Götze, F.; Tikhomirov, A.; Timushev, D. Rate of convergence for sparse sample covariance matrices. (English) Zbl 07822571 Belomestny, Denis (ed.) et al., Foundations of modern statistics. Festschrift in honor of Vladimir Spokoiny. Selected contributions based on the presentations at the international conference, Berlin, Germany, November 6–8, 2019 and Moscow, Russia, November 30, 2019. Cham: Springer. Springer Proc. Math. Stat. 425, 261-300 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{F. Götze} et al., Springer Proc. Math. Stat. 425, 261--300 (2023; Zbl 07822571) Full Text: DOI
Bloznelis, Mindaugas; Götze, Friedrich Edgeworth approximations for distributions of symmetric statistics. (English) Zbl 07565239 Probab. Theory Relat. Fields 183, No. 3-4, 1153-1235 (2022). MSC: 62E20 60F05 PDFBibTeX XMLCite \textit{M. Bloznelis} and \textit{F. Götze}, Probab. Theory Relat. Fields 183, No. 3--4, 1153--1235 (2022; Zbl 07565239) Full Text: DOI arXiv
Samworth, Richard J. (ed.); Yuan, Ming (ed.); Bickel, Peter (ed.); Götze, Friedrich (ed.); Fisher, Nicholas (ed.) Preface: Section of memorial articles for Willem van Zwet. (English) Zbl 1475.00155 Ann. Stat. 49, No. 5, 2431 (2021). MSC: 00B30 62-06 01A70 PDFBibTeX XMLCite \textit{R. J. Samworth} (ed.) et al., Ann. Stat. 49, No. 5, 2431 (2021; Zbl 1475.00155) Full Text: DOI Link
Götze, F.; Zaitsev, A. Yu. Estimates for closeness of convolutions of probability distributions on convex polyhedra. (English. Russian original) Zbl 1471.60029 J. Math. Sci., New York 251, No. 1, 67-73 (2020); translation from Zap. Nauchn. Semin. POMI 474, 108-117 (2018). MSC: 60F05 62E17 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Yu. Zaitsev}, J. Math. Sci., New York 251, No. 1, 67--73 (2020; Zbl 1471.60029); translation from Zap. Nauchn. Semin. POMI 474, 108--117 (2018) Full Text: DOI arXiv
Götze, F.; Naumov, A. A.; Tikhomirov, A. N. Moment inequalities for linear and nonlinear statistics. (English. Russian original) Zbl 1437.62172 Theory Probab. Appl. 65, No. 1, 1-16 (2020); translation from Teor. Veroyatn. Primen. 65, No. 1, 3-22 (2020). MSC: 62G30 60E15 PDFBibTeX XMLCite \textit{F. Götze} et al., Theory Probab. Appl. 65, No. 1, 1--16 (2020; Zbl 1437.62172); translation from Teor. Veroyatn. Primen. 65, No. 1, 3--22 (2020) Full Text: DOI
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich Nonuniform bounds in the Poisson approximation with applications to informational distances. II. (English) Zbl 1456.62025 Lith. Math. J. 59, No. 4, 469-497 (2019). MSC: 62E17 62B10 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Lith. Math. J. 59, No. 4, 469--497 (2019; Zbl 1456.62025) Full Text: DOI arXiv
Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Non-uniform bounds in the Poisson approximation with applications to informational distances. I. (English) Zbl 1432.62034 IEEE Trans. Inf. Theory 65, No. 9, 5283-5293 (2019). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 62E17 62B10 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., IEEE Trans. Inf. Theory 65, No. 9, 5283--5293 (2019; Zbl 1432.62034) Full Text: DOI arXiv
Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Gaussian mixtures and normal approximation for V. N. Sudakov’s typical distributions. (English) Zbl 1478.60072 J. Math. Sci., New York 238, No. 4, 366-376 (2019) and Zap. Nauchn. Semin. POMI 457, 37-52 (2017). MSC: 60E15 62E17 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., J. Math. Sci., New York 238, No. 4, 366--376 (2019; Zbl 1478.60072) Full Text: DOI
Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Rényi divergence and the central limit theorem. (English) Zbl 1466.60065 Ann. Probab. 47, No. 1, 270-323 (2019). MSC: 60F15 60E05 62B10 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Ann. Probab. 47, No. 1, 270--323 (2019; Zbl 1466.60065) Full Text: DOI arXiv Euclid
[Agricola, Ilka; Götze, Friedrich; Grötschel, Martin; Hulek, Klaus; Michor, Peter; Nebe, Gabriele; Prömel, Hans Jürgen; Vygen, Jens; Woeginger, Gerhard] Seven questions on bibliometrics. (Sieben Fragen zur Bibliometrie.) (German) Zbl 1387.01030 Mitt. Dtsch. Math.-Ver. 25, No. 4, 215-224 (2017). MSC: 62P99 PDFBibTeX XMLCite Mitt. Dtsch. Math.-Ver. 25, No. 4, 215--224 (2017; Zbl 1387.01030) Full Text: DOI
Götze, F.; Naumov, A.; Ulyanov, V. Asymptotic analysis of symmetric functions. (English) Zbl 1395.60028 J. Theor. Probab. 30, No. 3, 876-897 (2017). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60F05 60F17 62G05 62G10 PDFBibTeX XMLCite \textit{F. Götze} et al., J. Theor. Probab. 30, No. 3, 876--897 (2017; Zbl 1395.60028) Full Text: DOI arXiv
Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Regularized distributions and entropic stability of Cramer’s characterization of the normal law. (English) Zbl 1387.60020 Stochastic Processes Appl. 126, No. 12, 3865-3887 (2016). MSC: 60E05 62E10 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Stochastic Processes Appl. 126, No. 12, 3865--3887 (2016; Zbl 1387.60020) Full Text: DOI arXiv
Götze, Friedrich; Venker, Martin Local universality of repulsive particle systems and random matrices. (English) Zbl 1301.60009 Ann. Probab. 42, No. 6, 2207-2242 (2014). MSC: 60B20 82C22 62H20 PDFBibTeX XMLCite \textit{F. Götze} and \textit{M. Venker}, Ann. Probab. 42, No. 6, 2207--2242 (2014; Zbl 1301.60009) Full Text: DOI arXiv
Götze, Friedrich; Zaitsev, Andrei Yu. Explicit rates of approximation in the CLT for quadratic forms. (English) Zbl 1290.60021 Ann. Probab. 42, No. 1, 354-397 (2014). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 62E20 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Yu. Zaitsev}, Ann. Probab. 42, No. 1, 354--397 (2014; Zbl 1290.60021) Full Text: DOI arXiv Euclid
Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Stability problems in Cramér-type characterization in case of i.i.d.summands. (English. Russian original) Zbl 1303.60015 Theory Probab. Appl. 57, No. 4, 568-588 (2013); translation from Teor. Veroyatn. Primen. 57, No. 4, 701-723 (2012). Reviewer: Romanas Yanushkevichius (Vilnius) MSC: 60E07 62E10 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Theory Probab. Appl. 57, No. 4, 568--588 (2013; Zbl 1303.60015); translation from Teor. Veroyatn. Primen. 57, No. 4, 701--723 (2012) Full Text: DOI
Bickel, P. J.; Götze, F.; van Zwet, W. R. Resampling fewer than \(n\) observations: gains, losses, and remedies for losses. (English) Zbl 1373.62173 van Zwet, Willem, Selected works of Willem van Zwet. Edited by Sara van de Geer and Marten Wegkamp. New York, NY: Springer (ISBN 978-1-4614-1313-4/hbk; 978-1-4614-1314-1/ebook). Selected Works in Probability and Statistics, 267-297 (2012). MSC: 62G09 62G20 PDFBibTeX XMLCite \textit{P. J. Bickel} et al., in: Selected works of Willem van Zwet. Edited by Sara van de Geer and Marten Wegkamp. New York, NY: Springer. 267--297 (2012; Zbl 1373.62173) Full Text: DOI
Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Entropic instability of Cramer’s characterization of the normal law. (English) Zbl 1371.60005 van Zwet, Willem, Selected works of Willem van Zwet. Edited by Sara van de Geer and Marten Wegkamp. New York, NY: Springer (ISBN 978-1-4614-1313-4/hbk; 978-1-4614-1314-1/ebook). Selected Works in Probability and Statistics, 231-242 (2012). MSC: 60B10 60F05 62B10 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., in: Selected works of Willem van Zwet. Edited by Sara van de Geer and Marten Wegkamp. New York, NY: Springer. 231--242 (2012; Zbl 1371.60005) Full Text: DOI
Bickel, P. J.; Götze, F.; van Zwet, W. R. The Edgeworth expansion for \(U\)-statistics of degree two. (English) Zbl 1373.62064 van Zwet, Willem, Selected works of Willem van Zwet. Edited by Sara van de Geer and Marten Wegkamp. New York, NY: Springer (ISBN 978-1-4614-1313-4/hbk; 978-1-4614-1314-1/ebook). Selected Works in Probability and Statistics, 209-230 (2012). MSC: 62E20 60F05 62G20 PDFBibTeX XMLCite \textit{P. J. Bickel} et al., in: Selected works of Willem van Zwet. Edited by Sara van de Geer and Marten Wegkamp. New York, NY: Springer. 209--230 (2012; Zbl 1373.62064) Full Text: DOI
Bobkov, S. G.; Götze, F. Concentration of empirical distribution functions with applications to non-i.i.d. models. (English) Zbl 1207.62106 Bernoulli 16, No. 4, 1385-1414 (2010). MSC: 62G30 62H10 60E15 62E17 60F10 15B52 PDFBibTeX XMLCite \textit{S. G. Bobkov} and \textit{F. Götze}, Bernoulli 16, No. 4, 1385--1414 (2010; Zbl 1207.62106) Full Text: DOI arXiv
Chistyakov, G. P.; Götze, F. Independence of linear forms with random coefficients. (English) Zbl 1105.62052 Probab. Theory Relat. Fields 137, No. 1-2, 1-24 (2007). MSC: 62H05 62E10 PDFBibTeX XMLCite \textit{G. P. Chistyakov} and \textit{F. Götze}, Probab. Theory Relat. Fields 137, No. 1--2, 1--24 (2007; Zbl 1105.62052) Full Text: DOI
Götze, Friedrich; van Zwet, Willem R. An expansion for a discrete non-lattice distribution. (English) Zbl 1119.62013 Fan, Jiangqing (ed.) et al., Frontiers in statistics. Dedicated to Peter John Bickel on honor of his 65th birthday. Hackensack, NJ: World Scientific (ISBN 1-86094-670-4/hbk; 1-86094-698-4/pbk). 257-274 (2006). MSC: 62E20 62E17 PDFBibTeX XMLCite \textit{F. Götze} and \textit{W. R. van Zwet}, in: Frontiers in statistics. Dedicated to Peter John Bickel on honor of his 65th birthday. Hackensack, NJ: World Scientific. 257--274 (2006; Zbl 1119.62013) Full Text: arXiv
Giné, Evarist; Götze, Friedrich On standard normal convergence of the multivariate Student {\(t\)}-statistic for symmetric random vectors. (English) Zbl 1056.62013 Electron. Commun. Probab. 9, 162-171 (2004). MSC: 62E10 60E05 62E20 60F05 PDFBibTeX XMLCite \textit{E. Giné} and \textit{F. Götze}, Electron. Commun. Probab. 9, 162--171 (2004; Zbl 1056.62013) Full Text: DOI EuDML
Chistyakov, G. P.; Götze, F. Limit distributions of Studentized means. (English) Zbl 1056.60020 Ann. Probab. 32, No. 1A, 28-77 (2004). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60F05 62E20 PDFBibTeX XMLCite \textit{G. P. Chistyakov} and \textit{F. Götze}, Ann. Probab. 32, No. 1A, 28--77 (2004; Zbl 1056.60020) Full Text: DOI
Chistyakov, G. P.; Götze, F. Moderate deviations for Student’s statistic. (English) Zbl 1033.60054 Theory Probab. Appl. 47, No. 3, 415-428 (2002) and Teor. Veroyatn. Primen. 47, No. 3, 518-532 (2002). MSC: 60G50 60F05 62E20 PDFBibTeX XMLCite \textit{G. P. Chistyakov} and \textit{F. Götze}, Theory Probab. Appl. 47, No. 3, 415--428 (2002) and Teor. Veroyatn. Primen. 47, No. 3, 518--532 (2002; Zbl 1033.60054) Full Text: DOI
Götze, F.; Tikhomirov, A. N. Rate of convergence to the semicircular law for the Gaussian unitary ensemble. (English) Zbl 1041.60033 Theory Probab. Appl. 47, No. 2, 323-330 (2002) and Teor. Veroyatn. Primen. 47, No. 2, 381-387 (2002). Reviewer: Petr Lachout (Praha) MSC: 60F99 62E20 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. N. Tikhomirov}, Theory Probab. Appl. 47, No. 2, 323--330 (2002) and Teor. Veroyatn. Primen. 47, No. 2, 381--387 (2002; Zbl 1041.60033) Full Text: DOI
Bloznelis, M.; Götze, F. An Edgeworth expansion for symmetric finite population statistics. (English) Zbl 1010.62017 Ann. Probab. 30, No. 3, 1238-1265 (2002). MSC: 62E20 62D05 60F05 PDFBibTeX XMLCite \textit{M. Bloznelis} and \textit{F. Götze}, Ann. Probab. 30, No. 3, 1238--1265 (2002; Zbl 1010.62017) Full Text: DOI
Götze, F.; Tikhomirov, A. Asymptotic distribution of quadratic forms and applications. (English) Zbl 1002.60018 J. Theor. Probab. 15, No. 2, 423-475 (2002). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 60F05 62E20 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Tikhomirov}, J. Theor. Probab. 15, No. 2, 423--475 (2002; Zbl 1002.60018) Full Text: DOI
Götze, Friedrich; Račkauskas, Alfredas Adaptive choice of bootstrap sample sizes. (English) Zbl 1373.62177 de Gunst, Mathisca (ed.) et al., State of the art in probability and statistics. Festschrift for Willem R. van Zwet. Papers from the symposium, Leiden, Netherlands, March 23–26, 1999. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-50-1). IMS Lect. Notes, Monogr. Ser. 36, 286-309 (2001). MSC: 62G09 62D05 62E20 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Račkauskas}, IMS Lect. Notes, Monogr. Ser. 36, 286--309 (2001; Zbl 1373.62177) Full Text: DOI Euclid
Bloznelis, M.; Götze, F. Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. (English) Zbl 1012.62009 Ann. Stat. 29, No. 3, 899-917 (2001). MSC: 62D05 62E20 PDFBibTeX XMLCite \textit{M. Bloznelis} and \textit{F. Götze}, Ann. Stat. 29, No. 3, 899--917 (2001; Zbl 1012.62009) Full Text: DOI
Bloznelis, Mindaugas; Götze, Friedrich An Edgeworth expansion for finite-population \(U\)-statistics. (English) Zbl 0982.62009 Bernoulli 6, No. 4, 729-760 (2000). MSC: 62E20 62D05 PDFBibTeX XMLCite \textit{M. Bloznelis} and \textit{F. Götze}, Bernoulli 6, No. 4, 729--760 (2000; Zbl 0982.62009) Full Text: DOI
Bentkus, V.; Götze, F.; Paulauskas, V.; Račkauskas, A. The accuracy of Gaussian approximation in Banach spaces. (English) Zbl 0960.60008 Gamkrelidze, R. V. (ed.) et al., Limit theorems of probability theory. Transl. from the Russian by B. Seckler. Berlin: Springer. 25-111 (2000). Reviewer: Daniela Jarušková (Praha) MSC: 60B12 62E10 PDFBibTeX XMLCite \textit{V. Bentkus} et al., in: Limit theorems of probability theory. Transl. from the Russian by B. Seckler. Berlin: Springer. 25--111 (2000; Zbl 0960.60008)
Götze, F.; Zalesky, B. A. Restoration of binary images for Bernoullian noise models. (English) Zbl 1033.62058 Math. Methods Stat. 8, No. 3, 299-319 (1999). MSC: 62H35 62G05 62M40 68U10 PDFBibTeX XMLCite \textit{F. Götze} and \textit{B. A. Zalesky}, Math. Methods Stat. 8, No. 3, 299--319 (1999; Zbl 1033.62058)
Götze, Friedrich; Milbrodt, Hartmut The work of Johann Pfanzagl. (English) Zbl 1103.62300 Math. Methods Stat. 8, No. 2, 121-141 (1999). MSC: 62-03 01A70 62F05 62F12 62G20 PDFBibTeX XMLCite \textit{F. Götze} and \textit{H. Milbrodt}, Math. Methods Stat. 8, No. 2, 121--141 (1999; Zbl 1103.62300)
Bloznelis, M.; Götze, F. One-term Edgeworth expansion for finite population \(U\)-statistics of degree two. (English) Zbl 0939.62021 Acta Appl. Math. 58, No. 1-3, 75-90 (1999). MSC: 62E20 60F05 62D05 PDFBibTeX XMLCite \textit{M. Bloznelis} and \textit{F. Götze}, Acta Appl. Math. 58, No. 1--3, 75--90 (1999; Zbl 0939.62021) Full Text: DOI
Bentkus, V.; Götze, F. Optimal bounds in non-Gaussian limit theorems for \(U\)-statistics. (English) Zbl 1008.62017 Ann. Probab. 27, No. 1, 454-521 (1999). Reviewer: Arnold Janssen (Düsseldorf) MSC: 62E20 62G20 60F05 PDFBibTeX XMLCite \textit{V. Bentkus} and \textit{F. Götze}, Ann. Probab. 27, No. 1, 454--521 (1999; Zbl 1008.62017) Full Text: DOI
Götze, F. Errata to: “Lattice point problems and the central limit theorem in Euclidean spaces”. (English) Zbl 1371.60053 Doc. Math., Extra Vol. ICM Berlin 1998, Vol. I, 648 (1998). MSC: 60F05 62E20 11P21 PDFBibTeX XMLCite \textit{F. Götze}, Doc. Math. Extra Vol., 648 (1998; Zbl 1371.60053) Full Text: EMIS
Götze, F. Lattice point problems and the central limit theorem in Euclidean spaces. (English) Zbl 0906.60023 Doc. Math., Extra Vol. ICM Berlin 1998, vol. III, 245-255 (1998); errata ibid. vol. I, 648 (1998). MSC: 60F05 62E20 11P21 PDFBibTeX XMLCite \textit{F. Götze}, Doc. Math. Extra Vol., 245--255 (1998; Zbl 0906.60023) Full Text: EuDML EMIS
Bentkus, V.; Bloznelis, M.; Götze, F. A Berry-Esséen bound for M-estimators. (English) Zbl 0921.62032 Scand. J. Stat. 24, No. 4, 485-502 (1997). Reviewer: Joseph Melamed (Los Angeles) MSC: 62G05 62F10 62F12 PDFBibTeX XMLCite \textit{V. Bentkus} et al., Scand. J. Stat. 24, No. 4, 485--502 (1997; Zbl 0921.62032) Full Text: DOI
Bentkus, V.; Götze, F. Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces. (English) Zbl 0888.60021 Probab. Theory Relat. Fields 109, No. 3, 367-416 (1997). MSC: 60F05 62E20 PDFBibTeX XMLCite \textit{V. Bentkus} and \textit{F. Götze}, Probab. Theory Relat. Fields 109, No. 3, 367--416 (1997; Zbl 0888.60021) Full Text: DOI
Bentkus, V.; Götze, F.; Tikhomirov, A. Berry-Esseen bounds for statistics of weakly dependent samples. (English) Zbl 1066.62505 Bernoulli 3, No. 3, 329-349 (1997). MSC: 62E20 62G20 PDFBibTeX XMLCite \textit{V. Bentkus} et al., Bernoulli 3, No. 3, 329--349 (1997; Zbl 1066.62505) Full Text: DOI Link
Giné, Evarist; Götze, Friedrich; Mason, David M. When is the Student \(t\)-statistic asymptotically standard normal? (English) Zbl 0958.60023 Ann. Probab. 25, No. 3, 1514-1531 (1997). MSC: 60F05 62E20 PDFBibTeX XMLCite \textit{E. Giné} et al., Ann. Probab. 25, No. 3, 1514--1531 (1997; Zbl 0958.60023) Full Text: DOI
Bickel, P. J.; Götze, F.; van Zwet, W. R. Resampling fewer than \(n\) observations: gains, losses, and remedies for losses. (English) Zbl 0927.62043 Stat. Sin. 7, No. 1, 1-31 (1997). MSC: 62G09 62G20 PDFBibTeX XMLCite \textit{P. J. Bickel} et al., Stat. Sin. 7, No. 1, 1--31 (1997; Zbl 0927.62043)
Bentkus, V.; Götze, F.; van Zwet, W. R. An Edgeworth expansion for symmetric statistics. (English) Zbl 0920.62016 Ann. Stat. 25, No. 2, 851-896 (1997). Reviewer: K.-i.Yoshihara (Tokyo) MSC: 62E20 60F05 PDFBibTeX XMLCite \textit{V. Bentkus} et al., Ann. Stat. 25, No. 2, 851--896 (1997; Zbl 0920.62016) Full Text: DOI
Bentkus, V.; Götze, F. The Berry-Esseen bound for Student’s statistic. (English) Zbl 0855.62009 Ann. Probab. 24, No. 1, 491-503 (1996). MSC: 62E20 60F05 PDFBibTeX XMLCite \textit{V. Bentkus} and \textit{F. Götze}, Ann. Probab. 24, No. 1, 491--503 (1996; Zbl 0855.62009) Full Text: DOI
Bentkus, V.; Götze, F. Optimal rates of convergence in the CLT for quadratic forms. (English) Zbl 0858.62010 Ann. Probab. 24, No. 1, 466-490 (1996). MSC: 62E20 60F05 PDFBibTeX XMLCite \textit{V. Bentkus} and \textit{F. Götze}, Ann. Probab. 24, No. 1, 466--490 (1996; Zbl 0858.62010) Full Text: DOI
Bentkus, V.; Götze, F.; Paulauskas, V. Bounds for the accuracy of Poissonian approximations of stable laws. (English) Zbl 0885.62014 Stochastic Processes Appl. 65, No. 1, 55-68 (1996). Reviewer: Petr Lachout (Praha) MSC: 62E20 60F05 60E07 PDFBibTeX XMLCite \textit{V. Bentkus} et al., Stochastic Processes Appl. 65, No. 1, 55--68 (1996; Zbl 0885.62014) Full Text: DOI
Götze, F.; Künsch, H. R. Second-order correctness of the blockwise bootstrap for stationary observations. (English) Zbl 0906.62040 Ann. Stat. 24, No. 5, 1914-1933 (1996). MSC: 62G09 62M10 62G15 62E20 PDFBibTeX XMLCite \textit{F. Götze} and \textit{H. R. Künsch}, Ann. Stat. 24, No. 5, 1914--1933 (1996; Zbl 0906.62040) Full Text: DOI
Götze, F.; Zitikis, R. Edgeworth expansions and bootstrap for degenerate von Mises statistics. (English) Zbl 0853.62019 Probab. Math. Stat. 15, 327-351 (1995). Reviewer: Zhang Dixin (Guiyang) MSC: 62E20 62G09 60F05 62G15 PDFBibTeX XMLCite \textit{F. Götze} and \textit{R. Zitikis}, Probab. Math. Stat. 15, 327--351 (1995; Zbl 0853.62019)
Bentkus, Vidmantas; Götze, Friedrich; Zitikis, Ričardas Lower estimates of the convergence rate for \(U\)-statistics. (English) Zbl 0839.60023 Ann. Probab. 22, No. 4, 1707-1714 (1994). Reviewer: L.Heinrich (Freiberg) MSC: 60F05 62E20 PDFBibTeX XMLCite \textit{V. Bentkus} et al., Ann. Probab. 22, No. 4, 1707--1714 (1994; Zbl 0839.60023) Full Text: DOI
Götze, F.; Hipp, C. Asymptotic distribution of statistics in time series. (English) Zbl 0827.62015 Ann. Stat. 22, No. 4, 2062-2088 (1994). MSC: 62E20 62M10 60F05 PDFBibTeX XMLCite \textit{F. Götze} and \textit{C. Hipp}, Ann. Stat. 22, No. 4, 2062--2088 (1994; Zbl 0827.62015) Full Text: DOI
Bentkus, Vidmantas; Götze, Friedrich; Zitikis, Ričardas Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to \(\omega\)-statistics. (English) Zbl 0807.60007 J. Theor. Probab. 6, No. 4, 727-780 (1993). Reviewer: A.J.Račkauskas (Vilnius) MSC: 60B12 62E20 PDFBibTeX XMLCite \textit{V. Bentkus} et al., J. Theor. Probab. 6, No. 4, 727--780 (1993; Zbl 0807.60007) Full Text: DOI
Bolthausen, Erwin; Götze, Friedrich The rate of convergence for multivariate sampling statistics. (English) Zbl 0798.62023 Ann. Stat. 21, No. 4, 1692-1710 (1993). Reviewer: G.Roussas (Davis) MSC: 62E20 60F05 62G99 PDFBibTeX XMLCite \textit{E. Bolthausen} and \textit{F. Götze}, Ann. Stat. 21, No. 4, 1692--1710 (1993; Zbl 0798.62023) Full Text: DOI
Bentkus, V.; Götze, F.; Paulauskas, V.; Račkauskas, A. Accuracy of Gaussian approximation in Banach spaces. (Russian) Zbl 0797.60010 Gamkrelidze, R. V. (ed.) et al., Probability theory - 6. Limit theorems in probability theory. Moskva: Vsesoyuznyj Institut Nauchnoj i Tekhnicheskoj Informatsii, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya. 81, 39-139 (1991). Reviewer: A.I.Volodin (Kazan’) MSC: 60B12 62E10 PDFBibTeX XMLCite \textit{V. Bentkus} et al., in: Теория вероятностей -- 6. Пределъные теоремы теории вероятностей. Moskva: Vsesoyuznyj Institut Nauchnoj i Tekhnicheskoj Informatsii. 39--139 (1991; Zbl 0797.60010)
Götze, F. On the rate of convergence in the multivariate CLT. (English) Zbl 0729.62051 Ann. Probab. 19, No. 2, 724-739 (1991). Reviewer: Heinrich Hering (Göttingen) MSC: 62H10 62E20 60F05 PDFBibTeX XMLCite \textit{F. Götze}, Ann. Probab. 19, No. 2, 724--739 (1991; Zbl 0729.62051) Full Text: DOI
Götze, F. Edgeworth expansions in functional limit theorems. (English) Zbl 0689.60038 Ann. Probab. 17, No. 4, 1602-1634 (1989). MSC: 60F17 62E20 PDFBibTeX XMLCite \textit{F. Götze}, Ann. Probab. 17, No. 4, 1602--1634 (1989; Zbl 0689.60038) Full Text: DOI
Götze, F. Approximations for multivariate U-statistics. (English) Zbl 0624.62028 J. Multivariate Anal. 22, 212-229 (1987). Reviewer: M.Denker MSC: 62E20 60F05 PDFBibTeX XMLCite \textit{F. Götze}, J. Multivariate Anal. 22, 212--229 (1987; Zbl 0624.62028) Full Text: DOI
Bickel, P. J.; Götze, F.; van Zwet, W. R. The Edgeworth expansion for U-statistics of degree two. (English) Zbl 0614.62015 Ann. Stat. 14, 1463-1484 (1986). Reviewer: R.Helmers MSC: 62E20 60F05 62G99 PDFBibTeX XMLCite \textit{P. J. Bickel} et al., Ann. Stat. 14, 1463--1484 (1986; Zbl 0614.62015) Full Text: DOI
Bickel, Peter J.; Götze, Friedrich; van Zwet, W. R. A simple analysis of third-order efficiency of estimates. (English) Zbl 1373.62093 Le Cam, Lucien M. (ed.) et al., Proceedings of the Berkeley conference in honor of Jerzy Neyman and Jack Kiefer, held in Berkeley, California, June 20 – July 1, 1983. Volume II. Belmont, Calif.: Wadsworth Advanced Books and Software; Hayward, Calif.: Institute of Mathematical Statistics (ISBN 0-534-03357-1). Wadsworth Statistics/Probability Series, 749-768 (1985). MSC: 62F12 PDFBibTeX XMLCite \textit{P. J. Bickel} et al., in: Proceedings of the Berkeley conference in honor of Jerzy Neyman and Jack Kiefer, held in Berkeley, California, June 20 -- July 1, 1983. Volume II. Belmont, Calif.: Wadsworth Advanced Books and Software; Hayward, Calif.: Institute of Mathematical Statistics. 749--768 (1985; Zbl 1373.62093)
Goetze, F. On Edgeworth expansions in Banach spaces. (English) Zbl 0473.60009 Ann. Probab. 9, 852-859 (1981). MSC: 60B12 62E20 PDFBibTeX XMLCite \textit{F. Goetze}, Ann. Probab. 9, 852--859 (1981; Zbl 0473.60009) Full Text: DOI
Goetze, F. Second-order optimality of randomized estimation and test procedures. (English) Zbl 0472.62039 J. Multivariate Anal. 11, 260-272 (1981). MSC: 62F12 62F05 62E20 62G20 PDFBibTeX XMLCite \textit{F. Goetze}, J. Multivariate Anal. 11, 260--272 (1981; Zbl 0472.62039) Full Text: DOI
Götze, F. Asymptotic expansions for bivariate von Mises functionals. (English) Zbl 0405.60009 Z. Wahrscheinlichkeitstheor. Verw. Geb. 50, 333-355 (1979). MSC: 60B12 60F05 62E20 PDFBibTeX XMLCite \textit{F. Götze}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 50, 333--355 (1979; Zbl 0405.60009) Full Text: DOI
Götze, Friedrich Asymptotic expansions in the central limit theorem in Banach spaces. (English) Zbl 0429.60005 Mathematisch-Naturwissenschaftliche Fakultät der Universität zu Köln. 63 p. (1978). MSC: 60B12 62E20 PDFBibTeX XML