121 Publikationen

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

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

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