不同分布NA序列完全收敛性的注记

Notes on the complete convergence of negatively associated sequences with different distribution.

主要讨论了不同分布NA变量在不受某个随机变量X随机控制的条件下,其部分和的完全收敛性.通过适当改变矩条件,得到了不同分布NA随机变量序列部分和完全收敛性的充要条件,推广了苏淳等人的结论;同时获得了不同分布NA序列满足对数律的一个充要条件.

The complete convergence for partial sums of not necessary identically-distributed NA random variables which aren't stochastically dominated by a random variable X is discussed. By changing the moment condition, obtain the complete convergence of NA random variances sequence with different distribution,the results obtained extend the results of SU Chun et al. What's more, a sufficient and necessary condition for the law of logarithm of NA random variables with different distribution is obtained.