ρ--混合序列部分和最大值的一些不等式和强大数律的收敛速度

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 114-119.

ρ^-_-混合序列部分和最大值的一些不等式和强大数律的收敛速度

1. Management Committee Offce, Zhaoqing High-Tech Zone2. Department of Maths and Physics, Guilin University of Technology3. Dawang Middle School, Zhaoqing High-Tech Zone

收稿日期:2007-06-14 出版日期:2011-03-30 发布日期:2023-05-12
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(10661006)； Supported by Innovation Project of Guangxi Graduate Education(2007105960812M18)；

Inequalities of Maximum of Partial Sums and Convergence Rates in the Strong Laws for ρ^--mixing Random Variables

1. Management Committee Offce, Zhaoqing High-Tech Zone2. Department of Maths and Physics, Guilin University of Technology3. Dawang Middle School, Zhaoqing High-Tech Zone

Received:2007-06-14 Online:2011-03-30 Published:2023-05-12
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(10661006)； Supported by Innovation Project of Guangxi Graduate Education(2007105960812M18)；

摘要/Abstract

摘要： In this paper, we establish a Rosenthal-type inequality of partial sums for ρ^--mixing random variables. As its applications, we get the complete convergence rates in the strong laws for ρ^--mixing random variables. The result obtained extends the corresponding result.

关键词: convergence rates, rosenthal type inequality, ρ^--mixing random variables, ρ-mixing random variables, negatively associated random variables

Abstract: In this paper, we establish a Rosenthal-type inequality of partial sums for ρ^--mixing random variables. As its applications, we get the complete convergence rates in the strong laws for ρ^--mixing random variables. The result obtained extends the corresponding result.

Key words: convergence rates, rosenthal type inequality, ρ^--mixing random variables, ρ-mixing random variables, negatively associated random variables

中图分类号:

O211.4

谭成良, 吴群英, 何燕梅. ρ^-_-混合序列部分和最大值的一些不等式和强大数律的收敛速度[J]. 数学季刊, 2011, 26(1): 114-119.

TAN Cheng-liang, WU Qun-ying, HE Yan-mei. Inequalities of Maximum of Partial Sums and Convergence Rates in the Strong Laws for ρ^--mixing Random Variables [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 114-119.

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