二重随机变量序列的P-收敛性 |
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作者姓名: | 张志洋 胡晓予 |
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作者单位: | 中国科学院大学数学科学学院, 北京 100049 |
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基金项目: | 国家自然科学基金(11171342)资助 |
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摘 要: | 研究两种情形下二重随机变量序列{Xn,i:n≥1,i≥1}的随机和的P-收敛性.一种情形是求和个数(随机变量ξn)与{Xn,i:n≥1,i≥1}相互独立,另一种情形是{ξn:n≥1}与{Xn,i:n≥1,i≥1}不一定独立.这其中包括变化环境中分枝过程的P-收敛性.
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关 键 词: | 二重序列随机和 分枝过程 P-收敛 |
收稿时间: | 2015-07-08 |
修稿时间: | 2016-03-24 |
P-convergence of a double sequence of random variables |
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Authors: | ZHANG Zhiyang HU Xiaoyu |
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Institution: | School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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Abstract: | 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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Keywords: | random sum of a double random sequence of random variables branching process P-convergence |
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