EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES

被引：0

作者：

Ko, Mi-Hwa ^{[1
]}

Choi, Yong-Kab ^{[2
]}

Choi, Yue-Soon ^{[3
]}

机构：

[1] Seoul Natl Univ, Stat Res Ctr Complex Syst, Seoul 151742, South Korea

[2] Gyeongsang Natl Univ, Div Math & Informat Stat, Kyungnam 660701, South Korea

[3] Wonkwang Univ, Div Elect Elect Informat Engn, Jeonbuk 570749, South Korea

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 22卷 / 01期

关键词：

exponential inequality; negatively associated; linearly negative; quadrant dependent; almost sure convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a Berstein-Hoeffding type inequality is established for linearly negative quadrant dependent random variables. A condition is given for almost sure convergence and the associated rate of convergence is specified.

引用

页码：137 / 143

页数：7

共 10 条

[1] DEVROYE L, 1991, NATO ADV SCI I C-MAT, V335, P31
[2] PROBABILITY-INEQUALITIES FOR SUMS OF BOUNDED RANDOM-VARIABLES
HOEFFDING, W
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1963, 58 (301) : 13 - +
[3] NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS
JOAGDEV, K
PROSCHAN, F
[J]. ANNALS OF STATISTICS, 1983, 11 (01) : 286 - 295
[4] INDEPENDENCE VIA UNCORRELATEDNESS UNDER CERTAIN DEPENDENCE STRUCTURES
JOAGDEV, K
[J]. ANNALS OF PROBABILITY, 1983, 11 (04) : 1037 - 1041
[5] Kim T. S., ROCKY MOUNT IN PRESS
[6] SOME CONCEPTS OF DEPENDENCE
LEHMANN, EL
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1137 - &
[7] A NOTE ON THE ALMOST SURE CONVERGENCE OF SUMS OF NEGATIVELY DEPENDENT RANDOM-VARIABLES
MATULA, P
[J]. STATISTICS & PROBABILITY LETTERS, 1992, 15 (03) : 209 - 213
[8] Newman CM., 1984, IMS STATIST LECT NOT, V5, P127, DOI [10.1214/lnms/1215465639, DOI 10.1214/1NMS/1215465639]
[9] ROUSSAS GG, 1996, IMS LECT NOTES MONOG, V30, P303
[10] A comparison theorem on moment inequalities between negatively associated and independent random variables
Shao, QM
[J]. JOURNAL OF THEORETICAL PROBABILITY, 2000, 13 (02) : 343 - 356

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