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两两PQD序列部分和之和的弱大数律
引用本文:沈建伟.两两PQD序列部分和之和的弱大数律[J].杭州应用工程技术学院学报,2013(6):409-413.
作者姓名:沈建伟
作者单位:浙江科技学院理学院,杭州310023
摘    要:利用随机变量的截尾方法和两两PQD序列的矩不等式,得到了矩条件下两两PQD序列部分和之和的弱大数律,该结果去除了随机变量对称同分布的限制条件,推广了若干已有的弱大数律。

关 键 词:两两PQD序列  部分和之和  弱大数律  截尾

Weak law of large numbers for sum of partial sums of pairwise PQD sequence of random variables
SHEN Jianwei.Weak law of large numbers for sum of partial sums of pairwise PQD sequence of random variables[J].Journal of Hangzhou Institute of Applied Engineering,2013(6):409-413.
Authors:SHEN Jianwei
Affiliation:SHEN Jianwei (School of Sciences, Zhejiang University of Science and Technology, Hangzhou 310023, China)
Abstract:The weak law of large numbers for sum of partial sums of pairwise PQD sequence of random variables is obtained under the moment conditions by the truncation methods of random variables and moment inequalities of pairwise PQD sequence.The available results which eliminate the restriction of symmetric random variable and identical distribution extend to some known theorems.
Keywords:pairwise PQD sequence  sum of partial sums  weak law of large numbers  truncation
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