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

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...

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Bibliographic Details
Main Authors: Zhicheng Chen, Xinsheng Liu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/3945946