On an Extension of the Weak Law of Large Numbers of Kolmogorov and Feller

被引：9
作者：
Chandra, Tapas Kumar [1 ]
机构：
[1] Indian Stat Inst, Bayesian & Interdisciplinary Res Unit, Kolkata 700108, India
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2014年 / 32卷 / 03期
关键词：
Weak law of large numbers; Maximal inequalities; Slowly varying functions; Asymptotically almost negative association; Negative association; UNIFORM INTEGRABILITY;
D O I：
10.1080/07362994.2014.886263
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Kolmogorov-Feller WLLN is extended to AANA sequences which are strictly weaker than negatively associated sequences by modifying the arguments of Kruglov [12]. The assumption of identical distribution has been dispensed with in a natural way.
引用
收藏
页码：421 / 426
页数：6
相关论文
共 14 条
[1]  
[Anonymous], 2001, EXERCISES PROBABILIT
[2]  
Bose A., 1994, CAL STAT ASS B, V44, P115
[3]  
Chandra T. K., 1992, SANKHYA A, V55, P327
[4]  
CHANDRA TK, 1989, SANKHYA SER A, V51, P309
[5]  
CHANDRA TK, 1992, SANKHYA SER A, V54, P215
[6]   Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables [J].
Chandra, TK ;
Ghosal, S .
ACTA MATHEMATICA HUNGARICA, 1996, 71 (04) :327-336
[7]  
Chow Y. S., 1997, Probability theory. Independence, interchangeability, martingales, Vthird
[8]  
Chung K.L., 1951, P 2 BERK S MATH STAT, P341
[9]   A LIMIT THEOREM FOR RANDOM VARIABLES WITH INFINITE MOMENTS [J].
FELLER, W .
AMERICAN JOURNAL OF MATHEMATICS, 1946, 68 (02) :257-262
[10]  
Gut A., 2013, PROBABILITY GRADUATE
12