A note on the weak law of large numbers of Kolmogorov and Feller

被引:4
作者
Ma, Fuqiang [1 ]
Miao, Yu [2 ]
Mu, Jianyong [3 ]
机构
[1] Pingdingshan Univ, Coll Math & Stat, Pingdingshan 467000, Henan, Peoples R China
[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
来源
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2020年 / 130卷 / 01期
关键词
NQD sequence; weak law of large numbers; moment convergence; RANDOM-VARIABLES; CONVERGENCE; EXTENSION; SEQUENCES;
D O I
10.1007/s12044-019-0528-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we establish the weak laws of large numbers for the negative quadrant-dependent random sequences which extend the classic Kolmogorov-Feller weak law of large numbers. In addition, the moment convergence for the negative quadrant-dependent random sequences are also given.
引用
收藏
页数:13
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