121 Publikationen

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[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
F. Götze, A.A. Naumov, and A.N. Tikhomirov, “On Optimal Bounds in the Local Semicircle Law under Four Moment Condition”, DOKLADY MATHEMATICS, vol. 99, 2019, pp. 40-43.
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
S.C. Bobkov, F. Götze, and H. Sambale, “Higher order concentration of measure”, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 21, 2019, : 1850043.
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
S.G. Bobkov, G. Chistyakov, and F. Götze, “RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM”, ANNALS OF PROBABILITY, vol. 47, 2019, pp. 270-323.
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
F. Götze, et al., “On the local semicircular law for Wigner ensembles”, BERNOULLI, vol. 24, 2018, pp. 2358-2400.
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
F. Götze, A.A. Naumov, and A.N. Tikhomirov, “LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 58-83.
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
F. Götze, Y.S. Eliseeva, and A.Y. Zaitsev, “ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 196-215.
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
Y.V. Prokhorov, F. Götze, and V.V. Ulyanov, “ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 98-116.
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
F. Götze and A.Y. Zaitsev, “New applications of Arak's inequalities to the Littlewood-Offord problem”, EUROPEAN JOURNAL OF MATHEMATICS, vol. 4, 2018, pp. 639-663.
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
S.G. Bobkov, G. Chistyakov, and F. Götze, “Berry-Esseen bounds for typical weighted sums”, ELECTRONIC JOURNAL OF PROBABILITY, vol. 23, 2018, : 92.
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
F. Götze, A. Naumov, and A. Tikhomirov, “Distribution of linear statistics of singular values of the product of random matrices”, Bernoulli, vol. 23, 2017, pp. 3067-3113.
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
F. Götze and A. Gusakova, “On algebraic integers in short intervals and near smooth curves”, ACTA ARITHMETICA, vol. 179, 2017, pp. 251-265.
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
V. Bernik, N. Budarina, and F. Götze, “Exact upper bounds for the number of the polynomials with given discriminants”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 57, 2017, pp. 283-293.
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
F. Götze, A. Naumov, and V. Ulyanov, “Asymptotic Analysis of Symmetric Functions”, JOURNAL OF THEORETICAL PROBABILITY, vol. 30, 2017, pp. 876-897.
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Second-order concentration on the sphere”, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 19, 2017, : 1650058.
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
F. Götze, D. Kaliada, and D. Zaporozhets, “DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS”, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 145, 2017, pp. 61-71.
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
F. Götze, A.A. Naumov, and A.N. Tikhomirov, “Local Laws for Non-Hermitian Random Matrices”, DOKLADY MATHEMATICS, vol. 96, 2017, pp. 558-560.
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
V. Beresnevich, V. Bernik, and F. Götze, “Integral polynomials with small discriminants and resultants”, ADVANCES IN MATHEMATICS, vol. 298, 2016, pp. 393-412.
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
F. Götze and A. Tikhomirov, “Optimal bounds for convergence of expected spectral distributions to the semi-circular law”, PROBABILITY THEORY AND RELATED FIELDS, vol. 165, 2016, pp. 163-233.
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Regularized distributions and entropic stability of Cramer's characterization of the normal law”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 126, 2016, pp. 3865-3887.
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
F. Götze, Y.S. Eliseeva, and A.Y. Zaitsev, “Arak's inequalities for concentration functions and the Littlewood-Offord problem”, DOKLADY MATHEMATICS, vol. 93, 2016, pp. 202-206.
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
F. Götze, A. Naumov, and A. Tikhomirov, “ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES”, Acta Physica Polonica B, vol. 46, 2015, pp. 1737-1745.
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
F. Götze, A.A. Naumov, and A.N. Tikhomirov, “LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 59, 2015, pp. 23-39.
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
F. Götze, A. Naumov, and A. Tikhomirov, “On minimal singular values of random matrices with correlated entries”, RANDOM MATRICES-THEORY AND APPLICATIONS, vol. 4, 2015, : 30.
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
F. Götze, H. Kösters, and A. Tikhomirov, “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”, RANDOM MATRICES-THEORY AND APPLICATIONS, vol. 4, 2015, : 85.
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
V.I. Bernik and F. Götze, “Distribution of real algebraic numbers of arbitrary degree in short intervals”, Izvestiya Mathematics, vol. 79, 2015, pp. 18-39.
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
M. Baake, et al., “Radial spacing distributions from planar point sets”, Acta crystallographica. Section A, Foundations and advances, vol. 70, 2014, pp. 472-482.
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
F. Götze and A.Y. Zaitsev, “EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS”, The Annals of Probability, vol. 42, 2014, pp. 354-397.
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
N.V. Budarina and F. Götze, “Distance between conjugate algebraic numbers in clusters”, Mathematical Notes, vol. 94, 2014, pp. 816-819.
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
F. Götze and M. Venker, “LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES”, The Annals of Probability, vol. 42, 2014, pp. 2207-2242.
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Fisher information and convergence to stable laws”, Bernoulli, vol. 20, 2014, pp. 1620-1646.
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
V. Bernik, F. Götze, and O. Kukso, “On algebraic points in the plane near smooth curves”, Lithuanian Mathematical Journal, vol. 54, 2014, pp. 231-251.
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
S.G. Bobkov, G. Chistyakov, and F. Götze, “Berry-Esseen bounds in the entropic central limit theorem”, Probability Theory and Related Fields, vol. 159, 2014, pp. 435-478.
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Fisher information and the central limit theorem”, Probability Theory and Related Fields, vol. 159, 2014, pp. 1-59.
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
M. Bloznelis and F. Götze, “Preferred Attachment in Affiliation Networks”, Journal of Statistical Physics, vol. 156, 2014, pp. 800-821.
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
D. Kaliada, F. Götze, and O. Kukso, “The asymptotic number of integral cubic polynomials with bounded heights and discriminants”, Lithuanian Mathematical Journal, vol. 54, 2014, pp. 150-165.
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
F. Götze and W.R. Van Zwet, “THE TIMES OF YURI VASILYEVICH PROKHOROV”, Theory Of Probability & Its Applications, vol. 57, 2013, pp. 306-322.
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
S.G. Bobkov, G. Chistyakov, and F. Götze, “Convergence to Stable Laws in Relative Entropy”, Journal Of Theoretical Probability, vol. 26, 2013, pp. 803-818.
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
G. Chistyakov and F. Götze, “Asymptotic expansions in the CLT in free probability”, Probability Theory And Related Fields, vol. 157, 2013, pp. 107-156.
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
S.G. Bobkov, G. Chistyakov, and F. Götze, “STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS”, Theory Of Probability & Its Applications, vol. 57, 2013, pp. 568-588.
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM”, The Annals Of Probability, vol. 41, 2013, pp. 2479-2512.
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
M. Bloznelis, F. Götze, and J. Jaworski, “BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH”, Journal of Applied Probability, vol. 49, 2012, pp. 601-611.
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
F. Götze and D. Zaporozhets, “ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS”, Theory Of Probability & Its Applications, vol. 56, 2012, pp. 696-U217.
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
S.G. Bobkov, G. Chistyakov, and F. Götze, “Bounds for characteristic functions in terms of quantiles and entropy”, ELECTRONIC COMMUNICATIONS IN PROBABILITY, vol. 17, 2012, pp. 1-9.
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
G. Chistyakov, F. Götze, and F. Lehner, “Freeness of linear and quadratic forms in von Neumann algebras”, Journal of Functional Analysis, vol. 261, 2011, pp. 2829-2844.
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
G. Chistyakov and F. Götze, “The arithmetic of distributions in free probability theory”, Central European Journal of Mathematics, vol. 9, 2011, pp. 997-1050.
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
M. Bloznelis, et al., “VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM”, Lithuanian Mathematical Journal, vol. 50, 2010, pp. 367-371.
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
N. Alexeev, F. Götze, and A. Tikhomirov, “ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 50, 2010, pp. 121-132.
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
S.G. Bobkov, F. Götze, and A.N. Tikhomirov, “On Concentration of Empirical Measures and Convergence to the Semi-circle Law”, JOURNAL OF THEORETICAL PROBABILITY, vol. 23, 2010, pp. 792-823.
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
F. Götze and A. Tikhomirov, “THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 54, 2010, pp. 129-U7.
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
N.V. Alexeev, F. Götze, and A.N. Tikhomirov, “On the Singular Spectrum of Powers and Products of Random Matrices”, DOKLADY MATHEMATICS, vol. 82, 2010, pp. 505-507.
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
F. Götze and A. Tikhomirov, “THE CIRCULAR LAW FOR RANDOM MATRICES”, ANNALS OF PROBABILITY, vol. 38, 2010, pp. 1444-1491.
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
S.G. Bobkov and F. Götze, “Concentration of empirical distribution functions with applications to non-i.i.d. models”, Bernoulli, vol. 16, 2010, pp. 1385-1414.
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
V. Beresnevich, V. Bernik, and F. Götze, “The distribution of close conjugate algebraic numbers”, COMPOSITIO MATHEMATICA, vol. 146, 2010, pp. 1165-1179.
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
F. Götze and A.Y. Zaitsev, “BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 53, 2009, pp. 59-80.
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
F. Götze and H. Kösters, “On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 285, 2009, pp. 1183-1205.
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
V. Bernik, F. Götze, and O. Kukso, “Lower bounds for the number of integral polynomials with given order of discriminants”, ACTA ARITHMETICA, vol. 133, 2008, pp. 375-390.
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
V. Bernik, F. Götze, and O. Kukso, “On the divisibility of the discriminant of an integral polynomial by prime powers”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 48, 2008, pp. 380-396.
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
G. Chistyakov and F. Götze, “Limit theorems in free probability theory I”, ANNALS OF PROBABILITY, vol. 36, 2008, pp. 54-90.
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
G. Chistyakov and F. Götze, “Limit theorems in free probability theory II”, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 6, 2008, pp. 87-117.
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
F. Götze and M. Gordin, “Limit correlation functions for fixed trace random matrix ensembles”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 281, 2008, pp. 203-229.
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
G. Chistyakov and F. Götze, “Independence of linear forms with random coefficients”, PROBABILITY THEORY AND RELATED FIELDS, vol. 137, 2007, pp. 1-24.
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
F. Götze, A. Tikhomirov, and D.A. Timushev, “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 5, 2007, pp. 305-334.
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
S.G. Bobkov and F. Götze, “Concentration inequalities and limit theorems for randomized sums”, PROBABILITY THEORY AND RELATED FIELDS, vol. 137, 2007, pp. 49-81.
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
S.A. Bogatyrev, F. Götze, and V.V. Ulyanov, “Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space”, JOURNAL OF MULTIVARIATE ANALYSIS, vol. 97, 2006, pp. 2041-2056.
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
F. Götze and A.N. Tikhomirov, “Limit theorems for spectra of random matrices with martingale structure”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 51, 2006, pp. 42-64.
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
F. Götze and A.N. Tikhomirov, “Asymptotic expansions in non-central limit theorems for quadratic forms”, JOURNAL OF THEORETICAL PROBABILITY, vol. 18, 2005, pp. 757-811.
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
E. Gine and F. Götze, “On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors”, ELECTRONIC COMMUNICATIONS IN PROBABILITY, vol. 9, 2004, pp. 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
F. Götze and A. Tikhomirov, “Rate of convergence in probability to the Marchenko-Pastur law”, BERNOULLI, vol. 10, 2004, pp. 503-548.
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
F. Götze and M. Gordin, “Limiting distributions of theta series on Siegel half-spaces”, St. Petersburg mathematical journal, vol. 15, 2004, pp. 81-102.
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
G. Chistyakov and F. Götze, “Distribution of the shape of Markovian random words”, PROBABILITY THEORY AND RELATED FIELDS, vol. 129, 2004, pp. 18-36.
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
G. Chistyakov and F. Götze, “Limit distributions of studentized means”, ANNALS OF PROBABILITY, vol. 32, 2004, pp. 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
F. Götze, “Lattice point problems and values of quadratic forms”, INVENTIONES MATHEMATICAE, vol. 157, 2004, pp. 195-226.
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
G. Chistyakov and F. Götze, “On bounds for moderate deviations for student's statistic”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 48, 2003, pp. 528-535.
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
F. Götze and A. Tikhomirov, “Rate of convergence to the semi-circular law”, PROBABILITY THEORY AND RELATED FIELDS, vol. 127, 2003, pp. 228-276.
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
S.G. Bobkov and F. Götze, “On the central limit theorem along subsequences of noncorrelated observations”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 48, 2003, pp. 604-621.
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
F. Götze and A. Tikhomirov, “Asymptotic distribution of quadratic forms and applications”, JOURNAL OF THEORETICAL PROBABILITY, vol. 15, 2002, pp. 423-475.
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
M. Bloznelis and F. Götze, “An Edgeworth expansion for symmetric finite population statistics”, ANNALS OF PROBABILITY, vol. 30, 2002, pp. 1238-1265.
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
G. Chistyakov and F. Götze, “Moderate deviations for student's statistic”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 47, 2002, pp. 415-428.
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
F. Götze and A.N. Tikhomirov, “Rate of convergence to the semicircular law for the Gaussian unitary ensemble”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 47, 2002, pp. 323-330.
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
V. Bentkus and F. Götze, “Lattice points in multidimensional bodies”, FORUM MATHEMATICUM, vol. 13, 2001, pp. 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
S.G. Bobkov, F. Götze, and C. Houdre, “On Gaussian and Bernoulli covariance representations”, BERNOULLI, vol. 7, 2001, pp. 439-451.
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952
M. Bloznelis and F. Götze, “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”, ANNALS OF STATISTICS, vol. 29, 2001, pp. 899-917.
PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
M. Bloznelis and F. Götze, “An edgeworth expansion for finite-population U-statistics”, BERNOULLI, vol. 6, 2000, pp. 729-760.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
S.G. Bobkov and F. Götze, “Discrete isoperimetric and Poincare-type inequalities”, PROBABILITY THEORY AND RELATED FIELDS, vol. 114, 1999, pp. 245-277.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
M. Bloznelis and F. Götze, “One-term Edgeworth expansion for finite population U-statistics of degree two”, ACTA APPLICANDAE MATHEMATICAE, vol. 58, 1999, pp. 75-90.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
V. Bentkus and F. Götze, “Optimal bounds in non-Gaussian limit theorems for U-statistics”, ANNALS OF PROBABILITY, vol. 27, 1999, pp. 454-521.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
S.G. Bobkov and F. Götze, “Exponential integrability and transportation cost related to logarithmic sobolev inequalities”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 163, 1999, pp. 1-28.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
V. Bentkus and F. Götze, “Lattice point problems and distribution of values of quadratic forms”, ANNALS OF MATHEMATICS, vol. 150, 1999, pp. 977-1027.
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
F. Götze and A.N. Tikhomirov, “Asymptotic distribution of quadratic forms”, ANNALS OF PROBABILITY, vol. 27, 1999, pp. 1072-1098.
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
V. Bentkus, F. Götze, and A.Y. Zaitsev, “Approximation of quadratic forms of independent random vectors by accompanying laws”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 189-212.
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
F. Götze, Y.V. Prokhorov, and V.V. Ulyanov, “On smooth behavior of probability distributions under polynomial mappings”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 28-38.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
S.G. Bobkov and F. Götze, “On moments of polynomials”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
F. Götze and A.Y. Zaitsev, “Estimates for the rapid decay of concentration functions of n-fold convolutions”, JOURNAL OF THEORETICAL PROBABILITY, vol. 11, 1998, pp. 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
F. Götze, “Lattice point problems and the central limit theorem in Euclidean spaces”, Documenta Mathematica, vol. 1998, 1998, pp. 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
F. Götze, “Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"”, Documenta Mathematica, vol. 1998, 1998, pp. 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
V. Bentkus, F. Götze, and A. Tikhomirov, “Berry-Esseen bounds for statistics of weakly dependent samples”, BERNOULLI, vol. 3, 1997, pp. 329-349.
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
V. Bentkus, M. Bloznelis, and F. Götze, “A Berry-Esseen bound for M-estimators”, SCANDINAVIAN JOURNAL OF STATISTICS, vol. 24, 1997, pp. 485-502.
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698
V. Bentkus and F. Götze, “Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces”, PROBABILITY THEORY AND RELATED FIELDS, vol. 109, 1997, pp. 367-416.
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
V. Bentkus and F. Götze, “On the lattice point problem for ellipsoids”, ACTA ARITHMETICA, vol. 80, 1997, pp. 101-125.
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
E. Gine, F. Götze, and D.M. Mason, “When is the student t-statistic asymptotically standard normal?”, ANNALS OF PROBABILITY, vol. 25, 1997, pp. 1514-1531.
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
P.J. Bickel, F. Götze, and W.R. vanZwet, “Resampling fewer than n observations: Gains, losses, and remedies for losses”, STATISTICA SINICA, vol. 7, 1997, pp. 1-31.
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
V. Bentkus, F. Götze, and W.R. van Zwet, “An Edgeworth expansion for symmetric statistics”, ANNALS OF STATISTICS, vol. 25, 1997, pp. 851-896.
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
V. Bentkus and F. Götze, “On minimal moment assumptions in Berry-Esseen theorems for U-statistics”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 40, 1996, pp. 430-445.
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
F. Götze, Y.V. Prokhorov, and V.V. Ulyanov, “Bounds for characteristic functions of polynomials in asymptotically normal random variables”, RUSSIAN MATHEMATICAL SURVEYS, vol. 51, 1996, pp. 181-204.
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739
V. Bentkus, M. Bloznelis, and F. Götze, “A Berry-Esseen bound for student's statistic in the non-iid case”, JOURNAL OF THEORETICAL PROBABILITY, vol. 9, 1996, pp. 765-796.
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
V. Bentkus, F. Götze, and V. Paulauskas, “Bounds for the accuracy of Poissonian approximations of stable laws”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 65, 1996, pp. 55-68.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
F. Götze and H.R. Kunsch, “Second-order correctness of the blockwise bootstrap for stationary observations”, ANNALS OF STATISTICS, vol. 24, 1996, pp. 1914-1933.
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
V. Bentkus and F. Götze, “The Berry-Esseen bound for student's statistic”, ANNALS OF PROBABILITY, vol. 24, 1996, pp. 491-503.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
V. Bentkus and F. Götze, “Optimal rates of convergence in the CLT for quadratic forms”, ANNALS OF PROBABILITY, vol. 24, 1996, pp. 466-490.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
F. Götze, L. Heinrich, and C. Hipp, “M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION”, SCANDINAVIAN JOURNAL OF STATISTICS, vol. 22, 1995, pp. 183-195.
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
V. Bentkus and F. Götze, “ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS”, DOKLADY AKADEMII NAUK, vol. 343, 1995, pp. 439-440.
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
F. Götze and C. Hipp, “ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES”, ANNALS OF STATISTICS, vol. 22, 1994, pp. 2062-2088.
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
V. Bentkus and F. Götze, “ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES”, PROBABILITY THEORY AND RELATED FIELDS, vol. 96, 1993, pp. 137-151.
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
E. Bolthausen and F. Götze, “THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS”, ANNALS OF STATISTICS, vol. 21, 1993, pp. 1692-1710.
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
F. Götze, “ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT”, ANNALS OF PROBABILITY, vol. 19, 1991, pp. 724-739.
PUB | DOI | WoS
 
[6]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279
F. Götze and C. Hipp, “LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD”, ANNALS OF PROBABILITY, vol. 18, 1990, pp. 810-828.
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
F. Götze and C. HIPP, “ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS”, PROBABILITY THEORY AND RELATED FIELDS, vol. 82, 1989, pp. 349-370.
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
F. Götze, “EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS”, ANNALS OF PROBABILITY, vol. 17, 1989, pp. 1602-1634.
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
F. Götze, “APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS”, JOURNAL OF MULTIVARIATE ANALYSIS, vol. 22, 1987, pp. 212-229.
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
F. Götze, “ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES”, ANNALS OF PROBABILITY, vol. 14, 1986, pp. 922-942.
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
P.J. Bickel, F. Götze, and W.R. Vanzwet, “THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2”, ANNALS OF STATISTICS, vol. 14, 1986, pp. 1463-1484.
PUB | DOI | WoS
 

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[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
F. Götze, A.A. Naumov, and A.N. Tikhomirov, “On Optimal Bounds in the Local Semicircle Law under Four Moment Condition”, DOKLADY MATHEMATICS, vol. 99, 2019, pp. 40-43.
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
S.C. Bobkov, F. Götze, and H. Sambale, “Higher order concentration of measure”, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 21, 2019, : 1850043.
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
S.G. Bobkov, G. Chistyakov, and F. Götze, “RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM”, ANNALS OF PROBABILITY, vol. 47, 2019, pp. 270-323.
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
F. Götze, et al., “On the local semicircular law for Wigner ensembles”, BERNOULLI, vol. 24, 2018, pp. 2358-2400.
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
F. Götze, A.A. Naumov, and A.N. Tikhomirov, “LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 58-83.
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
F. Götze, Y.S. Eliseeva, and A.Y. Zaitsev, “ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 196-215.
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
Y.V. Prokhorov, F. Götze, and V.V. Ulyanov, “ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 62, 2018, pp. 98-116.
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
F. Götze and A.Y. Zaitsev, “New applications of Arak's inequalities to the Littlewood-Offord problem”, EUROPEAN JOURNAL OF MATHEMATICS, vol. 4, 2018, pp. 639-663.
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
S.G. Bobkov, G. Chistyakov, and F. Götze, “Berry-Esseen bounds for typical weighted sums”, ELECTRONIC JOURNAL OF PROBABILITY, vol. 23, 2018, : 92.
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
F. Götze, A. Naumov, and A. Tikhomirov, “Distribution of linear statistics of singular values of the product of random matrices”, Bernoulli, vol. 23, 2017, pp. 3067-3113.
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
F. Götze and A. Gusakova, “On algebraic integers in short intervals and near smooth curves”, ACTA ARITHMETICA, vol. 179, 2017, pp. 251-265.
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
V. Bernik, N. Budarina, and F. Götze, “Exact upper bounds for the number of the polynomials with given discriminants”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 57, 2017, pp. 283-293.
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
F. Götze, A. Naumov, and V. Ulyanov, “Asymptotic Analysis of Symmetric Functions”, JOURNAL OF THEORETICAL PROBABILITY, vol. 30, 2017, pp. 876-897.
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Second-order concentration on the sphere”, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 19, 2017, : 1650058.
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
F. Götze, D. Kaliada, and D. Zaporozhets, “DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS”, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 145, 2017, pp. 61-71.
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
F. Götze, A.A. Naumov, and A.N. Tikhomirov, “Local Laws for Non-Hermitian Random Matrices”, DOKLADY MATHEMATICS, vol. 96, 2017, pp. 558-560.
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
V. Beresnevich, V. Bernik, and F. Götze, “Integral polynomials with small discriminants and resultants”, ADVANCES IN MATHEMATICS, vol. 298, 2016, pp. 393-412.
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
F. Götze and A. Tikhomirov, “Optimal bounds for convergence of expected spectral distributions to the semi-circular law”, PROBABILITY THEORY AND RELATED FIELDS, vol. 165, 2016, pp. 163-233.
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Regularized distributions and entropic stability of Cramer's characterization of the normal law”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 126, 2016, pp. 3865-3887.
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
F. Götze, Y.S. Eliseeva, and A.Y. Zaitsev, “Arak's inequalities for concentration functions and the Littlewood-Offord problem”, DOKLADY MATHEMATICS, vol. 93, 2016, pp. 202-206.
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
F. Götze, A. Naumov, and A. Tikhomirov, “ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES”, Acta Physica Polonica B, vol. 46, 2015, pp. 1737-1745.
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
F. Götze, A.A. Naumov, and A.N. Tikhomirov, “LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 59, 2015, pp. 23-39.
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
F. Götze, A. Naumov, and A. Tikhomirov, “On minimal singular values of random matrices with correlated entries”, RANDOM MATRICES-THEORY AND APPLICATIONS, vol. 4, 2015, : 30.
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
F. Götze, H. Kösters, and A. Tikhomirov, “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”, RANDOM MATRICES-THEORY AND APPLICATIONS, vol. 4, 2015, : 85.
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
V.I. Bernik and F. Götze, “Distribution of real algebraic numbers of arbitrary degree in short intervals”, Izvestiya Mathematics, vol. 79, 2015, pp. 18-39.
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
M. Baake, et al., “Radial spacing distributions from planar point sets”, Acta crystallographica. Section A, Foundations and advances, vol. 70, 2014, pp. 472-482.
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
F. Götze and A.Y. Zaitsev, “EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS”, The Annals of Probability, vol. 42, 2014, pp. 354-397.
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
N.V. Budarina and F. Götze, “Distance between conjugate algebraic numbers in clusters”, Mathematical Notes, vol. 94, 2014, pp. 816-819.
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
F. Götze and M. Venker, “LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES”, The Annals of Probability, vol. 42, 2014, pp. 2207-2242.
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Fisher information and convergence to stable laws”, Bernoulli, vol. 20, 2014, pp. 1620-1646.
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
V. Bernik, F. Götze, and O. Kukso, “On algebraic points in the plane near smooth curves”, Lithuanian Mathematical Journal, vol. 54, 2014, pp. 231-251.
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
S.G. Bobkov, G. Chistyakov, and F. Götze, “Berry-Esseen bounds in the entropic central limit theorem”, Probability Theory and Related Fields, vol. 159, 2014, pp. 435-478.
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “Fisher information and the central limit theorem”, Probability Theory and Related Fields, vol. 159, 2014, pp. 1-59.
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
M. Bloznelis and F. Götze, “Preferred Attachment in Affiliation Networks”, Journal of Statistical Physics, vol. 156, 2014, pp. 800-821.
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
D. Kaliada, F. Götze, and O. Kukso, “The asymptotic number of integral cubic polynomials with bounded heights and discriminants”, Lithuanian Mathematical Journal, vol. 54, 2014, pp. 150-165.
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
F. Götze and W.R. Van Zwet, “THE TIMES OF YURI VASILYEVICH PROKHOROV”, Theory Of Probability & Its Applications, vol. 57, 2013, pp. 306-322.
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
S.G. Bobkov, G. Chistyakov, and F. Götze, “Convergence to Stable Laws in Relative Entropy”, Journal Of Theoretical Probability, vol. 26, 2013, pp. 803-818.
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
G. Chistyakov and F. Götze, “Asymptotic expansions in the CLT in free probability”, Probability Theory And Related Fields, vol. 157, 2013, pp. 107-156.
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
S.G. Bobkov, G. Chistyakov, and F. Götze, “STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS”, Theory Of Probability & Its Applications, vol. 57, 2013, pp. 568-588.
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
S.G. Bobkov, G.P. Chistyakov, and F. Götze, “RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM”, The Annals Of Probability, vol. 41, 2013, pp. 2479-2512.
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
M. Bloznelis, F. Götze, and J. Jaworski, “BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH”, Journal of Applied Probability, vol. 49, 2012, pp. 601-611.
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
F. Götze and D. Zaporozhets, “ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS”, Theory Of Probability & Its Applications, vol. 56, 2012, pp. 696-U217.
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
S.G. Bobkov, G. Chistyakov, and F. Götze, “Bounds for characteristic functions in terms of quantiles and entropy”, ELECTRONIC COMMUNICATIONS IN PROBABILITY, vol. 17, 2012, pp. 1-9.
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
G. Chistyakov, F. Götze, and F. Lehner, “Freeness of linear and quadratic forms in von Neumann algebras”, Journal of Functional Analysis, vol. 261, 2011, pp. 2829-2844.
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
G. Chistyakov and F. Götze, “The arithmetic of distributions in free probability theory”, Central European Journal of Mathematics, vol. 9, 2011, pp. 997-1050.
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
M. Bloznelis, et al., “VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM”, Lithuanian Mathematical Journal, vol. 50, 2010, pp. 367-371.
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
N. Alexeev, F. Götze, and A. Tikhomirov, “ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 50, 2010, pp. 121-132.
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
S.G. Bobkov, F. Götze, and A.N. Tikhomirov, “On Concentration of Empirical Measures and Convergence to the Semi-circle Law”, JOURNAL OF THEORETICAL PROBABILITY, vol. 23, 2010, pp. 792-823.
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
F. Götze and A. Tikhomirov, “THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 54, 2010, pp. 129-U7.
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
N.V. Alexeev, F. Götze, and A.N. Tikhomirov, “On the Singular Spectrum of Powers and Products of Random Matrices”, DOKLADY MATHEMATICS, vol. 82, 2010, pp. 505-507.
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
F. Götze and A. Tikhomirov, “THE CIRCULAR LAW FOR RANDOM MATRICES”, ANNALS OF PROBABILITY, vol. 38, 2010, pp. 1444-1491.
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
S.G. Bobkov and F. Götze, “Concentration of empirical distribution functions with applications to non-i.i.d. models”, Bernoulli, vol. 16, 2010, pp. 1385-1414.
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
V. Beresnevich, V. Bernik, and F. Götze, “The distribution of close conjugate algebraic numbers”, COMPOSITIO MATHEMATICA, vol. 146, 2010, pp. 1165-1179.
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
F. Götze and A.Y. Zaitsev, “BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 53, 2009, pp. 59-80.
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
F. Götze and H. Kösters, “On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 285, 2009, pp. 1183-1205.
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
V. Bernik, F. Götze, and O. Kukso, “Lower bounds for the number of integral polynomials with given order of discriminants”, ACTA ARITHMETICA, vol. 133, 2008, pp. 375-390.
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
V. Bernik, F. Götze, and O. Kukso, “On the divisibility of the discriminant of an integral polynomial by prime powers”, LITHUANIAN MATHEMATICAL JOURNAL, vol. 48, 2008, pp. 380-396.
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
G. Chistyakov and F. Götze, “Limit theorems in free probability theory I”, ANNALS OF PROBABILITY, vol. 36, 2008, pp. 54-90.
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
G. Chistyakov and F. Götze, “Limit theorems in free probability theory II”, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 6, 2008, pp. 87-117.
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
F. Götze and M. Gordin, “Limit correlation functions for fixed trace random matrix ensembles”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 281, 2008, pp. 203-229.
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
G. Chistyakov and F. Götze, “Independence of linear forms with random coefficients”, PROBABILITY THEORY AND RELATED FIELDS, vol. 137, 2007, pp. 1-24.
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
F. Götze, A. Tikhomirov, and D.A. Timushev, “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 5, 2007, pp. 305-334.
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
S.G. Bobkov and F. Götze, “Concentration inequalities and limit theorems for randomized sums”, PROBABILITY THEORY AND RELATED FIELDS, vol. 137, 2007, pp. 49-81.
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
S.A. Bogatyrev, F. Götze, and V.V. Ulyanov, “Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space”, JOURNAL OF MULTIVARIATE ANALYSIS, vol. 97, 2006, pp. 2041-2056.
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
F. Götze and A.N. Tikhomirov, “Limit theorems for spectra of random matrices with martingale structure”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 51, 2006, pp. 42-64.
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
F. Götze and A.N. Tikhomirov, “Asymptotic expansions in non-central limit theorems for quadratic forms”, JOURNAL OF THEORETICAL PROBABILITY, vol. 18, 2005, pp. 757-811.
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
E. Gine and F. Götze, “On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors”, ELECTRONIC COMMUNICATIONS IN PROBABILITY, vol. 9, 2004, pp. 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
F. Götze and A. Tikhomirov, “Rate of convergence in probability to the Marchenko-Pastur law”, BERNOULLI, vol. 10, 2004, pp. 503-548.
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
F. Götze and M. Gordin, “Limiting distributions of theta series on Siegel half-spaces”, St. Petersburg mathematical journal, vol. 15, 2004, pp. 81-102.
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
G. Chistyakov and F. Götze, “Distribution of the shape of Markovian random words”, PROBABILITY THEORY AND RELATED FIELDS, vol. 129, 2004, pp. 18-36.
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
G. Chistyakov and F. Götze, “Limit distributions of studentized means”, ANNALS OF PROBABILITY, vol. 32, 2004, pp. 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
F. Götze, “Lattice point problems and values of quadratic forms”, INVENTIONES MATHEMATICAE, vol. 157, 2004, pp. 195-226.
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
G. Chistyakov and F. Götze, “On bounds for moderate deviations for student's statistic”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 48, 2003, pp. 528-535.
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
F. Götze and A. Tikhomirov, “Rate of convergence to the semi-circular law”, PROBABILITY THEORY AND RELATED FIELDS, vol. 127, 2003, pp. 228-276.
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
S.G. Bobkov and F. Götze, “On the central limit theorem along subsequences of noncorrelated observations”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 48, 2003, pp. 604-621.
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
F. Götze and A. Tikhomirov, “Asymptotic distribution of quadratic forms and applications”, JOURNAL OF THEORETICAL PROBABILITY, vol. 15, 2002, pp. 423-475.
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
M. Bloznelis and F. Götze, “An Edgeworth expansion for symmetric finite population statistics”, ANNALS OF PROBABILITY, vol. 30, 2002, pp. 1238-1265.
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
G. Chistyakov and F. Götze, “Moderate deviations for student's statistic”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 47, 2002, pp. 415-428.
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
F. Götze and A.N. Tikhomirov, “Rate of convergence to the semicircular law for the Gaussian unitary ensemble”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 47, 2002, pp. 323-330.
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
V. Bentkus and F. Götze, “Lattice points in multidimensional bodies”, FORUM MATHEMATICUM, vol. 13, 2001, pp. 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
S.G. Bobkov, F. Götze, and C. Houdre, “On Gaussian and Bernoulli covariance representations”, BERNOULLI, vol. 7, 2001, pp. 439-451.
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952
M. Bloznelis and F. Götze, “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”, ANNALS OF STATISTICS, vol. 29, 2001, pp. 899-917.
PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
M. Bloznelis and F. Götze, “An edgeworth expansion for finite-population U-statistics”, BERNOULLI, vol. 6, 2000, pp. 729-760.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
S.G. Bobkov and F. Götze, “Discrete isoperimetric and Poincare-type inequalities”, PROBABILITY THEORY AND RELATED FIELDS, vol. 114, 1999, pp. 245-277.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
M. Bloznelis and F. Götze, “One-term Edgeworth expansion for finite population U-statistics of degree two”, ACTA APPLICANDAE MATHEMATICAE, vol. 58, 1999, pp. 75-90.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
V. Bentkus and F. Götze, “Optimal bounds in non-Gaussian limit theorems for U-statistics”, ANNALS OF PROBABILITY, vol. 27, 1999, pp. 454-521.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
S.G. Bobkov and F. Götze, “Exponential integrability and transportation cost related to logarithmic sobolev inequalities”, JOURNAL OF FUNCTIONAL ANALYSIS, vol. 163, 1999, pp. 1-28.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
V. Bentkus and F. Götze, “Lattice point problems and distribution of values of quadratic forms”, ANNALS OF MATHEMATICS, vol. 150, 1999, pp. 977-1027.
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
F. Götze and A.N. Tikhomirov, “Asymptotic distribution of quadratic forms”, ANNALS OF PROBABILITY, vol. 27, 1999, pp. 1072-1098.
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
V. Bentkus, F. Götze, and A.Y. Zaitsev, “Approximation of quadratic forms of independent random vectors by accompanying laws”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 189-212.
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
F. Götze, Y.V. Prokhorov, and V.V. Ulyanov, “On smooth behavior of probability distributions under polynomial mappings”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 28-38.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
S.G. Bobkov and F. Götze, “On moments of polynomials”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 42, 1998, pp. 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
F. Götze and A.Y. Zaitsev, “Estimates for the rapid decay of concentration functions of n-fold convolutions”, JOURNAL OF THEORETICAL PROBABILITY, vol. 11, 1998, pp. 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
F. Götze, “Lattice point problems and the central limit theorem in Euclidean spaces”, Documenta Mathematica, vol. 1998, 1998, pp. 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
F. Götze, “Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"”, Documenta Mathematica, vol. 1998, 1998, pp. 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
V. Bentkus, F. Götze, and A. Tikhomirov, “Berry-Esseen bounds for statistics of weakly dependent samples”, BERNOULLI, vol. 3, 1997, pp. 329-349.
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
V. Bentkus, M. Bloznelis, and F. Götze, “A Berry-Esseen bound for M-estimators”, SCANDINAVIAN JOURNAL OF STATISTICS, vol. 24, 1997, pp. 485-502.
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698
V. Bentkus and F. Götze, “Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces”, PROBABILITY THEORY AND RELATED FIELDS, vol. 109, 1997, pp. 367-416.
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
V. Bentkus and F. Götze, “On the lattice point problem for ellipsoids”, ACTA ARITHMETICA, vol. 80, 1997, pp. 101-125.
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
E. Gine, F. Götze, and D.M. Mason, “When is the student t-statistic asymptotically standard normal?”, ANNALS OF PROBABILITY, vol. 25, 1997, pp. 1514-1531.
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
P.J. Bickel, F. Götze, and W.R. vanZwet, “Resampling fewer than n observations: Gains, losses, and remedies for losses”, STATISTICA SINICA, vol. 7, 1997, pp. 1-31.
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
V. Bentkus, F. Götze, and W.R. van Zwet, “An Edgeworth expansion for symmetric statistics”, ANNALS OF STATISTICS, vol. 25, 1997, pp. 851-896.
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
V. Bentkus and F. Götze, “On minimal moment assumptions in Berry-Esseen theorems for U-statistics”, THEORY OF PROBABILITY AND ITS APPLICATIONS, vol. 40, 1996, pp. 430-445.
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
F. Götze, Y.V. Prokhorov, and V.V. Ulyanov, “Bounds for characteristic functions of polynomials in asymptotically normal random variables”, RUSSIAN MATHEMATICAL SURVEYS, vol. 51, 1996, pp. 181-204.
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739
V. Bentkus, M. Bloznelis, and F. Götze, “A Berry-Esseen bound for student's statistic in the non-iid case”, JOURNAL OF THEORETICAL PROBABILITY, vol. 9, 1996, pp. 765-796.
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
V. Bentkus, F. Götze, and V. Paulauskas, “Bounds for the accuracy of Poissonian approximations of stable laws”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 65, 1996, pp. 55-68.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
F. Götze and H.R. Kunsch, “Second-order correctness of the blockwise bootstrap for stationary observations”, ANNALS OF STATISTICS, vol. 24, 1996, pp. 1914-1933.
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
V. Bentkus and F. Götze, “The Berry-Esseen bound for student's statistic”, ANNALS OF PROBABILITY, vol. 24, 1996, pp. 491-503.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
V. Bentkus and F. Götze, “Optimal rates of convergence in the CLT for quadratic forms”, ANNALS OF PROBABILITY, vol. 24, 1996, pp. 466-490.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
F. Götze, L. Heinrich, and C. Hipp, “M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION”, SCANDINAVIAN JOURNAL OF STATISTICS, vol. 22, 1995, pp. 183-195.
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
V. Bentkus and F. Götze, “ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS”, DOKLADY AKADEMII NAUK, vol. 343, 1995, pp. 439-440.
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
F. Götze and C. Hipp, “ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES”, ANNALS OF STATISTICS, vol. 22, 1994, pp. 2062-2088.
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
V. Bentkus and F. Götze, “ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES”, PROBABILITY THEORY AND RELATED FIELDS, vol. 96, 1993, pp. 137-151.
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
E. Bolthausen and F. Götze, “THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS”, ANNALS OF STATISTICS, vol. 21, 1993, pp. 1692-1710.
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
F. Götze, “ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT”, ANNALS OF PROBABILITY, vol. 19, 1991, pp. 724-739.
PUB | DOI | WoS
 
[6]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279
F. Götze and C. Hipp, “LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD”, ANNALS OF PROBABILITY, vol. 18, 1990, pp. 810-828.
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
F. Götze and C. HIPP, “ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS”, PROBABILITY THEORY AND RELATED FIELDS, vol. 82, 1989, pp. 349-370.
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
F. Götze, “EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS”, ANNALS OF PROBABILITY, vol. 17, 1989, pp. 1602-1634.
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
F. Götze, “APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS”, JOURNAL OF MULTIVARIATE ANALYSIS, vol. 22, 1987, pp. 212-229.
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
F. Götze, “ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES”, ANNALS OF PROBABILITY, vol. 14, 1986, pp. 922-942.
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
P.J. Bickel, F. Götze, and W.R. Vanzwet, “THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2”, ANNALS OF STATISTICS, vol. 14, 1986, pp. 1463-1484.
PUB | DOI | WoS
 

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