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.
Main Authors: | , |
---|---|
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 |
_version_ | 1818367184718528512 |
---|---|
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. |
first_indexed | 2024-12-13T22:48:01Z |
format | Article |
id | doaj.art-b72e5ba71ff245a8a60aead0ba7e0cb9 |
institution | Directory Open Access Journal |
issn | 1392-5113 2335-8963 |
language | English |
last_indexed | 2024-12-13T22:48:01Z |
publishDate | 2001-06-01 |
publisher | Vilnius University Press |
record_format | Article |
series | Nonlinear Analysis |
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 |