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
Götze, F., Naumov, A. A., & Tikhomirov, A. N. (2019). On Optimal Bounds in the Local Semicircle Law under Four Moment Condition. DOKLADY MATHEMATICS, 99(1), 40-43. doi:10.1134/S1064562419010125
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Bobkov, S. C., Götze, F., & Sambale, H. (2019). Higher order concentration of measure. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 21(3), 1850043. doi:10.1142/S0219199718500438
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
Bobkov, S. G., Chistyakov, G., & Götze, F. (2019). RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM. ANNALS OF PROBABILITY, 47(1), 270-323. doi:10.1214/18-AOP1261
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
Götze, F., Naumov, A., Tikhomirov, A., & Timushev, D. (2018). On the local semicircular law for Wigner ensembles. BERNOULLI, 24(3), 2358-2400. doi:10.3150/17-BEJ931
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
Götze, F., Naumov, A. A., & 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. doi:10.1137/S0040585X97T988496
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
Götze, F., Eliseeva, Y. S., & Zaitsev, A. Y. (2018). ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM. THEORY OF PROBABILITY AND ITS APPLICATIONS, 62(2), 196-215. doi:10.1137/S0040585X97T988563
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
Prokhorov, Y. V., Götze, F., & 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. doi:10.1137/S0040585X97T988514
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
Götze, F., & Zaitsev, A. Y. (2018). New applications of Arak's inequalities to the Littlewood-Offord problem. EUROPEAN JOURNAL OF MATHEMATICS, 4(2), 639-663. doi:10.1007/s40879-018-0215-3
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Bobkov, S. G., Chistyakov, G., & Götze, F. (2018). Berry-Esseen bounds for typical weighted sums. ELECTRONIC JOURNAL OF PROBABILITY, 23, 92. doi:10.1214/18-EJP195
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Götze, F., Naumov, A., & Tikhomirov, A. (2017). Distribution of linear statistics of singular values of the product of random matrices. Bernoulli, 23(4B), 3067-3113. doi:10.3150/16-BEJ837
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
Götze, F., & Gusakova, A. (2017). On algebraic integers in short intervals and near smooth curves. ACTA ARITHMETICA, 179(3), 251-265. doi:10.4064/aa8333-2-2017
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Bernik, V., Budarina, N., & Götze, F. (2017). Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL, 57(3), 283-293. doi:10.1007/s10986-017-9361-4
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Götze, F., Naumov, A., & Ulyanov, V. (2017). Asymptotic Analysis of Symmetric Functions. JOURNAL OF THEORETICAL PROBABILITY, 30(3), 876-897. doi:10.1007/s10959-016-0679-3
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2017). Second-order concentration on the sphere. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 19(5), 1650058. doi:10.1142/S0219199716500589
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
Götze, F., Kaliada, D., & Zaporozhets, D. (2017). DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 145(1), 61-71. doi:10.1090/proc/13208
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Götze, F., Naumov, A. A., & Tikhomirov, A. N. (2017). Local Laws for Non-Hermitian Random Matrices. DOKLADY MATHEMATICS, 96(3), 558-560. doi:10.1134/S1064562417060072
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Beresnevich, V., Bernik, V., & Götze, F. (2016). Integral polynomials with small discriminants and resultants. ADVANCES IN MATHEMATICS, 298, 393-412. doi:10.1016/j.aim.2016.04.022
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Götze, F., & 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. doi:10.1007/s00440-015-0629-5
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2016). Regularized distributions and entropic stability of Cramer's characterization of the normal law. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 126(12), 3865-3887. doi:10.1016/j.spa.2016.04.010
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Götze, F., Eliseeva, Y. S., & Zaitsev, A. Y. (2016). Arak's inequalities for concentration functions and the Littlewood-Offord problem. DOKLADY MATHEMATICS, 93(2), 202-206. doi:10.1134/S1064562416020241
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
Götze, F., Naumov, A., & Tikhomirov, A. (2015). ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES. Acta Physica Polonica B, 46(9), 1737-1745. doi:10.5506/APhysPolB.46.1737
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
Götze, F., Naumov, A. A., & 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. doi:10.1137/S0040585X97986916
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
Götze, F., Naumov, A., & Tikhomirov, A. (2015). On minimal singular values of random matrices with correlated entries. RANDOM MATRICES-THEORY AND APPLICATIONS, 4(2), 30. doi:10.1142/S2010326315500069
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Götze, F., Kösters, H., & Tikhomirov, A. (2015). Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS, 4(2), 85. doi:10.1142/S2010326315500057
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Bernik, V. I., & Götze, F. (2015). Distribution of real algebraic numbers of arbitrary degree in short intervals. Izvestiya Mathematics, 79(1), 18-39. doi:10.1070/IM2015v079n01ABEH002732
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Baake, M., Götze, F., Huck, C., & Jakobi, T. (2014). Radial spacing distributions from planar point sets. Acta crystallographica. Section A, Foundations and advances, 70(Pt 5), 472-482. doi:10.1107/S2053273314011140
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
Götze, F., & Zaitsev, A. Y. (2014). EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS. The Annals of Probability, 42(1), 354-397. doi:10.1214/13-AOP839
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Budarina, N. V., & Götze, F. (2014). Distance between conjugate algebraic numbers in clusters. Mathematical Notes, 94(5-6), 816-819. doi:10.1134/S0001434613110151
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
Götze, F., & Venker, M. (2014). LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES. The Annals of Probability, 42(6), 2207-2242. doi:10.1214/13-AOP844
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2014). Fisher information and convergence to stable laws. Bernoulli, 20(3), 1620-1646. doi:10.3150/13-BEJ535
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
Bernik, V., Götze, F., & Kukso, O. (2014). On algebraic points in the plane near smooth curves. Lithuanian Mathematical Journal, 54(3), 231-251. doi:10.1007/s10986-014-9241-0
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Bobkov, S. G., Chistyakov, G., & Götze, F. (2014). Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields, 159(3-4), 435-478. doi:10.1007/s00440-013-0510-3
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2014). Fisher information and the central limit theorem. Probability Theory and Related Fields, 159(1-2), 1-59. doi:10.1007/s00440-013-0500-5
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Bloznelis, M., & Götze, F. (2014). Preferred Attachment in Affiliation Networks. Journal of Statistical Physics, 156(4), 800-821. doi:10.1007/s10955-014-1033-8
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
Kaliada, D., Götze, F., & Kukso, O. (2014). The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Lithuanian Mathematical Journal, 54(2), 150-165. doi:10.1007/s10986-014-9234-z
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
Götze, F., & Van Zwet, W. R. (2013). THE TIMES OF YURI VASILYEVICH PROKHOROV. Theory Of Probability & Its Applications, 57(2), 306-322. doi:10.1137/S0040585X97985972
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Bobkov, S. G., Chistyakov, G., & Götze, F. (2013). Convergence to Stable Laws in Relative Entropy. Journal Of Theoretical Probability, 26(3), 803-818. doi:10.1007/s10959-011-0377-0
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Chistyakov, G., & Götze, F. (2013). Asymptotic expansions in the CLT in free probability. Probability Theory And Related Fields, 157(1-2), 107-156. doi:10.1007/s00440-012-0451-2
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
Bobkov, S. G., Chistyakov, G., & Götze, F. (2013). STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS. Theory Of Probability & Its Applications, 57(4), 568-588. doi:10.1137/S0040585X97986217
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2013). RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM. The Annals Of Probability, 41(4), 2479-2512. doi:10.1214/12-AOP780
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
Bloznelis, M., Götze, F., & Jaworski, J. (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, F., & 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. doi:10.1137/S0040585X9798573X
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bobkov, S. G., Chistyakov, G., & Götze, F. (2012). Bounds for characteristic functions in terms of quantiles and entropy. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 17, 1-9. doi:10.1214/ECP.v17-2053
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Chistyakov, G., Götze, F., & Lehner, F. (2011). Freeness of linear and quadratic forms in von Neumann algebras. Journal of Functional Analysis, 261(10), 2829-2844. doi:10.1016/j.jfa.2011.07.012
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
Chistyakov, G., & Götze, F. (2011). The arithmetic of distributions in free probability theory. Central European Journal of Mathematics, 9(5), 997-1050. doi:10.2478/s11533-011-0049-4
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
Bloznelis, M., Götze, F., Paulauskas, V., Rackauskas, A., & 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, F., & Tikhomirov, A. (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, F., & Tikhomirov, A. N. (2010). On Concentration of Empirical Measures and Convergence to the Semi-circle Law. JOURNAL OF THEORETICAL PROBABILITY, 23(3), 792-823. doi:10.1007/s10959-010-0286-7
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
Götze, F., & Tikhomirov, A. (2010). THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES. THEORY OF PROBABILITY AND ITS APPLICATIONS, 54(1), 129-U7. doi:10.1137/S0040585X97983985
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
Alexeev, N. V., Götze, F., & Tikhomirov, A. N. (2010). On the Singular Spectrum of Powers and Products of Random Matrices. DOKLADY MATHEMATICS, 82(1), 505-507. doi:10.1134/S1064562410040010
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
Götze, F., & Tikhomirov, A. (2010). THE CIRCULAR LAW FOR RANDOM MATRICES. ANNALS OF PROBABILITY, 38(4), 1444-1491. doi:10.1214/09.AOP522
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
Bobkov, S. G., & Götze, F. (2010). Concentration of empirical distribution functions with applications to non-i.i.d. models. Bernoulli, 16(4), 1385-1414. doi:10.3150/10-BEJ254
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
Beresnevich, V., Bernik, V., & Götze, F. (2010). The distribution of close conjugate algebraic numbers. COMPOSITIO MATHEMATICA, 146(5), 1165-1179. doi:10.1112/S0010437X10004860
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
Götze, F., & Zaitsev, A. Y. (2009). BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE. THEORY OF PROBABILITY AND ITS APPLICATIONS, 53(1), 59-80. doi:10.1137/S0040585X9798350X
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
Götze, F., & Kösters, H. (2009). On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 285(3), 1183-1205. doi:10.1007/s00220-008-0544-z
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Bernik, V., Götze, F., & Kukso, O. (2008). Lower bounds for the number of integral polynomials with given order of discriminants. ACTA ARITHMETICA, 133(4), 375-390.
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
Bernik, V., Götze, F., & Kukso, O. (2008). On the divisibility of the discriminant of an integral polynomial by prime powers. LITHUANIAN MATHEMATICAL JOURNAL, 48(4), 380-396. doi:10.1007/s10986-008-9025-5
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Chistyakov, G., & Götze, F. (2008). Limit theorems in free probability theory I. ANNALS OF PROBABILITY, 36(1), 54-90. doi:10.1214/009117907000000051
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Chistyakov, G., & Götze, F. (2008). Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 6(1), 87-117. doi:10.2478/s11533-008-0006-z
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Götze, F., & Gordin, M. (2008). Limit correlation functions for fixed trace random matrix ensembles. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 281(1), 203-229. doi:10.1007/s00220-008-0484-7
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Chistyakov, G., & Götze, F. (2007). Independence of linear forms with random coefficients. PROBABILITY THEORY AND RELATED FIELDS, 137(1-2), 1-24. doi:10.1007/s00440-006-0503-6
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
Götze, F., Tikhomirov, A., & Timushev, D. 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. doi:10.2478/s11533-007-0006-4
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Bobkov, S. G., & Götze, F. (2007). Concentration inequalities and limit theorems for randomized sums. PROBABILITY THEORY AND RELATED FIELDS, 137(1-2), 49-81. doi:10.1007/s00440-006-0500-9
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
Bogatyrev, S. A., Götze, F., & 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. doi:10.1016/j.jmva.2006.01.010
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Götze, F., & Tikhomirov, A. N. (2006). Limit theorems for spectra of random matrices with martingale structure. THEORY OF PROBABILITY AND ITS APPLICATIONS, 51(1), 42-64. doi:10.1137/S0040585X97982268
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Götze, F., & Tikhomirov, A. N. (2005). Asymptotic expansions in non-central limit theorems for quadratic forms. JOURNAL OF THEORETICAL PROBABILITY, 18(4), 757-811. doi:10.1007/s10959-005-7525-3
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
Gine, E., & Götze, F. (2004). On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 9, 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Götze, F., & 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, F., & Gordin, M. (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, G., & Götze, F. (2004). Distribution of the shape of Markovian random words. PROBABILITY THEORY AND RELATED FIELDS, 129(1), 18-36. doi:10.1007/s00440-003-0327-6
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Chistyakov, G., & Götze, F. (2004). Limit distributions of studentized means. ANNALS OF PROBABILITY, 32(1A), 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Götze, F. (2004). Lattice point problems and values of quadratic forms. INVENTIONES MATHEMATICAE, 157(1), 195-226. doi:10.1007/s00222-004-0366-3
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
Chistyakov, G., & Götze, F. (2003). On bounds for moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS, 48(3), 528-535. doi:10.1137/S0040585X97980610
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Götze, F., & Tikhomirov, A. (2003). Rate of convergence to the semi-circular law. PROBABILITY THEORY AND RELATED FIELDS, 127(2), 228-276. doi:10.1007/s00440-003-0285-z
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
Bobkov, S. G., & Götze, F. (2003). On the central limit theorem along subsequences of noncorrelated observations. THEORY OF PROBABILITY AND ITS APPLICATIONS, 48(4), 604-621. doi:10.1137/S0040585X97980737
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Götze, F., & 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., & Götze, F. (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, G., & Götze, F. (2002). Moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS, 47(3), 415-428. doi:10.1137/S0040585X97979846
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Götze, F., & Tikhomirov, A. N. (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., & Götze, F. (2001). Lattice points in multidimensional bodies. FORUM MATHEMATICUM, 13(2), 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
Bobkov, S. G., Götze, F., & 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., & Götze, F. (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., & Götze, F. (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, S. G., & Götze, F. (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., & Götze, F. (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., & Götze, F. (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., & Götze, F. (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, S. G., & Götze, F. (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, F., & Tikhomirov, A. N. (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, F., & Zaitsev, A. Y. (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, F., Prokhorov, Y. V., & Ulyanov, V. V. (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: 1623531
Bobkov, S. G., & Götze, F. (1998). On moments of polynomials. THEORY OF PROBABILITY AND ITS APPLICATIONS, 42(3), 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Götze, F., & Zaitsev, A. Y. (1998). Estimates for the rapid decay of concentration functions of n-fold convolutions. JOURNAL OF THEORETICAL PROBABILITY, 11(3), 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Götze, F. (1998). Lattice point problems and the central limit theorem in Euclidean spaces. Documenta Mathematica, 1998(Extra Vol. III), 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Götze, F. (1998). Errata: "Lattice point problems and the central limit theorem in Euclidean spaces". Documenta Mathematica, 1998(Extra Vol. I), 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Bentkus, V., Götze, F., & 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., & Götze, F. (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., & Götze, F. (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., & Götze, F. (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, F., & Mason, D. M. (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, P. J., Götze, F., & vanZwet, W. R. (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, F., & van Zwet, W. R. (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., & Götze, F. (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, F., Prokhorov, Y. V., & Ulyanov, V. V. (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., & Götze, F. (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, F., & 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, F., & Kunsch, H. R. (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., & Götze, F. (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., & Götze, F. (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, F., Heinrich, L., & 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., & Götze, F. (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, F., & 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., & Götze, F. (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., & Götze, F. (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, F. (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, F., & 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, F. (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, F., & 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, F. (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, F. (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, P. J., Götze, F., & Vanzwet, W. R. (1986). THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2. ANNALS OF STATISTICS, 14(4), 1463-1484.
PUB | DOI | WoS
 

Suche

Publikationen filtern

Darstellung / Sortierung

Zitationsstil: apa_indent

Export / Einbettung

125 Publikationen

Alle markieren

[125]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937723
Götze, F., Naumov, A., Spokoiny, V., & Ulyanov, V. (2019). Large ball probabilities, Gaussian comparison and anti-concentration. Bernoulli, 25(4A), 2538-2563. doi:10.3150/18-BEJ1062
PUB | DOI | WoS
 
[124]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937741
Götze, F., Sambale, H., & Sinulis, A. (2019). Higher order concentration for functions of weakly dependent random variables. Electronic Journal of Probability, 24, 85. doi:10.1214/19-EJP338
PUB | DOI | WoS
 
[123]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937338
Bobkov, S. G., Chistyakov, G., & Götze, F. (2019). Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I. IEEE Transactions on Information Theory, 65(9), 5283-5293. doi:10.1109/TIT.2019.2913313
PUB | DOI | WoS
 
[122]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936961
Götze, F., Gusakova, A., & Zaporozhets, D. (2019). Journal of Applied Probability. Journal of Applied Probability, 56(1), 39-51. doi:10.1017/jpr.2019.4
PUB | DOI | WoS
 
[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
Götze, F., Naumov, A. A., & Tikhomirov, A. N. (2019). On Optimal Bounds in the Local Semicircle Law under Four Moment Condition. DOKLADY MATHEMATICS, 99(1), 40-43. doi:10.1134/S1064562419010125
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Bobkov, S. C., Götze, F., & Sambale, H. (2019). Higher order concentration of measure. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 21(3), 1850043. doi:10.1142/S0219199718500438
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
Bobkov, S. G., Chistyakov, G., & Götze, F. (2019). RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM. ANNALS OF PROBABILITY, 47(1), 270-323. doi:10.1214/18-AOP1261
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
Götze, F., Naumov, A., Tikhomirov, A., & Timushev, D. (2018). On the local semicircular law for Wigner ensembles. BERNOULLI, 24(3), 2358-2400. doi:10.3150/17-BEJ931
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
Götze, F., Naumov, A. A., & 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. doi:10.1137/S0040585X97T988496
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
Götze, F., Eliseeva, Y. S., & Zaitsev, A. Y. (2018). ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM. THEORY OF PROBABILITY AND ITS APPLICATIONS, 62(2), 196-215. doi:10.1137/S0040585X97T988563
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
Prokhorov, Y. V., Götze, F., & 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. doi:10.1137/S0040585X97T988514
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
Götze, F., & Zaitsev, A. Y. (2018). New applications of Arak's inequalities to the Littlewood-Offord problem. EUROPEAN JOURNAL OF MATHEMATICS, 4(2), 639-663. doi:10.1007/s40879-018-0215-3
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Bobkov, S. G., Chistyakov, G., & Götze, F. (2018). Berry-Esseen bounds for typical weighted sums. ELECTRONIC JOURNAL OF PROBABILITY, 23, 92. doi:10.1214/18-EJP195
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Götze, F., Naumov, A., & Tikhomirov, A. (2017). Distribution of linear statistics of singular values of the product of random matrices. Bernoulli, 23(4B), 3067-3113. doi:10.3150/16-BEJ837
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
Götze, F., & Gusakova, A. (2017). On algebraic integers in short intervals and near smooth curves. ACTA ARITHMETICA, 179(3), 251-265. doi:10.4064/aa8333-2-2017
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Bernik, V., Budarina, N., & Götze, F. (2017). Exact upper bounds for the number of the polynomials with given discriminants. LITHUANIAN MATHEMATICAL JOURNAL, 57(3), 283-293. doi:10.1007/s10986-017-9361-4
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Götze, F., Naumov, A., & Ulyanov, V. (2017). Asymptotic Analysis of Symmetric Functions. JOURNAL OF THEORETICAL PROBABILITY, 30(3), 876-897. doi:10.1007/s10959-016-0679-3
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2017). Second-order concentration on the sphere. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 19(5), 1650058. doi:10.1142/S0219199716500589
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
Götze, F., Kaliada, D., & Zaporozhets, D. (2017). DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 145(1), 61-71. doi:10.1090/proc/13208
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Götze, F., Naumov, A. A., & Tikhomirov, A. N. (2017). Local Laws for Non-Hermitian Random Matrices. DOKLADY MATHEMATICS, 96(3), 558-560. doi:10.1134/S1064562417060072
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Beresnevich, V., Bernik, V., & Götze, F. (2016). Integral polynomials with small discriminants and resultants. ADVANCES IN MATHEMATICS, 298, 393-412. doi:10.1016/j.aim.2016.04.022
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Götze, F., & 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. doi:10.1007/s00440-015-0629-5
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2016). Regularized distributions and entropic stability of Cramer's characterization of the normal law. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 126(12), 3865-3887. doi:10.1016/j.spa.2016.04.010
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Götze, F., Eliseeva, Y. S., & Zaitsev, A. Y. (2016). Arak's inequalities for concentration functions and the Littlewood-Offord problem. DOKLADY MATHEMATICS, 93(2), 202-206. doi:10.1134/S1064562416020241
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
Götze, F., Naumov, A., & Tikhomirov, A. (2015). ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES. Acta Physica Polonica B, 46(9), 1737-1745. doi:10.5506/APhysPolB.46.1737
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
Götze, F., Naumov, A. A., & 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. doi:10.1137/S0040585X97986916
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
Götze, F., Naumov, A., & Tikhomirov, A. (2015). On minimal singular values of random matrices with correlated entries. RANDOM MATRICES-THEORY AND APPLICATIONS, 4(2), 30. doi:10.1142/S2010326315500069
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Götze, F., Kösters, H., & Tikhomirov, A. (2015). Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. RANDOM MATRICES-THEORY AND APPLICATIONS, 4(2), 85. doi:10.1142/S2010326315500057
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Bernik, V. I., & Götze, F. (2015). Distribution of real algebraic numbers of arbitrary degree in short intervals. Izvestiya Mathematics, 79(1), 18-39. doi:10.1070/IM2015v079n01ABEH002732
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Baake, M., Götze, F., Huck, C., & Jakobi, T. (2014). Radial spacing distributions from planar point sets. Acta crystallographica. Section A, Foundations and advances, 70(Pt 5), 472-482. doi:10.1107/S2053273314011140
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
Götze, F., & Zaitsev, A. Y. (2014). EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS. The Annals of Probability, 42(1), 354-397. doi:10.1214/13-AOP839
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Budarina, N. V., & Götze, F. (2014). Distance between conjugate algebraic numbers in clusters. Mathematical Notes, 94(5-6), 816-819. doi:10.1134/S0001434613110151
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
Götze, F., & Venker, M. (2014). LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES. The Annals of Probability, 42(6), 2207-2242. doi:10.1214/13-AOP844
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2014). Fisher information and convergence to stable laws. Bernoulli, 20(3), 1620-1646. doi:10.3150/13-BEJ535
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
Bernik, V., Götze, F., & Kukso, O. (2014). On algebraic points in the plane near smooth curves. Lithuanian Mathematical Journal, 54(3), 231-251. doi:10.1007/s10986-014-9241-0
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Bobkov, S. G., Chistyakov, G., & Götze, F. (2014). Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields, 159(3-4), 435-478. doi:10.1007/s00440-013-0510-3
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2014). Fisher information and the central limit theorem. Probability Theory and Related Fields, 159(1-2), 1-59. doi:10.1007/s00440-013-0500-5
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Bloznelis, M., & Götze, F. (2014). Preferred Attachment in Affiliation Networks. Journal of Statistical Physics, 156(4), 800-821. doi:10.1007/s10955-014-1033-8
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
Kaliada, D., Götze, F., & Kukso, O. (2014). The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Lithuanian Mathematical Journal, 54(2), 150-165. doi:10.1007/s10986-014-9234-z
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
Götze, F., & Van Zwet, W. R. (2013). THE TIMES OF YURI VASILYEVICH PROKHOROV. Theory Of Probability & Its Applications, 57(2), 306-322. doi:10.1137/S0040585X97985972
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Bobkov, S. G., Chistyakov, G., & Götze, F. (2013). Convergence to Stable Laws in Relative Entropy. Journal Of Theoretical Probability, 26(3), 803-818. doi:10.1007/s10959-011-0377-0
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Chistyakov, G., & Götze, F. (2013). Asymptotic expansions in the CLT in free probability. Probability Theory And Related Fields, 157(1-2), 107-156. doi:10.1007/s00440-012-0451-2
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
Bobkov, S. G., Chistyakov, G., & Götze, F. (2013). STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS. Theory Of Probability & Its Applications, 57(4), 568-588. doi:10.1137/S0040585X97986217
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
Bobkov, S. G., Chistyakov, G. P., & Götze, F. (2013). RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM. The Annals Of Probability, 41(4), 2479-2512. doi:10.1214/12-AOP780
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
Bloznelis, M., Götze, F., & Jaworski, J. (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, F., & 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. doi:10.1137/S0040585X9798573X
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bobkov, S. G., Chistyakov, G., & Götze, F. (2012). Bounds for characteristic functions in terms of quantiles and entropy. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 17, 1-9. doi:10.1214/ECP.v17-2053
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Chistyakov, G., Götze, F., & Lehner, F. (2011). Freeness of linear and quadratic forms in von Neumann algebras. Journal of Functional Analysis, 261(10), 2829-2844. doi:10.1016/j.jfa.2011.07.012
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
Chistyakov, G., & Götze, F. (2011). The arithmetic of distributions in free probability theory. Central European Journal of Mathematics, 9(5), 997-1050. doi:10.2478/s11533-011-0049-4
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
Bloznelis, M., Götze, F., Paulauskas, V., Rackauskas, A., & 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, F., & Tikhomirov, A. (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, F., & Tikhomirov, A. N. (2010). On Concentration of Empirical Measures and Convergence to the Semi-circle Law. JOURNAL OF THEORETICAL PROBABILITY, 23(3), 792-823. doi:10.1007/s10959-010-0286-7
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
Götze, F., & Tikhomirov, A. (2010). THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES. THEORY OF PROBABILITY AND ITS APPLICATIONS, 54(1), 129-U7. doi:10.1137/S0040585X97983985
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
Alexeev, N. V., Götze, F., & Tikhomirov, A. N. (2010). On the Singular Spectrum of Powers and Products of Random Matrices. DOKLADY MATHEMATICS, 82(1), 505-507. doi:10.1134/S1064562410040010
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
Götze, F., & Tikhomirov, A. (2010). THE CIRCULAR LAW FOR RANDOM MATRICES. ANNALS OF PROBABILITY, 38(4), 1444-1491. doi:10.1214/09.AOP522
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
Bobkov, S. G., & Götze, F. (2010). Concentration of empirical distribution functions with applications to non-i.i.d. models. Bernoulli, 16(4), 1385-1414. doi:10.3150/10-BEJ254
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
Beresnevich, V., Bernik, V., & Götze, F. (2010). The distribution of close conjugate algebraic numbers. COMPOSITIO MATHEMATICA, 146(5), 1165-1179. doi:10.1112/S0010437X10004860
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
Götze, F., & Zaitsev, A. Y. (2009). BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE. THEORY OF PROBABILITY AND ITS APPLICATIONS, 53(1), 59-80. doi:10.1137/S0040585X9798350X
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
Götze, F., & Kösters, H. (2009). On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 285(3), 1183-1205. doi:10.1007/s00220-008-0544-z
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Bernik, V., Götze, F., & Kukso, O. (2008). Lower bounds for the number of integral polynomials with given order of discriminants. ACTA ARITHMETICA, 133(4), 375-390.
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
Bernik, V., Götze, F., & Kukso, O. (2008). On the divisibility of the discriminant of an integral polynomial by prime powers. LITHUANIAN MATHEMATICAL JOURNAL, 48(4), 380-396. doi:10.1007/s10986-008-9025-5
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Chistyakov, G., & Götze, F. (2008). Limit theorems in free probability theory I. ANNALS OF PROBABILITY, 36(1), 54-90. doi:10.1214/009117907000000051
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Chistyakov, G., & Götze, F. (2008). Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 6(1), 87-117. doi:10.2478/s11533-008-0006-z
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Götze, F., & Gordin, M. (2008). Limit correlation functions for fixed trace random matrix ensembles. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 281(1), 203-229. doi:10.1007/s00220-008-0484-7
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Chistyakov, G., & Götze, F. (2007). Independence of linear forms with random coefficients. PROBABILITY THEORY AND RELATED FIELDS, 137(1-2), 1-24. doi:10.1007/s00440-006-0503-6
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
Götze, F., Tikhomirov, A., & Timushev, D. 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. doi:10.2478/s11533-007-0006-4
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Bobkov, S. G., & Götze, F. (2007). Concentration inequalities and limit theorems for randomized sums. PROBABILITY THEORY AND RELATED FIELDS, 137(1-2), 49-81. doi:10.1007/s00440-006-0500-9
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
Bogatyrev, S. A., Götze, F., & 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. doi:10.1016/j.jmva.2006.01.010
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Götze, F., & Tikhomirov, A. N. (2006). Limit theorems for spectra of random matrices with martingale structure. THEORY OF PROBABILITY AND ITS APPLICATIONS, 51(1), 42-64. doi:10.1137/S0040585X97982268
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Götze, F., & Tikhomirov, A. N. (2005). Asymptotic expansions in non-central limit theorems for quadratic forms. JOURNAL OF THEORETICAL PROBABILITY, 18(4), 757-811. doi:10.1007/s10959-005-7525-3
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
Gine, E., & Götze, F. (2004). On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 9, 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Götze, F., & 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, F., & Gordin, M. (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, G., & Götze, F. (2004). Distribution of the shape of Markovian random words. PROBABILITY THEORY AND RELATED FIELDS, 129(1), 18-36. doi:10.1007/s00440-003-0327-6
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Chistyakov, G., & Götze, F. (2004). Limit distributions of studentized means. ANNALS OF PROBABILITY, 32(1A), 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Götze, F. (2004). Lattice point problems and values of quadratic forms. INVENTIONES MATHEMATICAE, 157(1), 195-226. doi:10.1007/s00222-004-0366-3
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
Chistyakov, G., & Götze, F. (2003). On bounds for moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS, 48(3), 528-535. doi:10.1137/S0040585X97980610
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Götze, F., & Tikhomirov, A. (2003). Rate of convergence to the semi-circular law. PROBABILITY THEORY AND RELATED FIELDS, 127(2), 228-276. doi:10.1007/s00440-003-0285-z
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
Bobkov, S. G., & Götze, F. (2003). On the central limit theorem along subsequences of noncorrelated observations. THEORY OF PROBABILITY AND ITS APPLICATIONS, 48(4), 604-621. doi:10.1137/S0040585X97980737
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Götze, F., & 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., & Götze, F. (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, G., & Götze, F. (2002). Moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS, 47(3), 415-428. doi:10.1137/S0040585X97979846
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Götze, F., & Tikhomirov, A. N. (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., & Götze, F. (2001). Lattice points in multidimensional bodies. FORUM MATHEMATICUM, 13(2), 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
Bobkov, S. G., Götze, F., & 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., & Götze, F. (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., & Götze, F. (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, S. G., & Götze, F. (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., & Götze, F. (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., & Götze, F. (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., & Götze, F. (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, S. G., & Götze, F. (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, F., & Tikhomirov, A. N. (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, F., & Zaitsev, A. Y. (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, F., Prokhorov, Y. V., & Ulyanov, V. V. (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: 1623531
Bobkov, S. G., & Götze, F. (1998). On moments of polynomials. THEORY OF PROBABILITY AND ITS APPLICATIONS, 42(3), 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Götze, F., & Zaitsev, A. Y. (1998). Estimates for the rapid decay of concentration functions of n-fold convolutions. JOURNAL OF THEORETICAL PROBABILITY, 11(3), 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Götze, F. (1998). Lattice point problems and the central limit theorem in Euclidean spaces. Documenta Mathematica, 1998(Extra Vol. III), 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Götze, F. (1998). Errata: "Lattice point problems and the central limit theorem in Euclidean spaces". Documenta Mathematica, 1998(Extra Vol. I), 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Bentkus, V., Götze, F., & 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., & Götze, F. (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., & Götze, F. (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., & Götze, F. (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, F., & Mason, D. M. (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, P. J., Götze, F., & vanZwet, W. R. (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, F., & van Zwet, W. R. (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., & Götze, F. (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, F., Prokhorov, Y. V., & Ulyanov, V. V. (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., & Götze, F. (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, F., & 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, F., & Kunsch, H. R. (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., & Götze, F. (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., & Götze, F. (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, F., Heinrich, L., & 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., & Götze, F. (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, F., & 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., & Götze, F. (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., & Götze, F. (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, F. (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, F., & 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, F. (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, F., & 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, F. (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, F. (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, P. J., Götze, F., & Vanzwet, W. R. (1986). THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2. ANNALS OF STATISTICS, 14(4), 1463-1484.
PUB | DOI | WoS
 

Suche

Publikationen filtern

Darstellung / Sortierung

Zitationsstil: apa_indent

Export / Einbettung