121 Publikationen

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

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

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