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相依样本平滑移动过程的矩完全收敛性

郭明乐 何润东

数学杂志2013,Vol.33Issue(2):203-212,10.
数学杂志2013,Vol.33Issue(2):203-212,10.

相依样本平滑移动过程的矩完全收敛性

COMPLETE MOMENT CONVERGENCE OF MOVING AVERAGE PROCESSES UNDER DEPENDENCE ASSUMPTIONS

郭明乐 1何润东1

作者信息

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摘要

Abstract

In this paper,the moving average processes based on (φ)-mixing random sequence is investigated.By using moment inequality and truncation method,sufficient conditions for complete moment convergence of moving average processes based on (φ)-mixing random sequence are obtained.We improve some results in [4] and [10].

关键词

平滑移动过程/(φ)-混合/完全收敛性/矩完全收敛性

Key words

moving average process/ (φ)-mixing/ complete convergence/ complete moment convergence

分类

数理科学

引用本文复制引用

郭明乐,何润东..相依样本平滑移动过程的矩完全收敛性[J].数学杂志,2013,33(2):203-212,10.

基金项目

Supported by the National Natural Science Foundation of China (10901003) (10901003)

the Key Project of Chinese Ministry of Education (211077) (211077)

the Anhui Provincial Natural Science Foundation (1208085MA11). (1208085MA11)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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