关于关联随机变量序列的极限收敛定理
LIMIT THEOREMS FOR SEQUENCE OF DEPENDENT RANDOM VARIABLES
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摘要: 本文给出了两两PQD的随机变量序列的级数收敛及加权部分和的稳定性的两个结果。另给出了相伴(associated)序列加权和的稳定性的一个结果。最后给出了一个级数收敛定理条件不能减弱的反例。Abstract: This paper gives two results about sequenoe of pairwise positive quadrant dependent random variables. One is a about the convergence almost everywhere of its series, the other, the stability of sums of its weighted random variables. There is also a result about stability of sums of weighted associated random variables in this paper. It gives at last a counter example to indicate that the condition of the convergenoe of a series as given in this paper can not be waekened.