Götze, Friedrich

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Articles (30)

• Sambale, Holger, Götze, Friedrich. Second order concentration via logarithmic Sobolev inequalities. Bernoulli 2020. 26:93-126
• Ulyanov, Vladimir, Spokoiny, Vladimir, Naumov, Alexey, Götze, Friedrich. Large ball probabilities, Gaussian comparison and anti-concentration. Bernoulli 2019. 2019:-
• Timushev, Dmitry, Tikhomirov, Alexander, Naumov, Alexey, Götze, Friedrich. On the local semicircular law for Wigner ensembles. Bernoulli 2018. 24:2358-2400
• Tikhomirov, Alexander, Naumov, Alexey, Götze, Friedrich. Distribution of linear statistics of singular values of the product of random matrices. Bernoulli 2017. 2017:-
• Zaitsev, Andrei Yu., Götze, Friedrich. Explicit rates of approximation in the CLT for quadratic forms. The Annals of Probability 2014. 42:354-397
• Venker, Martin, Götze, Friedrich. Local universality of repulsive particle systems and random matrices. The Annals of Probability 2014. 42:2207-2242
• Kukso, Olga, Götze, Friedrich, Kaliada, Dzianis. The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Lithuanian Mathematical Journal 2014. 54:150-165
• Kukso, Olga, Götze, Friedrich, Bernik, Vasilii. On algebraic points in the plane near smooth curves∗. Lithuanian Mathematical Journal 2014. 54:231-251
• Götze, Friedrich, Chistyakov, Gennadiy P., Bobkov, Sergey G.. Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem. The Annals of Probability 2013. 41:2479-2512
• Gotze, Friedrich, Goetze, Friedrich, Bobkov, Sergey G., Chistyakov, Gennadiy P., Götze, Friedrich. Bounds for characteristic functions in terms of quantiles and entropy. Electronic Communications in Probability 2012. 17:1-9
• Götze, Friedrich, Chistyakov, Gennadiy, Bobkov, Sergey. Bounds for characteristic functions in terms of quantiles and entropy. Electronic Communications in Probability 2012. 2012:-
• Bloznelis, Mindaugas, Götze, Friedrich, Jaworski, Jerzy. Birth of a strongly connected giant in an inhomogeneous random digraph. Journal of Applied Probability 2012. 49:601-611
• Gotze, Friedrich, Goetze, Friedrich, Götze, Friedrich, Tikhomirov, Alexander. The circular law for random matrices. The Annals of Probability 2010. 38:1444-1491
• Bobkov, Sergey G., Götze, Friedrich. Concentration inequalities and limit theorems for randomized sums. Probability Theory and Related Fields 2007. 137:49-81
• Götze, Friedrich, Tikhomirov, Alexander. Rate of convergence in probability to the Marchenko-Pastur law. Bernoulli 2004. 10:503-548
• Giné, Evarist, Götze, Friedrich. On standard normal convergence of the multivariate student $t$-statistic for symmetric random vectors. Electronic Communications in Probability 2004. 9:162-171
• Gotze, Friedrich, Goetze, Friedrich, Rackauskas, Alfredas, Götze, Friedrich, Račkauskas, Alfredas. Adaptive choice of bootstrap sample sizes. Institute of Mathematical Statistics Lecture Notes - Monograph Series 2001. 2001:286-309
• Gotze, Friedrich, Goetze, Friedrich, Houdre, Christian, Bobkov, Sergey G., Götze, Friedrich, Houdré, Christian. On Gaussian and Bernoulli covariance representations. Bernoulli 2001. 7:439-451
• Götze, Friedrich, Bloznelis, Mindaugas. An Edgeworth expansion for finite-population U-statistics. Bernoulli 2000. 6:729-760
• Gotze, Friedrich, Goetze, Friedrich, Bloznelis, Mindaugas, Götze, Friedrich. An edgeworth expansion for finite-population $U$-statistics. Bernoulli 2000. 6:729-760
• Gotze, Friedrich, Goetze, Friedrich, Götze, Friedrich, Milbrodt, Hartmut. The work of Johann Pfanzagl. Mathematical Methods of Statistics 1999. 8:121-141
• Gine, Evarist, Gotze, Friedrich, Goetze, Friedrich, Giné, Evarist, Götze, Friedrich, Mason, David M.. When is the Student $t$-statistic asymptotically standard normal?. The Annals of Probability 1997. 25:1514-1531
• Mason, David M., Götze, Friedrich, Giné, Evarist. When is the Student $t$-statistic asymptotically standard normal?. The Annals of Probability 1997. 25:1514-1531
• Götze, Friedrich, Bhattacharya, Rabi N.. Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities. Bernoulli 1995. 1:81-123
• Gotze, Friedrich, Goetze, Friedrich, Bhattacharya, Rabi N., Götze, Friedrich. Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities (Corr: 96V2 p107-108). Bernoulli 1995. 1:81-123
• Gotze, Friedrich, Goetze, Friedrich, Zitikis, Ricardas, Bentkus, Vidmantas, Götze, Friedrich, Zitikis, Ričardas. Lower estimates of the convergence rate for $U$-statistics. The Annals of Probability 1994. 22:1707-1714
• Gotze, Friedrich, Goetze, Friedrich, Zitikis, Ricardas, Bentkus, Vidmantas, Götze, Friedrich, Zitikis, Ričardas. Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to $\omega$-statistics. Journal of Theoretical Probability 1993. 6:727-780
• Gotze, Friedrich, Goetze, Friedrich, Bolthausen, Erwin, Götze, Friedrich. The rate of convergence for multivariate sampling statistics. The Annals of Statistics 1993. 21:1692-1710
• Zitikis, Ričardas, Götze, Friedrich, Bentkus, Vidmantas. Asymptotic expansions in the integral and local limit theorems in banach spaces with applications to ω-statistics. Journal of Theoretical Probability 1993. 6:727-780
• Gotze, Friedrich, Goetze, Friedrich, Bentkus, Vidmantas, Götze, Friedrich. On smoothness conditions and convergence rates in the CLT in Banach spaces. Probability Theory and Related Fields 1993. 96:137-151