On Convergence Rates in the Marcinkiewicz-Zygmund Strong Law of Large Numbers

被引：2
|
作者：
Boukhari, Fakhreddine [1 ]
机构：
[1] Abou Bekr Belkaid Univ, Lab Stat & Modelisat Aleatoires, Fac Sci, BP 119, Tilimsen 13000, Algeria
来源：
RESULTS IN MATHEMATICS | 2021年 / 76卷 / 04期
关键词：
Marcinkiewicz-Zygmund laws; general limit theorems; Baum-Katz laws; tail probabilities;
D O I：
10.1007/s00025-021-01487-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1967, Heyde and Rohatgi obtained two results on the rate of convergence in the Marcinkiewicz-Zygmund strong law of large numbers. In the present work, we show that the independence requirement in their theorems is unnecessary when the common law satisfies a suitable integrability condition.
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页数：11
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