STRONG APPROXIMATIONS FOR PARTIAL SUMS OF WEAKLY DEPENDENT RANDOM VARIABLES

被引：0

作者：

邵启满 ^{[1
]}

陆传荣 ^{[1
]}

机构：

[1] Hangzhou University

来源：

Science China Mathematics | 1987年 / 06期

关键词：

mixing; inequality; essentially; martingale; Probability; apply; verify; stationary; stand; notation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we first establish a fundamental theorem on strong approximations for a series of mixing sequences and then consider the cases of φ-mixing and α-mixing. The results obtained essentially improve those given by Philipp and Stout (1975).

引用

页码：575 / 587

页数：13

共 50 条

[31] The strong convergence properties of weighted sums for a class of dependent random variables
Song, Mingzhu
Zhu, Quanxin
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (14) : 3455 - 3465
[32] STRONG CONVERGENCE FOR WEIGHED SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES
Chen, Zhiyong
Wang, Haibin
Wang, Xuejun
Hu, Shuhe
[J]. KYBERNETIKA, 2016, 52 (01) : 52 - 65
[33] A Strong Limit Theorem for Weighted Sums of Negatively Dependent Random Variables
Sung, Soo Hak
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, 44 (02) : 428 - 439
[34] On the strong convergence for weighted sums of negatively superadditive dependent random variables
Meng, Bing
Wang, Dingcheng
Wu, Qunying
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[35] On the strong convergence for weighted sums of negatively superadditive dependent random variables
Bing Meng
Dingcheng Wang
Qunying Wu
[J]. Journal of Inequalities and Applications, 2017
[36] The variance of partial sums of strong near-epoch dependent variables
Qiu, Jin
Lin, Zhengyan
[J]. STATISTICS & PROBABILITY LETTERS, 2006, 76 (17) : 1845 - 1854
[37] ALMOST SURE INVARIANCE PRINCIPLES FOR SUMS OF WEAKLY DEPENDENT RANDOM-VARIABLES
PHILIPP, W
STOUT, WF
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (06): : A557 - A557
[38] Poisson and compound Poisson approximations for random sums of random variables
Vellaisamy, P
Chaudhuri, B
[J]. JOURNAL OF APPLIED PROBABILITY, 1996, 33 (01) : 127 - 137
[39] STABLE LIMITS FOR PARTIAL-SUMS OF DEPENDENT RANDOM-VARIABLES
DAVIS, RA
[J]. ANNALS OF PROBABILITY, 1983, 11 (02): : 262 - 269
[40] COMPOUND POISSON APPROXIMATIONS FOR SUMS OF 1-DEPENDENT RANDOM VARIABLES. I
Petrauskiene, J.
Cekanavicius, V.
[J]. LITHUANIAN MATHEMATICAL JOURNAL, 2010, 50 (03) : 323 - 336

← 1 2 3 4 5 →