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负相关样本平滑移动过程的矩完全收敛性

郭明乐 戴佳佳 祝东进

应用数学2012,Vol.25Issue(1):118-125,8.
应用数学2012,Vol.25Issue(1):118-125,8.

负相关样本平滑移动过程的矩完全收敛性

Complete Moment Convergence of Moving Average Processes under Negative Association Assumptions

郭明乐 1戴佳佳 1祝东进1

作者信息

  • 1. 安徽师范大学数学计算机科学学院,安徽芜湖241003
  • 折叠

摘要

Abstract

The moving average processes Xk =Σ∞i=-∞ai+kYi is investigated,where {Yi,-∞<i<∞} is a double infinite sequence of negatively associated random variables which is stochastically dominated by a random variable X,and {ai,-∞<i<∞} is an absolutely summable sequence of real numbers.We prove the complete moment convergence of moving average processes under some suitable conditions,improving the former results.

关键词

平滑移动过程/负相关/完全收敛性/矩完全收敛性

Key words

Moving average process/Negative association/Complete convergence/Complete moment convergence

分类

数理科学

引用本文复制引用

郭明乐,戴佳佳,祝东进..负相关样本平滑移动过程的矩完全收敛性[J].应用数学,2012,25(1):118-125,8.

基金项目

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

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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