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

[41] Approximations for sums of three-valued 1-dependent symmetric random variables
Liaudanskaite, Gabija
Cekanavicius, Vydas
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2020, 25 (04): : 675 - 691
[42] Compound Poisson approximations for sums of 1-dependent random variables. I
J. Petrauskienė
V. Čekanavičius
[J]. Lithuanian Mathematical Journal, 2010, 50 : 323 - 336
[43] COMPOUND POISSON APPROXIMATIONS FOR SUMS OF 1-DEPENDENT RANDOM VARIABLES. II
Petrauskiene, Jurate
Cekanavicius, Vydas
[J]. LITHUANIAN MATHEMATICAL JOURNAL, 2011, 51 (01) : 51 - 65
[44] Compound poisson approximations for sums of 1-dependent random variables. II
Jūratė Petrauskienė
Vydas Čekanavičius
[J]. Lithuanian Mathematical Journal, 2011, 51 : 51 - 65
[45] COMPOUND POISSON APPROXIMATIONS FOR SUMS OF RANDOM-VARIABLES
SERFOZO, RF
[J]. ANNALS OF PROBABILITY, 1986, 14 (04): : 1391 - 1398
[46] Exponential inequalities for sums of weakly dependent variables
Delyon, Bernard
[J]. ELECTRONIC JOURNAL OF PROBABILITY, 2009, 14 : 752 - 779
[47] Strong laws of large numbers for weighted sums of negatively dependent random variables
Ko, Mi-Hwa
Han, Kwang-Hee
Kim, Tae-Sung
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2006, 43 (06) : 1325 - 1338
[48] Strong Convergence for Weighted Sums of Widely Orthant Dependent Random Variables and Applications
Wu, Yi
Wang, Xuejun
Shen, Aiting
[J]. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2023, 25 (01)
[49] Tail asymptotics of randomly weighted sums of dependent strong subexponential random variables
Qian, Huan
Geng, Bingzhen
Wang, Shijie
[J]. LITHUANIAN MATHEMATICAL JOURNAL, 2022, 62 (01) : 113 - 122
[50] A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables
Wu, Qunying
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,

← 1 2 3 4 5 →