WOD随机变量序列的完全收敛性和矩完全收敛性

数学物理学报 ›› 2019, Vol. 39 ›› Issue (5): 1183-1191.

WOD随机变量序列的完全收敛性和矩完全收敛性

章茜(),蔡光辉*()

浙江工商大学统计与数学学院杭州 310018

收稿日期:2018-06-07 出版日期:2019-10-26 发布日期:2019-11-08
通讯作者: 蔡光辉 E-mail:qiwa_007@163.com;cghzju@163.com
作者简介:章茜, E-mail:qiwa_007@163.com
基金资助:
浙江省自然科学基金(LY17A010003);浙江省一流学科A类(浙江工商大学统计学)

Complete Convergence and Complete Moment Convergence for WOD Random Variables Sequences

Qian Zhang(),Guanghui Cai*()

College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018

Received:2018-06-07 Online:2019-10-26 Published:2019-11-08
Contact: Guanghui Cai E-mail:qiwa_007@163.com;cghzju@163.com
Supported by:
the Natural Science Foundation of Zhejiang Province(LY17A010003);the First Class Discipline of Zhejiang-A(浙江工商大学统计学)

摘要/Abstract

摘要：

该文采用五段截尾法，将Chen和Sung（2014）^[5]的定理2.1以及Qiu和Chen（2014）^[6]中的定理2.1推广至WOD随机变量序列情形，证明方法较已有的证明方法有所不同.

关键词: WOD随机变量序列, 完全收敛性, 矩完全收敛性

Abstract:

In this paper, we use a new method to improve the corresponding result of Chen and Sung (2014)^[5] and Qiu and Chen (2014)^[6] by truncating the WOD random variables into five parts.

Key words: WOD random variables sequences, Complete convergence, Complete moment convergence

中图分类号:

O211.4

章茜,蔡光辉. WOD随机变量序列的完全收敛性和矩完全收敛性[J]. 数学物理学报, 2019, 39(5): 1183-1191.

Qian Zhang,Guanghui Cai. Complete Convergence and Complete Moment Convergence for WOD Random Variables Sequences[J]. Acta mathematica scientia,Series A, 2019, 39(5): 1183-1191.

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