Asymptotics of the Joint Distribution of Multivariate Extrema

Let Wn and Zn be a bivariate extrema of independent identically distributed bivariate random variables with a distribution function F. in this paper the nonuniform estimate of convergence rate of the joint distribution of the normalized and centralized minima and maxima is obtained.

Bibliographic Details
Main Authors: A. Aksomaitis, A. Jokimaitis
Format: Article
Language:English
Published: Vilnius University Press 2001-06-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15220
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author A. Aksomaitis
A. Jokimaitis
author_facet A. Aksomaitis
A. Jokimaitis
author_sort A. Aksomaitis
collection DOAJ
description Let Wn and Zn be a bivariate extrema of independent identically distributed bivariate random variables with a distribution function F. in this paper the nonuniform estimate of convergence rate of the joint distribution of the normalized and centralized minima and maxima is obtained.
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spelling doaj.art-b72e5ba71ff245a8a60aead0ba7e0cb92022-12-21T23:28:41ZengVilnius University PressNonlinear Analysis1392-51132335-89632001-06-016110.15388/NA.2001.6.1.15220Asymptotics of the Joint Distribution of Multivariate ExtremaA. Aksomaitis0A. Jokimaitis1Kaunas University of Technology, LithuaniaKaunas University of Technology, LithuaniaLet Wn and Zn be a bivariate extrema of independent identically distributed bivariate random variables with a distribution function F. in this paper the nonuniform estimate of convergence rate of the joint distribution of the normalized and centralized minima and maxima is obtained.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15220multivariate extreme valuelimit distributionsconvergence rate
spellingShingle A. Aksomaitis
A. Jokimaitis
Asymptotics of the Joint Distribution of Multivariate Extrema
Nonlinear Analysis
multivariate extreme value
limit distributions
convergence rate
title Asymptotics of the Joint Distribution of Multivariate Extrema
title_full Asymptotics of the Joint Distribution of Multivariate Extrema
title_fullStr Asymptotics of the Joint Distribution of Multivariate Extrema
title_full_unstemmed Asymptotics of the Joint Distribution of Multivariate Extrema
title_short Asymptotics of the Joint Distribution of Multivariate Extrema
title_sort asymptotics of the joint distribution of multivariate extrema
topic multivariate extreme value
limit distributions
convergence rate
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15220
work_keys_str_mv AT aaksomaitis asymptoticsofthejointdistributionofmultivariateextrema
AT ajokimaitis asymptoticsofthejointdistributionofmultivariateextrema