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相依随机变量列的随机和的中心极限问题 被引量:1

Ceniral Limit Problem for Random Sums of Dependent Random Variables
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摘要 本文给出阵列框架下的相依随机变量列的随机和弱收敛和稳定收敛的充分必要条件,我们的结果与经典结果相似并囊括此方向上的所有已知结果. This paper is to give neceessary and sufficient conditions for random sums of dependent random variables to converge weakly(or stably) in the double-array scheme.
作者 张博
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2002年第3期535-544,共10页 Acta Mathematica Sinica:Chinese Series
关键词 中心极限问题 随主变量阵列 停时 随机和 弱收敛 稳定收敛 Array of random variables Stopping times Random sums Weak convergence Stable convergence Relative compactness
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