The laws of large numbers for some general random variables with infinite means

被引：0
|
作者：
Zhang, Zhiyang [1 ]
Chen, Yingxia [2 ]
Miao, Yu [1 ,3 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
[2] Pingdingshan Univ, Sch Math & Stat, Pingdingshan, Henan, Peoples R China
[3] Henan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contro, Xinxiang, Henan, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2024年
基金：
中国国家自然科学基金;
关键词：
Burr distribution; Exact laws of large numbers; i.i.d. random variables; Ratios; LIMIT-THEOREMS; ORDER-STATISTICS; RATIOS; DISTRIBUTIONS; SYSTEM;
D O I：
10.1080/03610918.2024.2424479
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In the present paper, the exact laws of large numbers for weighted sums of some general random variables, which include the Burr type distribution, are established. As applications, we discuss the exact laws for ratios of random variable and order statistics.
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页数：18
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