独立随机序列最大值的几乎处处极限定理

摘要

本文研究了独立随机序列最大值分布的几乎必然收敛性.利用有关协方差的不等式和加权平均,获得独立随机序列最大值的几乎处处极限.将独立同分布随机序列的结论,推广了独立但不同分布的情形.%In this paper we study almost sure convergence for the maxima of independent random variables.By using inequalities related to covariance and weightedmeans,We get the almost sure limit theorems for the maxima of independent random sequence.In this paper.the results of i.i.d random variables are extended to the independent and not identically distributed sequence of random variables.