Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences

In this paper, we prove the almost sure convergences for the maximum and minimum of nonstationary and stationary standardized normal vector sequences under some suitable conditions.

Bibliographic Details
Main Authors:	Zhicheng Chen, Hongyun Zhang, Xinsheng Liu
Format:	Article
Language:	English
Published:	MDPI AG 2020-04-01
Series:	Mathematics
Subjects:	extreme value almost sure central limit theorem multivariate vectors maximum and minimum nonstationary and stationary normal sequences
Online Access:	https://www.mdpi.com/2227-7390/8/4/618

id	doaj-701d269ec16243b5b9aa29db5db8f6aa
record_format	Article
spelling	doaj-701d269ec16243b5b9aa29db5db8f6aa2020-11-25T02:31:31ZengMDPI AGMathematics2227-73902020-04-01861861810.3390/math8040618Almost Sure Convergence for the Maximum and Minimum of Normal Vector SequencesZhicheng Chen0Hongyun Zhang1Xinsheng Liu2State Key Laboratory of Mechanics and Control of Mechanical Structures, Institute of Nano Science and Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaDepartment of Mathematics, Henan Institute of Science and Technology, Xinxiang 453003, ChinaState Key Laboratory of Mechanics and Control of Mechanical Structures, Institute of Nano Science and Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaIn this paper, we prove the almost sure convergences for the maximum and minimum of nonstationary and stationary standardized normal vector sequences under some suitable conditions.https://www.mdpi.com/2227-7390/8/4/618extreme valuealmost sure central limit theoremmultivariate vectorsmaximum and minimumnonstationary and stationary normal sequences
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zhicheng Chen Hongyun Zhang Xinsheng Liu
spellingShingle	Zhicheng Chen Hongyun Zhang Xinsheng Liu Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences Mathematics extreme value almost sure central limit theorem multivariate vectors maximum and minimum nonstationary and stationary normal sequences
author_facet	Zhicheng Chen Hongyun Zhang Xinsheng Liu
author_sort	Zhicheng Chen
title	Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences
title_short	Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences
title_full	Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences
title_fullStr	Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences
title_full_unstemmed	Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences
title_sort	almost sure convergence for the maximum and minimum of normal vector sequences
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2020-04-01
description	In this paper, we prove the almost sure convergences for the maximum and minimum of nonstationary and stationary standardized normal vector sequences under some suitable conditions.
topic	extreme value almost sure central limit theorem multivariate vectors maximum and minimum nonstationary and stationary normal sequences
url	https://www.mdpi.com/2227-7390/8/4/618
work_keys_str_mv	AT zhichengchen almostsureconvergenceforthemaximumandminimumofnormalvectorsequences AT hongyunzhang almostsureconvergenceforthemaximumandminimumofnormalvectorsequences AT xinshengliu almostsureconvergenceforthemaximumandminimumofnormalvectorsequences
_version_	1724824029513121792

Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences

Similar Items