同分布NA序列部分和之和的强大数定律

同分布NA序列部分和之和的强大数定律

宇世航

齐齐哈尔大学数学系, 黑龙江齐齐哈尔 161006

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 宇世航

The strong law of large numbers for the sum of partial sums of identically distributed NA sequences

YU Shi-hang

Department of Mathematics Qiqihar University, Qiqihar 161006, Heilongjiang, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: YU Shi-hang

摘要/Abstract

摘要： 研究同分布NA随机变量序列｛Xn｝部分和之和Tn=∑ni=1Si(其中Sn=∑ni=1Xi)的强大数定律,通过给出一些等价的条件,建立了强大数定律,获得了与独立同分布序列情形下类似的结论。

关键词: NA序列, 部分和之和 , 强大数定律

Abstract: The strong law of large numbers for the sum of partial sum of identically distributed NA sequences was studied. The strong law of large numbers was established by giving some egenvalent conditions, and similar results to the I.I.D case were then obtained.

Key words: sum of partial sums , strong law of large numbeis, NA sequences

中图分类号:

O212

宇世航 . 同分布NA序列部分和之和的强大数定律[J]. J4, 2008, 43(4): 62-66 .

YU Shi-hang . The strong law of large numbers for the sum of partial sums of identically distributed NA sequences[J]. J4, 2008, 43(4): 62-66 .

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