A remark on the Kolmogorov–Feller weak law of large numbers

被引:0
作者
Fakhreddine Boukhari
机构
[1] Abou Bekr Belkaid University,Laboratoire de Statistique et Modélisations Aléatoires, Faculty of Sciences
来源
Proceedings - Mathematical Sciences | / 132卷
关键词
Limit theorems; weak law of large numbers; random variables with infinite means; maximal inequalities; 60F15;
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摘要
Here, we present a strengthened version of the Kolmogorov–Feller weak law of large numbers. The proof is short and avoids the use of the symmetrization method.
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[1]  
Chandra TK(2014)On an extension of the weak law of large numbers of Kolmogorov and Feller Stoch. Anal. Appl. 32 421-426
[2]  
Etemadi N(1985)On some classical results in probability theory, Sankhyā Ser. A 47 215-221
[3]  
Kruglov VM(2011)A Generalization of weak law of large numbers Stoch. Anal. Appl. 29 674-683