关于ρ--混合随机变量序列部分最大和范数的矩条件

数学季刊 ›› 2011, Vol. 26 ›› Issue (4): 499-504.

关于ρ^--混合随机变量序列部分最大和范数的矩条件

1. Management Committee Office, Zhaoqing High-Tech Zone2. School of Sciences, Guilin University of Technology3. Dawang Middle School, Zhaoqing High-Tech Zone

收稿日期:2008-03-21 出版日期:2011-12-30 发布日期:2023-04-13
作者简介:TAN Cheng-liang(1982-), male, native of Zhuzhou, Hunan, M.S.D., engages in probability limit theory and numerical calculation.
基金资助:
Supported by the National Science Foundation of China(10661006)； Supported by Innovation Project of Guangxi Graduate Education(2007105960812M18)；

On Moments of the Maximum of Normed Partial Sums of ρ⁻-mixing Random Variables

1. Management Committee Office, Zhaoqing High-Tech Zone2. School of Sciences, Guilin University of Technology3. Dawang Middle School, Zhaoqing High-Tech Zone

Received:2008-03-21 Online:2011-12-30 Published:2023-04-13
About author:TAN Cheng-liang(1982-), male, native of Zhuzhou, Hunan, M.S.D., engages in probability limit theory and numerical calculation.
Supported by:
Supported by the National Science Foundation of China(10661006)； Supported by Innovation Project of Guangxi Graduate Education(2007105960812M18)；

摘要/Abstract

摘要： In this paper, we obtain the moment conditions for the supermun of normed sums of ρ--mixing random variables by using the Rosenthal-type inequality for Maximum partial sums of ρ--mixing random variables. The result obtained generalize the results of Chen(2008) and extend those to negatively associated sequences and ρ--mixing random variables.

关键词: moments of supermun of normed partial sums, ρ^?-mixing random variables; ρ^?-mixing random variables, negatively associated random variables

Abstract: In this paper, we obtain the moment conditions for the supermun of normed sums of ρ--mixing random variables by using the Rosenthal-type inequality for Maximum partial sums of ρ--mixing random variables. The result obtained generalize the results of Chen(2008) and extend those to negatively associated sequences and ρ--mixing random variables.

中图分类号:

O211.5

谭成良, 吴群英, 何燕梅. 关于ρ^--混合随机变量序列部分最大和范数的矩条件[J]. 数学季刊, 2011, 26(4): 499-504.

TAN Cheng-liang, WU Qun-ying, HE Yan-mei. On Moments of the Maximum of Normed Partial Sums of ρ⁻-mixing Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 499-504.