Hajek-Renyi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications

被引：2

作者：

Ko, Mi-Hwa ^{[1
]}

机构：

[1] Wonkwang Univ, Div Math & Informat Stat, Jeonbuk, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Asymptotically almost negative association; Hilbert space; Hajek-Renyi inequality; Strong law of large numbers; Mixing coefficients; DEPENDENT RANDOM-VARIABLES; LARGE NUMBERS; STRONG LAW; CONVERGENCE; SEQUENCES; AANA;

D O I：

10.1186/s13660-018-1671-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the Hajek-Renyi inequality and, as an application, we study the strong law of large numbers for H-valued m-asymptotically almost negatively associated random vectors with mixing coefficients {q(n), n >= 1} such that Sigma(infinity)(n=1) q(n)(2) < infinity.

引用

页数：9

共 19 条

[1] Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications
Mi-Hwa Ko
Journal of Inequalities and Applications, 2018
[2] HAJEK-RENYI INEQUALITY FOR DEPENDENT RANDOM VARIABLES IN HILBERT SPACE AND APPLICATIONS
Miao, Yu
REVISTA DE LA UNION MATEMATICA ARGENTINA, 2012, 53 (01): : 101 - 112
[3] A note on the Hajek-Renyi inequality for associated random variables
Sung, Soo Hak
STATISTICS & PROBABILITY LETTERS, 2008, 78 (07) : 885 - 889
[4] HAJEK-RENYI TYPE INEQUALITY FOR STOCHASTIC VECTORS WITH APPLICATIONS TO SIMULTANEOUS CONFIDENCE REGIONS
SEN, PK
ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (03): : 1132 - &
[5] Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space
He, Qihui
Pan, Lin
OPEN MATHEMATICS, 2023, 21 (01):
[6] Maximal inequalities and strong law of large numbers for sequences of m-asymptotically almost negatively associated random variables
Trinh Hoai Nam
Hu, Tien-Chung
Volodin, Andrei
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (06) : 2696 - 2707
[7] Some limiting behavior of the maximum of the partial sum for asymptotically negatively associated random vectors in Hilbert space
Ko, Mi-Hwa
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (11) : 3598 - 3611
[8] Complete convergence for coordinatewise asymptotically negatively associated random vectors in Hilbert spaces
Ko, Mi-Hwa
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (03) : 671 - 680
[9] Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
YUAN DeMei & AN Jun School of Mathematics and Statistics
Science China Mathematics, 2009, (09) : 1887 - 1904
[10] Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
DeMei Yuan
Jun An
Science in China Series A: Mathematics, 2009, 52 : 1887 - 1904

← 1 2 →