121 Publikationen

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[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “On Optimal Bounds in the Local Semicircle Law under Four Moment Condition”. DOKLADY MATHEMATICS 99.1 (2019): 40-43.
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Bobkov, Sergey C., Götze, Friedrich, and Sambale, Holger. “Higher order concentration of measure”. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21.3 (2019): 1850043.
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM”. ANNALS OF PROBABILITY 47.1 (2019): 270-323.
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
Götze, Friedrich, Naumov, Alexey, Tikhomirov, Alexander, and Timushev, Dmitry. “On the local semicircular law for Wigner ensembles”. BERNOULLI 24.3 (2018): 2358-2400.
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62.1 (2018): 58-83.
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
Götze, Friedrich, Eliseeva, Yu S., and Zaitsev, A. Yu. “ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62.2 (2018): 196-215.
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
Prokhorov, Yu. V., Götze, Friedrich, and Ulyanov, V. V. “ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62.1 (2018): 98-116.
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
Götze, Friedrich, and Zaitsev, Andrei Yu. “New applications of Arak's inequalities to the Littlewood-Offord problem”. EUROPEAN JOURNAL OF MATHEMATICS 4.2 (2018): 639-663.
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Berry-Esseen bounds for typical weighted sums”. ELECTRONIC JOURNAL OF PROBABILITY 23 (2018): 92.
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Götze, Friedrich, Naumov, Alexey, and Tikhomirov, Alexander. “Distribution of linear statistics of singular values of the product of random matrices”. Bernoulli 23.4B (2017): 3067-3113.
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
Götze, Friedrich, and Gusakova, Anna. “On algebraic integers in short intervals and near smooth curves”. ACTA ARITHMETICA 179.3 (2017): 251-265.
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Bernik, Vasili, Budarina, Natalia, and Götze, Friedrich. “Exact upper bounds for the number of the polynomials with given discriminants”. LITHUANIAN MATHEMATICAL JOURNAL 57.3 (2017): 283-293.
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Götze, Friedrich, Naumov, A., and Ulyanov, V. “Asymptotic Analysis of Symmetric Functions”. JOURNAL OF THEORETICAL PROBABILITY 30.3 (2017): 876-897.
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. “Second-order concentration on the sphere”. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 19.5 (2017): 1650058.
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
Götze, Friedrich, Kaliada, Dzianis, and Zaporozhets, Dmitry. “DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS”. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145.1 (2017): 61-71.
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “Local Laws for Non-Hermitian Random Matrices”. DOKLADY MATHEMATICS 96.3 (2017): 558-560.
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Beresnevich, Victor, Bernik, Vasili, and Götze, Friedrich. “Integral polynomials with small discriminants and resultants”. ADVANCES IN MATHEMATICS 298 (2016): 393-412.
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Götze, Friedrich, and Tikhomirov, A. “Optimal bounds for convergence of expected spectral distributions to the semi-circular law”. PROBABILITY THEORY AND RELATED FIELDS 165.1-2 (2016): 163-233.
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Bobkov, S. G., Chistyakov, G. P., and Götze, Friedrich. “Regularized distributions and entropic stability of Cramer's characterization of the normal law”. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126.12 (2016): 3865-3887.
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Götze, Friedrich, Eliseeva, Yu. S., and Zaitsev, A. Yu. “Arak's inequalities for concentration functions and the Littlewood-Offord problem”. DOKLADY MATHEMATICS 93.2 (2016): 202-206.
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
Götze, Friedrich, Naumov, A., and Tikhomirov, A. “ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES”. Acta Physica Polonica B 46.9 (2015): 1737-1745.
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 59.1 (2015): 23-39.
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
Götze, Friedrich, Naumov, A., and Tikhomirov, A. “On minimal singular values of random matrices with correlated entries”. RANDOM MATRICES-THEORY AND APPLICATIONS 4.2 (2015): 30.
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Götze, Friedrich, Kösters, Holger, and Tikhomirov, Alexander. “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”. RANDOM MATRICES-THEORY AND APPLICATIONS 4.2 (2015): 85.
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Bernik, V. I., and Götze, Friedrich. “Distribution of real algebraic numbers of arbitrary degree in short intervals”. Izvestiya Mathematics 79.1 (2015): 18-39.
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Baake, Michael, Götze, Friedrich, Huck, Christian, and Jakobi, Tobias. “Radial spacing distributions from planar point sets”. Acta crystallographica. Section A, Foundations and advances 70.Pt 5 (2014): 472-482.
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
Götze, Friedrich, and Zaitsev, Andrei Yu. “EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS”. The Annals of Probability 42.1 (2014): 354-397.
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Budarina, N. V., and Götze, Friedrich. “Distance between conjugate algebraic numbers in clusters”. Mathematical Notes 94.5-6 (2014): 816-819.
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
Götze, Friedrich, and Venker, Martin. “LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES”. The Annals of Probability 42.6 (2014): 2207-2242.
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Bobkov, S. G., Chistyakov, G. P., and Götze, Friedrich. “Fisher information and convergence to stable laws”. Bernoulli 20.3 (2014): 1620-1646.
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
Bernik, Vasilii, Götze, Friedrich, and Kukso, Olga. “On algebraic points in the plane near smooth curves”. Lithuanian Mathematical Journal 54.3 (2014): 231-251.
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Bobkov, Sergey G., Chistyakov, Gennadiy, and Götze, Friedrich. “Berry-Esseen bounds in the entropic central limit theorem”. Probability Theory and Related Fields 159.3-4 (2014): 435-478.
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. “Fisher information and the central limit theorem”. Probability Theory and Related Fields 159.1-2 (2014): 1-59.
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Bloznelis, Mindaugas, and Götze, Friedrich. “Preferred Attachment in Affiliation Networks”. Journal of Statistical Physics 156.4 (2014): 800-821.
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
Kaliada, Dzianis, Götze, Friedrich, and Kukso, Olga. “The asymptotic number of integral cubic polynomials with bounded heights and discriminants”. Lithuanian Mathematical Journal 54.2 (2014): 150-165.
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
Götze, Friedrich, and Van Zwet, W. R. “THE TIMES OF YURI VASILYEVICH PROKHOROV”. Theory Of Probability & Its Applications 57.2 (2013): 306-322.
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Convergence to Stable Laws in Relative Entropy”. Journal Of Theoretical Probability 26.3 (2013): 803-818.
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Chistyakov, Gennadiy, and Götze, Friedrich. “Asymptotic expansions in the CLT in free probability”. Probability Theory And Related Fields 157.1-2 (2013): 107-156.
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS”. Theory Of Probability & Its Applications 57.4 (2013): 568-588.
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. “RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM”. The Annals Of Probability 41.4 (2013): 2479-2512.
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
Bloznelis, Mindaugas, Götze, Friedrich, and Jaworski, Jerzy. “BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH”. Journal of Applied Probability 49.3 (2012): 601-611.
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
Götze, Friedrich, and Zaporozhets, D. “ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS”. Theory Of Probability & Its Applications 56.4 (2012): 696-U217.
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Bounds for characteristic functions in terms of quantiles and entropy”. ELECTRONIC COMMUNICATIONS IN PROBABILITY 17 (2012): 1-9.
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Chistyakov, Gennadiy, Götze, Friedrich, and Lehner, F. “Freeness of linear and quadratic forms in von Neumann algebras”. Journal of Functional Analysis 261.10 (2011): 2829-2844.
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
Chistyakov, Gennadiy, and Götze, Friedrich. “The arithmetic of distributions in free probability theory”. Central European Journal of Mathematics 9.5 (2011): 997-1050.
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
Bloznelis, M., Götze, Friedrich, Paulauskas, V., Rackauskas, A., and van Zwet, W. “VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM”. Lithuanian Mathematical Journal 50.4 (2010): 367-371.
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
Alexeev, N., Götze, Friedrich, and Tikhomirov, Alexander. “ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES”. LITHUANIAN MATHEMATICAL JOURNAL 50.2 (2010): 121-132.
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
Bobkov, S. G., Götze, Friedrich, and Tikhomirov, A. N. “On Concentration of Empirical Measures and Convergence to the Semi-circle Law”. JOURNAL OF THEORETICAL PROBABILITY 23.3 (2010): 792-823.
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
Götze, Friedrich, and Tikhomirov, Alexander. “THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 54.1 (2010): 129-U7.
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
Alexeev, N. V., Götze, Friedrich, and Tikhomirov, A. N. “On the Singular Spectrum of Powers and Products of Random Matrices”. DOKLADY MATHEMATICS 82.1 (2010): 505-507.
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
Götze, Friedrich, and Tikhomirov, Alexander. “THE CIRCULAR LAW FOR RANDOM MATRICES”. ANNALS OF PROBABILITY 38.4 (2010): 1444-1491.
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
Bobkov, S. G., and Götze, Friedrich. “Concentration of empirical distribution functions with applications to non-i.i.d. models”. Bernoulli 16.4 (2010): 1385-1414.
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
Beresnevich, Victor, Bernik, Vasili, and Götze, Friedrich. “The distribution of close conjugate algebraic numbers”. COMPOSITIO MATHEMATICA 146.5 (2010): 1165-1179.
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
Götze, Friedrich, and Zaitsev, A. Yu. “BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE”. THEORY OF PROBABILITY AND ITS APPLICATIONS 53.1 (2009): 59-80.
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
Götze, Friedrich, and Kösters, Holger. “On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 285.3 (2009): 1183-1205.
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Bernik, Vasili, Götze, Friedrich, and Kukso, Olga. “Lower bounds for the number of integral polynomials with given order of discriminants”. ACTA ARITHMETICA 133.4 (2008): 375-390.
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
Bernik, V., Götze, Friedrich, and Kukso, O. “On the divisibility of the discriminant of an integral polynomial by prime powers”. LITHUANIAN MATHEMATICAL JOURNAL 48.4 (2008): 380-396.
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Chistyakov, Gennadiy, and Götze, Friedrich. “Limit theorems in free probability theory I”. ANNALS OF PROBABILITY 36.1 (2008): 54-90.
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Chistyakov, Gennadiy, and Götze, Friedrich. “Limit theorems in free probability theory II”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6.1 (2008): 87-117.
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Götze, Friedrich, and Gordin, Mikhail. “Limit correlation functions for fixed trace random matrix ensembles”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 281.1 (2008): 203-229.
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Chistyakov, Gennadiy, and Götze, Friedrich. “Independence of linear forms with random coefficients”. PROBABILITY THEORY AND RELATED FIELDS 137.1-2 (2007): 1-24.
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
Götze, Friedrich, Tikhomirov, Alexander, and Timushev, Dmitry A. “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5.2 (2007): 305-334.
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Bobkov, Sergey G., and Götze, Friedrich. “Concentration inequalities and limit theorems for randomized sums”. PROBABILITY THEORY AND RELATED FIELDS 137.1-2 (2007): 49-81.
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
Bogatyrev, S. A., Götze, Friedrich, and Ulyanov, V. V. “Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space”. JOURNAL OF MULTIVARIATE ANALYSIS 97.9 (2006): 2041-2056.
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Götze, Friedrich, and Tikhomirov, A. N. “Limit theorems for spectra of random matrices with martingale structure”. THEORY OF PROBABILITY AND ITS APPLICATIONS 51.1 (2006): 42-64.
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Götze, Friedrich, and Tikhomirov, AN. “Asymptotic expansions in non-central limit theorems for quadratic forms”. JOURNAL OF THEORETICAL PROBABILITY 18.4 (2005): 757-811.
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
Gine, E, and Götze, Friedrich. “On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors”. ELECTRONIC COMMUNICATIONS IN PROBABILITY 9 (2004): 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Götze, Friedrich, and Tikhomirov, A. “Rate of convergence in probability to the Marchenko-Pastur law”. BERNOULLI 10.3 (2004): 503-548.
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
Götze, Friedrich, and Gordin, Mikhail. “Limiting distributions of theta series on Siegel half-spaces”. St. Petersburg mathematical journal 15.1 (2004): 81-102.
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
Chistyakov, Gennadiy, and Götze, Friedrich. “Distribution of the shape of Markovian random words”. PROBABILITY THEORY AND RELATED FIELDS 129.1 (2004): 18-36.
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Chistyakov, Gennadiy, and Götze, Friedrich. “Limit distributions of studentized means”. ANNALS OF PROBABILITY 32.1A (2004): 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Götze, Friedrich. “Lattice point problems and values of quadratic forms”. INVENTIONES MATHEMATICAE 157.1 (2004): 195-226.
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
Chistyakov, Gennadiy, and Götze, Friedrich. “On bounds for moderate deviations for student's statistic”. THEORY OF PROBABILITY AND ITS APPLICATIONS 48.3 (2003): 528-535.
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Götze, Friedrich, and Tikhomirov, A. “Rate of convergence to the semi-circular law”. PROBABILITY THEORY AND RELATED FIELDS 127.2 (2003): 228-276.
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
Bobkov, SG, and Götze, Friedrich. “On the central limit theorem along subsequences of noncorrelated observations”. THEORY OF PROBABILITY AND ITS APPLICATIONS 48.4 (2003): 604-621.
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Götze, Friedrich, and Tikhomirov, A. “Asymptotic distribution of quadratic forms and applications”. JOURNAL OF THEORETICAL PROBABILITY 15.2 (2002): 423-475.
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
Bloznelis, M, and Götze, Friedrich. “An Edgeworth expansion for symmetric finite population statistics”. ANNALS OF PROBABILITY 30.3 (2002): 1238-1265.
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
Chistyakov, Gennadiy, and Götze, Friedrich. “Moderate deviations for student's statistic”. THEORY OF PROBABILITY AND ITS APPLICATIONS 47.3 (2002): 415-428.
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Götze, Friedrich, and Tikhomirov, AN. “Rate of convergence to the semicircular law for the Gaussian unitary ensemble”. THEORY OF PROBABILITY AND ITS APPLICATIONS 47.2 (2002): 323-330.
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
Bentkus, V, and Götze, Friedrich. “Lattice points in multidimensional bodies”. FORUM MATHEMATICUM 13.2 (2001): 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
Bobkov, SG, Götze, Friedrich, and Houdre, C. “On Gaussian and Bernoulli covariance representations”. BERNOULLI 7.3 (2001): 439-451.
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952
Bloznelis, M, and Götze, Friedrich. “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”. ANNALS OF STATISTICS 29.3 (2001): 899-917.
PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
Bloznelis, M, and Götze, Friedrich. “An edgeworth expansion for finite-population U-statistics”. BERNOULLI 6.4 (2000): 729-760.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
Bobkov, SG, and Götze, Friedrich. “Discrete isoperimetric and Poincare-type inequalities”. PROBABILITY THEORY AND RELATED FIELDS 114.2 (1999): 245-277.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
Bloznelis, M, and Götze, Friedrich. “One-term Edgeworth expansion for finite population U-statistics of degree two”. ACTA APPLICANDAE MATHEMATICAE 58.1-3 (1999): 75-90.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
Bentkus, V, and Götze, Friedrich. “Optimal bounds in non-Gaussian limit theorems for U-statistics”. ANNALS OF PROBABILITY 27.1 (1999): 454-521.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
Bobkov, SG, and Götze, Friedrich. “Exponential integrability and transportation cost related to logarithmic sobolev inequalities”. JOURNAL OF FUNCTIONAL ANALYSIS 163.1 (1999): 1-28.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
Bentkus, V, and Götze, Friedrich. “Lattice point problems and distribution of values of quadratic forms”. ANNALS OF MATHEMATICS 150.3 (1999): 977-1027.
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
Götze, Friedrich, and Tikhomirov, AN. “Asymptotic distribution of quadratic forms”. ANNALS OF PROBABILITY 27.2 (1999): 1072-1098.
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
Bentkus, V, Götze, Friedrich, and Zaitsev, AY. “Approximation of quadratic forms of independent random vectors by accompanying laws”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42.2 (1998): 189-212.
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
Götze, Friedrich, Prokhorov, YV, and Ulyanov, VV. “On smooth behavior of probability distributions under polynomial mappings”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42.1 (1998): 28-38.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
Bobkov, SG, and Götze, Friedrich. “On moments of polynomials”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42.3 (1998): 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Götze, Friedrich, and Zaitsev, AY. “Estimates for the rapid decay of concentration functions of n-fold convolutions”. JOURNAL OF THEORETICAL PROBABILITY 11.3 (1998): 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Götze, Friedrich. “Lattice point problems and the central limit theorem in Euclidean spaces”. Documenta Mathematica 1998.Extra Vol. III (1998): 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Götze, Friedrich. “Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"”. Documenta Mathematica 1998.Extra Vol. I (1998): 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Bentkus, V, Götze, Friedrich, and Tikhomirov, A. “Berry-Esseen bounds for statistics of weakly dependent samples”. BERNOULLI 3.3 (1997): 329-349.
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
Bentkus, V, Bloznelis, M, and Götze, Friedrich. “A Berry-Esseen bound for M-estimators”. SCANDINAVIAN JOURNAL OF STATISTICS 24.4 (1997): 485-502.
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698
Bentkus, V, and Götze, Friedrich. “Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces”. PROBABILITY THEORY AND RELATED FIELDS 109.3 (1997): 367-416.
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
Bentkus, V, and Götze, Friedrich. “On the lattice point problem for ellipsoids”. ACTA ARITHMETICA 80.2 (1997): 101-125.
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
Gine, E, Götze, Friedrich, and Mason, DM. “When is the student t-statistic asymptotically standard normal?”. ANNALS OF PROBABILITY 25.3 (1997): 1514-1531.
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
Bickel, PJ, Götze, Friedrich, and vanZwet, WR. “Resampling fewer than n observations: Gains, losses, and remedies for losses”. STATISTICA SINICA 7.1 (1997): 1-31.
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
Bentkus, V, Götze, Friedrich, and van Zwet, WR. “An Edgeworth expansion for symmetric statistics”. ANNALS OF STATISTICS 25.2 (1997): 851-896.
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
Bentkus, V, and Götze, Friedrich. “On minimal moment assumptions in Berry-Esseen theorems for U-statistics”. THEORY OF PROBABILITY AND ITS APPLICATIONS 40.3 (1996): 430-445.
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
Götze, Friedrich, Prokhorov, YV, and Ulyanov, VV. “Bounds for characteristic functions of polynomials in asymptotically normal random variables”. RUSSIAN MATHEMATICAL SURVEYS 51.2 (1996): 181-204.
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739
Bentkus, V, Bloznelis, M, and Götze, Friedrich. “A Berry-Esseen bound for student's statistic in the non-iid case”. JOURNAL OF THEORETICAL PROBABILITY 9.3 (1996): 765-796.
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
Bentkus, V, Götze, Friedrich, and Paulauskas, V. “Bounds for the accuracy of Poissonian approximations of stable laws”. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65.1 (1996): 55-68.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
Götze, Friedrich, and Kunsch, HR. “Second-order correctness of the blockwise bootstrap for stationary observations”. ANNALS OF STATISTICS 24.5 (1996): 1914-1933.
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
Bentkus, V, and Götze, Friedrich. “The Berry-Esseen bound for student's statistic”. ANNALS OF PROBABILITY 24.1 (1996): 491-503.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
Bentkus, V, and Götze, Friedrich. “Optimal rates of convergence in the CLT for quadratic forms”. ANNALS OF PROBABILITY 24.1 (1996): 466-490.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
Götze, Friedrich, Heinrich, L, and Hipp, C. “M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION”. SCANDINAVIAN JOURNAL OF STATISTICS 22.2 (1995): 183-195.
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
Bentkus, V, and Götze, Friedrich. “ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS”. DOKLADY AKADEMII NAUK 343.4 (1995): 439-440.
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
Götze, Friedrich, and Hipp, C. “ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES”. ANNALS OF STATISTICS 22.4 (1994): 2062-2088.
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
Bentkus, V, and Götze, Friedrich. “ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES”. PROBABILITY THEORY AND RELATED FIELDS 96.2 (1993): 137-151.
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
Bolthausen, E, and Götze, Friedrich. “THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS”. ANNALS OF STATISTICS 21.4 (1993): 1692-1710.
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
Götze, Friedrich. “ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT”. ANNALS OF PROBABILITY 19.2 (1991): 724-739.
PUB | DOI | WoS
 
[6]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279
Götze, Friedrich, and Hipp, C. “LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD”. ANNALS OF PROBABILITY 18.2 (1990): 810-828.
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
Götze, Friedrich, and HIPP, C. “ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS”. PROBABILITY THEORY AND RELATED FIELDS 82.3 (1989): 349-370.
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
Götze, Friedrich. “EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS”. ANNALS OF PROBABILITY 17.4 (1989): 1602-1634.
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
Götze, Friedrich. “APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS”. JOURNAL OF MULTIVARIATE ANALYSIS 22.2 (1987): 212-229.
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
Götze, Friedrich. “ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES”. ANNALS OF PROBABILITY 14.3 (1986): 922-942.
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
Bickel, PJ, Götze, Friedrich, and Vanzwet, WR. “THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2”. ANNALS OF STATISTICS 14.4 (1986): 1463-1484.
PUB | DOI | WoS
 

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[121]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2936036
Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “On Optimal Bounds in the Local Semicircle Law under Four Moment Condition”. DOKLADY MATHEMATICS 99.1 (2019): 40-43.
PUB | DOI | WoS
 
[120]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2935874
Bobkov, Sergey C., Götze, Friedrich, and Sambale, Holger. “Higher order concentration of measure”. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21.3 (2019): 1850043.
PUB | DOI | WoS
 
[119]
2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2932956
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “RENYI DIVERGENCE AND THE CENTRAL LIMIT THEOREM”. ANNALS OF PROBABILITY 47.1 (2019): 270-323.
PUB | DOI | WoS
 
[118]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2918644
Götze, Friedrich, Naumov, Alexey, Tikhomirov, Alexander, and Timushev, Dmitry. “On the local semicircular law for Wigner ensembles”. BERNOULLI 24.3 (2018): 2358-2400.
PUB | DOI | WoS
 
[117]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920353
Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “LOCAL SEMICIRCLE LAW UNDER MOMENT CONDITIONS: THE STIELTJES TRANSFORM, RIGIDITY, AND DELOCALIZATION”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62.1 (2018): 58-83.
PUB | DOI | WoS
 
[116]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920708
Götze, Friedrich, Eliseeva, Yu S., and Zaitsev, A. Yu. “ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD-OFFORD PROBLEM”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62.2 (2018): 196-215.
PUB | DOI | WoS
 
[115]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920354
Prokhorov, Yu. V., Götze, Friedrich, and Ulyanov, V. V. “ON BOUNDS FOR CHARACTERISTIC FUNCTIONS OF POWERS OF ASYMPTOTICALLY NORMAL VARIABLES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 62.1 (2018): 98-116.
PUB | DOI | WoS
 
[114]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2930279
Götze, Friedrich, and Zaitsev, Andrei Yu. “New applications of Arak's inequalities to the Littlewood-Offord problem”. EUROPEAN JOURNAL OF MATHEMATICS 4.2 (2018): 639-663.
PUB | DOI | WoS
 
[113]
2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931538
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Berry-Esseen bounds for typical weighted sums”. ELECTRONIC JOURNAL OF PROBABILITY 23 (2018): 92.
PUB | DOI | WoS
 
[112]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916434
Götze, Friedrich, Naumov, Alexey, and Tikhomirov, Alexander. “Distribution of linear statistics of singular values of the product of random matrices”. Bernoulli 23.4B (2017): 3067-3113.
PUB | DOI | WoS
 
[111]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914113
Götze, Friedrich, and Gusakova, Anna. “On algebraic integers in short intervals and near smooth curves”. ACTA ARITHMETICA 179.3 (2017): 251-265.
PUB | DOI | WoS
 
[110]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913993
Bernik, Vasili, Budarina, Natalia, and Götze, Friedrich. “Exact upper bounds for the number of the polynomials with given discriminants”. LITHUANIAN MATHEMATICAL JOURNAL 57.3 (2017): 283-293.
PUB | DOI | WoS
 
[109]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2916474
Götze, Friedrich, Naumov, A., and Ulyanov, V. “Asymptotic Analysis of Symmetric Functions”. JOURNAL OF THEORETICAL PROBABILITY 30.3 (2017): 876-897.
PUB | DOI | WoS
 
[108]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2913145
Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. “Second-order concentration on the sphere”. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 19.5 (2017): 1650058.
PUB | DOI | WoS
 
[107]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907422
Götze, Friedrich, Kaliada, Dzianis, and Zaporozhets, Dmitry. “DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS”. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 145.1 (2017): 61-71.
PUB | DOI | WoS
 
[106]
2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917051
Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “Local Laws for Non-Hermitian Random Matrices”. DOKLADY MATHEMATICS 96.3 (2017): 558-560.
PUB | DOI | WoS
 
[105]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904683
Beresnevich, Victor, Bernik, Vasili, and Götze, Friedrich. “Integral polynomials with small discriminants and resultants”. ADVANCES IN MATHEMATICS 298 (2016): 393-412.
PUB | DOI | WoS
 
[104]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2904070
Götze, Friedrich, and Tikhomirov, A. “Optimal bounds for convergence of expected spectral distributions to the semi-circular law”. PROBABILITY THEORY AND RELATED FIELDS 165.1-2 (2016): 163-233.
PUB | DOI | WoS
 
[103]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2907426
Bobkov, S. G., Chistyakov, G. P., and Götze, Friedrich. “Regularized distributions and entropic stability of Cramer's characterization of the normal law”. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126.12 (2016): 3865-3887.
PUB | DOI | WoS
 
[102]
2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917156
Götze, Friedrich, Eliseeva, Yu. S., and Zaitsev, A. Yu. “Arak's inequalities for concentration functions and the Littlewood-Offord problem”. DOKLADY MATHEMATICS 93.2 (2016): 202-206.
PUB | DOI | WoS
 
[101]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2788838
Götze, Friedrich, Naumov, A., and Tikhomirov, A. “ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES”. Acta Physica Polonica B 46.9 (2015): 1737-1745.
PUB | DOI | WoS
 
[100]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917110
Götze, Friedrich, Naumov, A. A., and Tikhomirov, A. N. “LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 59.1 (2015): 23-39.
PUB | DOI | WoS
 
[99]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917095
Götze, Friedrich, Naumov, A., and Tikhomirov, A. “On minimal singular values of random matrices with correlated entries”. RANDOM MATRICES-THEORY AND APPLICATIONS 4.2 (2015): 30.
PUB | DOI | WoS
 
[98]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2917096
Götze, Friedrich, Kösters, Holger, and Tikhomirov, Alexander. “Asymptotic spectra of matrix-valued functions of independent random matrices and free probability”. RANDOM MATRICES-THEORY AND APPLICATIONS 4.2 (2015): 85.
PUB | DOI | WoS
 
[97]
2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2731385
Bernik, V. I., and Götze, Friedrich. “Distribution of real algebraic numbers of arbitrary degree in short intervals”. Izvestiya Mathematics 79.1 (2015): 18-39.
PUB | DOI | WoS
 
[96]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2694675
Baake, Michael, Götze, Friedrich, Huck, Christian, and Jakobi, Tobias. “Radial spacing distributions from planar point sets”. Acta crystallographica. Section A, Foundations and advances 70.Pt 5 (2014): 472-482.
PUB | DOI | WoS | PubMed | Europe PMC
 
[95]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2660899
Götze, Friedrich, and Zaitsev, Andrei Yu. “EXPLICIT RATES OF APPROXIMATION IN THE CLT FOR QUADRATIC FORMS”. The Annals of Probability 42.1 (2014): 354-397.
PUB | DOI | WoS
 
[94]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2653420
Budarina, N. V., and Götze, Friedrich. “Distance between conjugate algebraic numbers in clusters”. Mathematical Notes 94.5-6 (2014): 816-819.
PUB | DOI | WoS
 
[93]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2701611
Götze, Friedrich, and Venker, Martin. “LOCAL UNIVERSALITY OF REPULSIVE PARTICLE SYSTEMS AND RANDOM MATRICES”. The Annals of Probability 42.6 (2014): 2207-2242.
PUB | DOI | WoS
 
[92]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690496
Bobkov, S. G., Chistyakov, G. P., and Götze, Friedrich. “Fisher information and convergence to stable laws”. Bernoulli 20.3 (2014): 1620-1646.
PUB | DOI | WoS
 
[91]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2695064
Bernik, Vasilii, Götze, Friedrich, and Kukso, Olga. “On algebraic points in the plane near smooth curves”. Lithuanian Mathematical Journal 54.3 (2014): 231-251.
PUB | DOI | WoS
 
[90]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690735
Bobkov, Sergey G., Chistyakov, Gennadiy, and Götze, Friedrich. “Berry-Esseen bounds in the entropic central limit theorem”. Probability Theory and Related Fields 159.3-4 (2014): 435-478.
PUB | DOI | WoS
 
[89]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2681719
Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. “Fisher information and the central limit theorem”. Probability Theory and Related Fields 159.1-2 (2014): 1-59.
PUB | DOI | WoS
 
[88]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2690746
Bloznelis, Mindaugas, and Götze, Friedrich. “Preferred Attachment in Affiliation Networks”. Journal of Statistical Physics 156.4 (2014): 800-821.
PUB | DOI | WoS
 
[87]
2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2684355
Kaliada, Dzianis, Götze, Friedrich, and Kukso, Olga. “The asymptotic number of integral cubic polynomials with bounded heights and discriminants”. Lithuanian Mathematical Journal 54.2 (2014): 150-165.
PUB | DOI | WoS
 
[86]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2613112
Götze, Friedrich, and Van Zwet, W. R. “THE TIMES OF YURI VASILYEVICH PROKHOROV”. Theory Of Probability & Its Applications 57.2 (2013): 306-322.
PUB | DOI | WoS
 
[85]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2625752
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Convergence to Stable Laws in Relative Entropy”. Journal Of Theoretical Probability 26.3 (2013): 803-818.
PUB | DOI | WoS
 
[84]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2635882
Chistyakov, Gennadiy, and Götze, Friedrich. “Asymptotic expansions in the CLT in free probability”. Probability Theory And Related Fields 157.1-2 (2013): 107-156.
PUB | DOI | WoS
 
[83]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2642178
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “STABILITY PROBLEMS IN CRAMER-TYPE CHARACTERIZATION IN CASE OF IID SUMMANDS”. Theory Of Probability & Its Applications 57.4 (2013): 568-588.
PUB | DOI | WoS
 
[82]
2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2622291
Bobkov, Sergey G., Chistyakov, Gennadiy P., and Götze, Friedrich. “RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC CENTRAL LIMIT THEOREM”. The Annals Of Probability 41.4 (2013): 2479-2512.
PUB | DOI | WoS
 
[81]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2536214
Bloznelis, Mindaugas, Götze, Friedrich, and Jaworski, Jerzy. “BIRTH OF A STRONGLY CONNECTED GIANT IN AN INHOMOGENEOUS RANDOM DIGRAPH”. Journal of Applied Probability 49.3 (2012): 601-611.
PUB | WoS
 
[80]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2548738
Götze, Friedrich, and Zaporozhets, D. “ON THE DISTRIBUTION OF COMPLEX ROOTS OF RANDOM POLYNOMIALS WITH HEAVY-TAILED COEFFICIENTS”. Theory Of Probability & Its Applications 56.4 (2012): 696-U217.
PUB | DOI | WoS
 
[79]
2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2509956
Bobkov, S. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Bounds for characteristic functions in terms of quantiles and entropy”. ELECTRONIC COMMUNICATIONS IN PROBABILITY 17 (2012): 1-9.
PUB | DOI | WoS
 
[78]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2394372
Chistyakov, Gennadiy, Götze, Friedrich, and Lehner, F. “Freeness of linear and quadratic forms in von Neumann algebras”. Journal of Functional Analysis 261.10 (2011): 2829-2844.
PUB | DOI | WoS
 
[77]
2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2326392
Chistyakov, Gennadiy, and Götze, Friedrich. “The arithmetic of distributions in free probability theory”. Central European Journal of Mathematics 9.5 (2011): 997-1050.
PUB | DOI | WoS
 
[76]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1968346
Bloznelis, M., Götze, Friedrich, Paulauskas, V., Rackauskas, A., and van Zwet, W. “VIDMANTAS KASTYTIS BENTKUS (1949.07.28-2010.06.03) IN MEMORIAM”. Lithuanian Mathematical Journal 50.4 (2010): 367-371.
PUB | DOI | WoS
 
[75]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1795793
Alexeev, N., Götze, Friedrich, and Tikhomirov, Alexander. “ASYMPTOTIC DISTRIBUTION OF SINGULAR VALUES OF POWERS OF RANDOM MATRICES”. LITHUANIAN MATHEMATICAL JOURNAL 50.2 (2010): 121-132.
PUB | DOI | WoS
 
[74]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794477
Bobkov, S. G., Götze, Friedrich, and Tikhomirov, A. N. “On Concentration of Empirical Measures and Convergence to the Semi-circle Law”. JOURNAL OF THEORETICAL PROBABILITY 23.3 (2010): 792-823.
PUB | DOI | WoS
 
[73]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1796101
Götze, Friedrich, and Tikhomirov, Alexander. “THE RATE OF CONVERGENCE OF SPECTRA OF SAMPLE COVARIANCE MATRICES”. THEORY OF PROBABILITY AND ITS APPLICATIONS 54.1 (2010): 129-U7.
PUB | DOI | WoS
 
[72]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1929254
Alexeev, N. V., Götze, Friedrich, and Tikhomirov, A. N. “On the Singular Spectrum of Powers and Products of Random Matrices”. DOKLADY MATHEMATICS 82.1 (2010): 505-507.
PUB | DOI | WoS
 
[71]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1794544
Götze, Friedrich, and Tikhomirov, Alexander. “THE CIRCULAR LAW FOR RANDOM MATRICES”. ANNALS OF PROBABILITY 38.4 (2010): 1444-1491.
PUB | DOI | WoS
 
[70]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2003517
Bobkov, S. G., and Götze, Friedrich. “Concentration of empirical distribution functions with applications to non-i.i.d. models”. Bernoulli 16.4 (2010): 1385-1414.
PUB | DOI | WoS
 
[69]
2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1930158
Beresnevich, Victor, Bernik, Vasili, and Götze, Friedrich. “The distribution of close conjugate algebraic numbers”. COMPOSITIO MATHEMATICA 146.5 (2010): 1165-1179.
PUB | DOI | WoS
 
[68]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634382
Götze, Friedrich, and Zaitsev, A. Yu. “BOUNDS FOR THE RATE OF STRONG APPROXIMATION IN THE MULTIDIMENSIONAL INVARIANCE PRINCIPLE”. THEORY OF PROBABILITY AND ITS APPLICATIONS 53.1 (2009): 59-80.
PUB | DOI | WoS
 
[67]
2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636216
Götze, Friedrich, and Kösters, Holger. “On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 285.3 (2009): 1183-1205.
PUB | DOI | WoS
 
[66]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1634941
Bernik, Vasili, Götze, Friedrich, and Kukso, Olga. “Lower bounds for the number of integral polynomials with given order of discriminants”. ACTA ARITHMETICA 133.4 (2008): 375-390.
PUB | DOI | WoS
 
[65]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1636325
Bernik, V., Götze, Friedrich, and Kukso, O. “On the divisibility of the discriminant of an integral polynomial by prime powers”. LITHUANIAN MATHEMATICAL JOURNAL 48.4 (2008): 380-396.
PUB | DOI | WoS
 
[64]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1631003
Chistyakov, Gennadiy, and Götze, Friedrich. “Limit theorems in free probability theory I”. ANNALS OF PROBABILITY 36.1 (2008): 54-90.
PUB | DOI | WoS
 
[63]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586665
Chistyakov, Gennadiy, and Götze, Friedrich. “Limit theorems in free probability theory II”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 6.1 (2008): 87-117.
PUB | DOI | WoS
 
[62]
2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1587843
Götze, Friedrich, and Gordin, Mikhail. “Limit correlation functions for fixed trace random matrix ensembles”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 281.1 (2008): 203-229.
PUB | DOI | WoS
 
[61]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596316
Chistyakov, Gennadiy, and Götze, Friedrich. “Independence of linear forms with random coefficients”. PROBABILITY THEORY AND RELATED FIELDS 137.1-2 (2007): 1-24.
PUB | DOI | WoS
 
[60]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1586660
Götze, Friedrich, Tikhomirov, Alexander, and Timushev, Dmitry A. “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5.2 (2007): 305-334.
PUB | DOI | WoS
 
[59]
2007 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1596320
Bobkov, Sergey G., and Götze, Friedrich. “Concentration inequalities and limit theorems for randomized sums”. PROBABILITY THEORY AND RELATED FIELDS 137.1-2 (2007): 49-81.
PUB | DOI | WoS
 
[58]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1597582
Bogatyrev, S. A., Götze, Friedrich, and Ulyanov, V. V. “Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space”. JOURNAL OF MULTIVARIATE ANALYSIS 97.9 (2006): 2041-2056.
PUB | DOI | WoS
 
[57]
2006 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1594422
Götze, Friedrich, and Tikhomirov, A. N. “Limit theorems for spectra of random matrices with martingale structure”. THEORY OF PROBABILITY AND ITS APPLICATIONS 51.1 (2006): 42-64.
PUB | DOI | WoS
 
[56]
2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1602155
Götze, Friedrich, and Tikhomirov, AN. “Asymptotic expansions in non-central limit theorems for quadratic forms”. JOURNAL OF THEORETICAL PROBABILITY 18.4 (2005): 757-811.
PUB | DOI | WoS
 
[55]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605986
Gine, E, and Götze, Friedrich. “On standard normal convergence of the multivariate Student t-statistic for symmetric random vectors”. ELECTRONIC COMMUNICATIONS IN PROBABILITY 9 (2004): 162-171.
PUB | DOI | WoS
 
[54]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606044
Götze, Friedrich, and Tikhomirov, A. “Rate of convergence in probability to the Marchenko-Pastur law”. BERNOULLI 10.3 (2004): 503-548.
PUB | DOI | WoS
 
[53]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1876107
Götze, Friedrich, and Gordin, Mikhail. “Limiting distributions of theta series on Siegel half-spaces”. St. Petersburg mathematical journal 15.1 (2004): 81-102.
PUB
 
[52]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608103
Chistyakov, Gennadiy, and Götze, Friedrich. “Distribution of the shape of Markovian random words”. PROBABILITY THEORY AND RELATED FIELDS 129.1 (2004): 18-36.
PUB | DOI | WoS
 
[51]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1608262
Chistyakov, Gennadiy, and Götze, Friedrich. “Limit distributions of studentized means”. ANNALS OF PROBABILITY 32.1A (2004): 28-77.
PUB | WoS
 
[50]
2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1607761
Götze, Friedrich. “Lattice point problems and values of quadratic forms”. INVENTIONES MATHEMATICAE 157.1 (2004): 195-226.
PUB | DOI | WoS
 
[49]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1606373
Chistyakov, Gennadiy, and Götze, Friedrich. “On bounds for moderate deviations for student's statistic”. THEORY OF PROBABILITY AND ITS APPLICATIONS 48.3 (2003): 528-535.
PUB | DOI | WoS
 
[48]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1609739
Götze, Friedrich, and Tikhomirov, A. “Rate of convergence to the semi-circular law”. PROBABILITY THEORY AND RELATED FIELDS 127.2 (2003): 228-276.
PUB | DOI | WoS
 
[47]
2003 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1605272
Bobkov, SG, and Götze, Friedrich. “On the central limit theorem along subsequences of noncorrelated observations”. THEORY OF PROBABILITY AND ITS APPLICATIONS 48.4 (2003): 604-621.
PUB | DOI | WoS
 
[46]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1614604
Götze, Friedrich, and Tikhomirov, A. “Asymptotic distribution of quadratic forms and applications”. JOURNAL OF THEORETICAL PROBABILITY 15.2 (2002): 423-475.
PUB | DOI | WoS
 
[45]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1613886
Bloznelis, M, and Götze, Friedrich. “An Edgeworth expansion for symmetric finite population statistics”. ANNALS OF PROBABILITY 30.3 (2002): 1238-1265.
PUB | WoS
 
[44]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610095
Chistyakov, Gennadiy, and Götze, Friedrich. “Moderate deviations for student's statistic”. THEORY OF PROBABILITY AND ITS APPLICATIONS 47.3 (2002): 415-428.
PUB | DOI | WoS
 
[43]
2002 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1610874
Götze, Friedrich, and Tikhomirov, AN. “Rate of convergence to the semicircular law for the Gaussian unitary ensemble”. THEORY OF PROBABILITY AND ITS APPLICATIONS 47.2 (2002): 323-330.
PUB | WoS
 
[42]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1617478
Bentkus, V, and Götze, Friedrich. “Lattice points in multidimensional bodies”. FORUM MATHEMATICUM 13.2 (2001): 149-225.
PUB | DOI | WoS
 
[41]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1616879
Bobkov, SG, Götze, Friedrich, and Houdre, C. “On Gaussian and Bernoulli covariance representations”. BERNOULLI 7.3 (2001): 439-451.
PUB | DOI | WoS
 
[40]
2001 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1615952
Bloznelis, M, and Götze, Friedrich. “Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics”. ANNALS OF STATISTICS 29.3 (2001): 899-917.
PUB | WoS
 
[39]
2000 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1619181
Bloznelis, M, and Götze, Friedrich. “An edgeworth expansion for finite-population U-statistics”. BERNOULLI 6.4 (2000): 729-760.
PUB | DOI | WoS
 
[38]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622548
Bobkov, SG, and Götze, Friedrich. “Discrete isoperimetric and Poincare-type inequalities”. PROBABILITY THEORY AND RELATED FIELDS 114.2 (1999): 245-277.
PUB | DOI | WoS
 
[37]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1621192
Bloznelis, M, and Götze, Friedrich. “One-term Edgeworth expansion for finite population U-statistics of degree two”. ACTA APPLICANDAE MATHEMATICAE 58.1-3 (1999): 75-90.
PUB | DOI | WoS
 
[36]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623221
Bentkus, V, and Götze, Friedrich. “Optimal bounds in non-Gaussian limit theorems for U-statistics”. ANNALS OF PROBABILITY 27.1 (1999): 454-521.
PUB | DOI | WoS
 
[35]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623247
Bobkov, SG, and Götze, Friedrich. “Exponential integrability and transportation cost related to logarithmic sobolev inequalities”. JOURNAL OF FUNCTIONAL ANALYSIS 163.1 (1999): 1-28.
PUB | DOI | WoS
 
[34]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1620558
Bentkus, V, and Götze, Friedrich. “Lattice point problems and distribution of values of quadratic forms”. ANNALS OF MATHEMATICS 150.3 (1999): 977-1027.
PUB | DOI | WoS
 
[33]
1999 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1622394
Götze, Friedrich, and Tikhomirov, AN. “Asymptotic distribution of quadratic forms”. ANNALS OF PROBABILITY 27.2 (1999): 1072-1098.
PUB | WoS
 
[32]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625331
Bentkus, V, Götze, Friedrich, and Zaitsev, AY. “Approximation of quadratic forms of independent random vectors by accompanying laws”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42.2 (1998): 189-212.
PUB | DOI | WoS
 
[31]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625472
Götze, Friedrich, Prokhorov, YV, and Ulyanov, VV. “On smooth behavior of probability distributions under polynomial mappings”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42.1 (1998): 28-38.
PUB | DOI | WoS
 
[30]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623531
Bobkov, SG, and Götze, Friedrich. “On moments of polynomials”. THEORY OF PROBABILITY AND ITS APPLICATIONS 42.3 (1998): 518-A520.
PUB | DOI | WoS
 
[29]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625190
Götze, Friedrich, and Zaitsev, AY. “Estimates for the rapid decay of concentration functions of n-fold convolutions”. JOURNAL OF THEORETICAL PROBABILITY 11.3 (1998): 715-731.
PUB | DOI | WoS
 
[28]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1882483
Götze, Friedrich. “Lattice point problems and the central limit theorem in Euclidean spaces”. Documenta Mathematica 1998.Extra Vol. III (1998): 245-255.
PUB
 
[27]
1998 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1879278
Götze, Friedrich. “Errata: "Lattice point problems and the central limit theorem in Euclidean spaces"”. Documenta Mathematica 1998.Extra Vol. I (1998): 648.
PUB
 
[26]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627480
Bentkus, V, Götze, Friedrich, and Tikhomirov, A. “Berry-Esseen bounds for statistics of weakly dependent samples”. BERNOULLI 3.3 (1997): 329-349.
PUB | DOI | WoS
 
[25]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626616
Bentkus, V, Bloznelis, M, and Götze, Friedrich. “A Berry-Esseen bound for M-estimators”. SCANDINAVIAN JOURNAL OF STATISTICS 24.4 (1997): 485-502.
PUB | DOI | WoS
 
[24]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1626698
Bentkus, V, and Götze, Friedrich. “Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces”. PROBABILITY THEORY AND RELATED FIELDS 109.3 (1997): 367-416.
PUB | DOI | WoS
 
[23]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1627842
Bentkus, V, and Götze, Friedrich. “On the lattice point problem for ellipsoids”. ACTA ARITHMETICA 80.2 (1997): 101-125.
PUB | WoS
 
[22]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1625466
Gine, E, Götze, Friedrich, and Mason, DM. “When is the student t-statistic asymptotically standard normal?”. ANNALS OF PROBABILITY 25.3 (1997): 1514-1531.
PUB | WoS
 
[21]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628025
Bickel, PJ, Götze, Friedrich, and vanZwet, WR. “Resampling fewer than n observations: Gains, losses, and remedies for losses”. STATISTICA SINICA 7.1 (1997): 1-31.
PUB | WoS
 
[20]
1997 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1623340
Bentkus, V, Götze, Friedrich, and van Zwet, WR. “An Edgeworth expansion for symmetric statistics”. ANNALS OF STATISTICS 25.2 (1997): 851-896.
PUB | WoS
 
[19]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638303
Bentkus, V, and Götze, Friedrich. “On minimal moment assumptions in Berry-Esseen theorems for U-statistics”. THEORY OF PROBABILITY AND ITS APPLICATIONS 40.3 (1996): 430-445.
PUB | DOI | WoS
 
[18]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638391
Götze, Friedrich, Prokhorov, YV, and Ulyanov, VV. “Bounds for characteristic functions of polynomials in asymptotically normal random variables”. RUSSIAN MATHEMATICAL SURVEYS 51.2 (1996): 181-204.
PUB | DOI | WoS
 
[17]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638739
Bentkus, V, Bloznelis, M, and Götze, Friedrich. “A Berry-Esseen bound for student's statistic in the non-iid case”. JOURNAL OF THEORETICAL PROBABILITY 9.3 (1996): 765-796.
PUB | DOI | WoS
 
[16]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628275
Bentkus, V, Götze, Friedrich, and Paulauskas, V. “Bounds for the accuracy of Poissonian approximations of stable laws”. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 65.1 (1996): 55-68.
PUB | DOI | WoS
 
[15]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1628184
Götze, Friedrich, and Kunsch, HR. “Second-order correctness of the blockwise bootstrap for stationary observations”. ANNALS OF STATISTICS 24.5 (1996): 1914-1933.
PUB | WoS
 
[14]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638950
Bentkus, V, and Götze, Friedrich. “The Berry-Esseen bound for student's statistic”. ANNALS OF PROBABILITY 24.1 (1996): 491-503.
PUB | WoS
 
[13]
1996 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1638947
Bentkus, V, and Götze, Friedrich. “Optimal rates of convergence in the CLT for quadratic forms”. ANNALS OF PROBABILITY 24.1 (1996): 466-490.
PUB | WoS
 
[12]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1640785
Götze, Friedrich, Heinrich, L, and Hipp, C. “M-DEPENDENT RANDOM-FIELDS WITH ANALYTIC CUMULANT GENERATING FUNCTION”. SCANDINAVIAN JOURNAL OF STATISTICS 22.2 (1995): 183-195.
PUB | WoS
 
[11]
1995 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1629293
Bentkus, V, and Götze, Friedrich. “ON THE LATTICE POINT PROBLEM FOR ELLIPSOIDS”. DOKLADY AKADEMII NAUK 343.4 (1995): 439-440.
PUB | WoS
 
[10]
1994 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1641122
Götze, Friedrich, and Hipp, C. “ASYMPTOTIC-DISTRIBUTION OF STATISTICS IN TIME-SERIES”. ANNALS OF STATISTICS 22.4 (1994): 2062-2088.
PUB | DOI | WoS
 
[9]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1645467
Bentkus, V, and Götze, Friedrich. “ON SMOOTHNESS CONDITIONS AND CONVERGENCE-RATES IN THE CLT IN BANACH-SPACES”. PROBABILITY THEORY AND RELATED FIELDS 96.2 (1993): 137-151.
PUB | DOI | WoS
 
[8]
1993 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1644732
Bolthausen, E, and Götze, Friedrich. “THE RATE OF CONVERGENCE FOR MULTIVARIATE SAMPLING STATISTICS”. ANNALS OF STATISTICS 21.4 (1993): 1692-1710.
PUB | DOI | WoS
 
[7]
1991 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1649810
Götze, Friedrich. “ON THE RATE OF CONVERGENCE IN THE MULTIVARIATE CLT”. ANNALS OF PROBABILITY 19.2 (1991): 724-739.
PUB | DOI | WoS
 
[6]
1990 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1651279
Götze, Friedrich, and Hipp, C. “LOCAL LIMIT-THEOREMS FOR SUMS OF FINITE-RANGE POTENTIALS OF A GIBBSIAN RANDOM FIELD”. ANNALS OF PROBABILITY 18.2 (1990): 810-828.
PUB | DOI | WoS
 
[5]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652749
Götze, Friedrich, and HIPP, C. “ASYMPTOTIC EXPANSIONS FOR POTENTIAL FUNCTIONS OF IID RANDOM-FIELDS”. PROBABILITY THEORY AND RELATED FIELDS 82.3 (1989): 349-370.
PUB | DOI | WoS
 
[4]
1989 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1652233
Götze, Friedrich. “EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS”. ANNALS OF PROBABILITY 17.4 (1989): 1602-1634.
PUB | DOI | WoS
 
[3]
1987 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655159
Götze, Friedrich. “APPROXIMATIONS FOR MULTIVARIATE U-STATISTICS”. JOURNAL OF MULTIVARIATE ANALYSIS 22.2 (1987): 212-229.
PUB | DOI | WoS
 
[2]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1656485
Götze, Friedrich. “ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES”. ANNALS OF PROBABILITY 14.3 (1986): 922-942.
PUB | DOI | WoS
 
[1]
1986 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1655885
Bickel, PJ, Götze, Friedrich, and Vanzwet, WR. “THE EDGEWORTH EXPANSION FOR U-STATISTICS OF DEGREE-2”. ANNALS OF STATISTICS 14.4 (1986): 1463-1484.
PUB | DOI | WoS
 

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