The strong law of large numbers for pairwise NQD random variables

被引：15

作者：

Wu, Qunying ^{[1
]}

Jiang, Yuanying ^{[1
]}

机构：

[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2011年 / 24卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Almost sure convergence; pairwise negatively quadrant dependent random variables; strong law of large numbers; DEPENDENT RANDOM-VARIABLES;

D O I：

10.1007/s11424-011-8086-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the almost sure convergence for pairwise negatively quadrant dependent random variables is studied. The strong law of large numbers for pairwise negatively quadrant dependent random variables is obtained. Our results generalize and improve those on almost sure convergence theorems previously obtained by Marcinkiewicz (1937), Jamison (1965), Matula (1992) and Wu (2001) from the independent identically distributed (i.i.d.) case to pairwise NQD sequences.

引用

页码：347 / 357

页数：11

共 50 条

[21] ON THE STRONG LAW OF LARGE NUMBERS FOR NONNEGATIVE RANDOM VARIABLES
Petrov, V. V.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2009, 53 (02) : 346 - U168
[22] The strong law of large numbers for dependent random variables
Kuczmaszewska, A
STATISTICS & PROBABILITY LETTERS, 2005, 73 (03) : 305 - 314
[23] Strong laws of large numbers for pairwise quadrant dependent random variables
da Silva, Joao Lita
STATISTICS & PROBABILITY LETTERS, 2018, 137 : 349 - 358
[24] On stochastic dominance and the strong law of large numbers for dependent random variables
Habib Naderi
Przemysław Matuła
Mohammad Amini
Abolghasem Bozorgnia
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016, 110 : 771 - 782
[25] On stochastic dominance and the strong law of large numbers for dependent random variables
Naderi, Habib
Matua, Przemyslaw
Amini, Mohammad
Bozorgnia, Abolghasem
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (02) : 771 - 782
[26] Marcinkiewicz-Zygmund Type Strong Law of Large Numbers for Pairwise i.i.d. Random Variables
Sung, Soo Hak
JOURNAL OF THEORETICAL PROBABILITY, 2014, 27 (01) : 96 - 106
[27] On strong law of large numbers and growth rate for a class of random variables
Shen, Yan
Yang, Jie
Hu, Shuhe
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[28] Generalization of strong law of large numbers for nonnegative random variables
Ghazani, Z. Shokooh
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2018, 57 (05): : 128 - 132
[29] Strong Law of Large Numbers for Negatively Associated Random Variables
Wang, Yourong
Tan, Yili
Liu, Yanli
INFORMATION COMPUTING AND APPLICATIONS, PT II, 2011, 244 : 18 - +
[30] On the strong law of large numbers for φ-mixing and ρ-mixing random variables
Anna Kuczmaszewska
Acta Mathematica Hungarica, 2011, 132 : 174 - 189

← 1 2 3 4 5 →