不同分布$\varphi$-混合序列的极限结果

Limiting Behavior of Delayed Sums of $\varphi$-Mixing under a Non-Identical Distribution Setup

中文关键词:  稳定律  重对数律  后置和  积分检验.

英文关键词:stable distribution  laws of the iterated logarithm  delayed sum  integral test.

中文摘要:

      本文通过积分检验, 刻画了不同分布的$\varphi$-混合序列后置和的极限结果,并由此导出了它们的Chover型重对数律,推广和改进了已有的结果.

英文摘要:

      We present an integral test to determine the limiting behavior of delayed sums under a non-identical distribution setup for $\varphi$-mixing sequence, and deduce Chover-type laws of the iterated logarithm for them. These complement and extend the results of Vasudeva and Divanji$^{[1]}$ and Chen et al.$^{[2]}$.