Estimation of Convergence Rate in the Transfer Theorem for Maxima

Let ZN be a maximum of independent identically distributed random variables. In this paper, a nonuniform estimate of convergence rate in the transfer theorem max-scheme is obtained. Presented results make the estimates, given in [1] and [2], more precise.

Bibliographic Details
Main Author: A. Aksomaitis
Format: Article
Language:English
Published: Vilnius University Press 2008-01-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/14584
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author A. Aksomaitis
author_facet A. Aksomaitis
author_sort A. Aksomaitis
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description Let ZN be a maximum of independent identically distributed random variables. In this paper, a nonuniform estimate of convergence rate in the transfer theorem max-scheme is obtained. Presented results make the estimates, given in [1] and [2], more precise.
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spelling doaj.art-8e044b528b31416a9352ffe30966057d2022-12-21T23:29:20ZengVilnius University PressNonlinear Analysis1392-51132335-89632008-01-0113110.15388/NA.2008.13.1.14584Estimation of Convergence Rate in the Transfer Theorem for MaximaA. Aksomaitis0Kaunas University of Technology, LithuaniaLet ZN be a maximum of independent identically distributed random variables. In this paper, a nonuniform estimate of convergence rate in the transfer theorem max-scheme is obtained. Presented results make the estimates, given in [1] and [2], more precise.http://www.journals.vu.lt/nonlinear-analysis/article/view/14584max-schemetransfer theoremlimit theoremrate of convergence
spellingShingle A. Aksomaitis
Estimation of Convergence Rate in the Transfer Theorem for Maxima
Nonlinear Analysis
max-scheme
transfer theorem
limit theorem
rate of convergence
title Estimation of Convergence Rate in the Transfer Theorem for Maxima
title_full Estimation of Convergence Rate in the Transfer Theorem for Maxima
title_fullStr Estimation of Convergence Rate in the Transfer Theorem for Maxima
title_full_unstemmed Estimation of Convergence Rate in the Transfer Theorem for Maxima
title_short Estimation of Convergence Rate in the Transfer Theorem for Maxima
title_sort estimation of convergence rate in the transfer theorem for maxima
topic max-scheme
transfer theorem
limit theorem
rate of convergence
url http://www.journals.vu.lt/nonlinear-analysis/article/view/14584
work_keys_str_mv AT aaksomaitis estimationofconvergencerateinthetransfertheoremformaxima