Almost Sure Limit Theorems for Multivariate General Standard Normal Sequences and Applications-Reference-Cited by-同舟云学术

Almost Sure Limit Theorems for Multivariate General Standard Normal Sequences and Applications

Published:2020-05-18 Issue: Volume:2020 Page:1-9
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Chen Zhicheng¹²,Liu Xinsheng¹^ORCID

Affiliation:

1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Key Laboratory for Intelligent Nano Materials and Devices of the Ministry of Education, Institute of Nano Science and Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

2. Department of Mathematics, Henan Institute of Science and Technology, Xinxiang 453003, China

Abstract

Under suitable conditions, the almost sure central limit theorems for the maximum of general standard normal sequences of random vectors are proved. The simulation of the almost sure convergence for the maximum is firstly performed, which helps to visually understand the theorems by applying to two new examples.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2020/3945946.pdf

Reference26 articles.

1. Almost Sure Convergence in Extreme Value Theory

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1. Almost sure convergence for the maxima and minima of strongly dependent nonstationary multivariate Gaussian sequences;Mathematical Foundations of Computing;2022