关于PA列部分和与乘积和的Marcinkiewicz型强大数律  

ON THE MARCINKIEWICZ STRONG LAW OF LARGE NUMBERS OF PARTIAL SUMS AND PRODUCT SUMS FOR PA RANDOM VARIABLES

作　　者：刘亦农[1] 王岳宝[2] 严继高[2] 

机构地区：[1]南京经济学院应用数学系,南京210003 [2]苏州大学数学系,苏州215006

出　　处：《数学杂志》2003年第3期369-374,共6页Journal of Mathematics

基　　金：江苏省教育厅自然科学基金

摘　　要：Birkel(1989)d在方差存在的条件下,证明了不同分布PA列部分和的Kolmogorov型强大数律.本文取消了方差存在的限制,在合理的矩条件下证明了更一般的不同分布PA列部分和与乘积和的Marcinkiewicz型强大数律,从而能将独立列的相应结果作为自己的特况.Under the condition of that variances exist, Birkel (1989) proved the Kolmogorov strong law of large numbers of partial sums for PA sequences with identical distribution. In this paper, under the condition of reasonable moment, we discuss the Marcinkiewicz strong law of large numbers of partial sums and product sums for more generalized PA sequences with different distribution. Then, we can consider the corresponding results for independent sequences as the particular case of this paper.

关 键 词：PA列 乘积和 强大数律 

分 类 号：O212.1[理学—概率论与数理统计]