收稿日期: 2015-07-08
修回日期: 2016-03-24
网络出版日期: 2016-09-15
基金资助
国家自然科学基金（11171342）资助
P-convergence of a double sequence of random variables
Received date: 2015-07-08
Revised date: 2016-03-24
Online published: 2016-09-15
张志洋 , 胡晓予 . 二重随机变量序列的P-收敛性[J]. 中国科学院大学学报, 2016 , 33(5) : 590 -595 . DOI: 10.7523/j.issn.2095-6134.2016.05.003
In this study we investigate the P-convergence of random sum(say ξn) of a double random sequence of random variables {Xn,i:n≥1,i≥1} in two cases. The first case is that {ξn:n≥1} is independent of Xn,i:n≥1,i≥1},and the second case is that {ξn:n≥1} is not necessarily independent of the double sequence {Xn,i:n≥1,i≥1}.These results include P-convergence of a branching process in varying environments.
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