B－值随机变量序列尾和的重对数律

The Law of Iterated Logarithm for the Tail Sums of B-valued Random Variables

本文利用Ｌｅｄｏｕｘ和Ｔａｌａｇｒｘｎｄ的Ｉｓｏｐｅｒｉｍｅｔｒｉｃ方法，将尾和形式的Ｋｏｌｍｏｇｏｒｏｖ重对数律推广到Ｂ－值随机变量序列情形，进而得到一般形式Ｂ－值随机变量序列的尾和重对数律，同时对独立同分布Ｂ－值随机变量序列得到了配重尾和的重对数律。

In the present paper,the Kolmogorov's LIL of the tail sums is extended to thecase of B-valued random variables. And the general LIL for the tail sums of B-valued ran-dom variables are derived.Meantime,the LIL of weighted tail sums for the i.i.d.B-valuedrandom variables are given.