EXTENSIONS OF SEVERAL CLASSICAL RESULTS FOR INDEPENDENT AND IDENTICALLY DISTRIBUTED RANDOM VARIABLES TO CONDITIONAL CASES

被引：3
|
作者：
Yuan, De-Mei [1 ]
Li, Shun-Jing [1 ]
机构：
[1] Chongqing Technol & Business Univ, Sch Math & Stat, Chongqing 400067, Peoples R China
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 02期
基金：
中国国家自然科学基金;
关键词：
conditional independence; conditional identical distribution; conditional Kolmogorov convergence criterion; conditional Marcinkiewicz-Zygmund inequalities; conditional Marcinkiewicz-Zygmund strong law; LIMIT-THEOREMS; SEQUENCES; DEMIMARTINGALES;
D O I：
10.4134/JKMS.2015.52.2.431
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Extensions of the Kolmogorov convergence criterion and the Marcinkiewicz-Zygmund inequalities from independent random variables to conditional independent ones are derived. As their applications, a conditional version of the Marcinkiewicz-Zygmund strong law of large numbers and a result on convergence in LP for conditionally independent and conditionally identically distributed random variables are established, respectively.
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页码：431 / 445
页数：15
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