关于两两PQD列的Jamison型加权乘积和的强稳定性及乘积和的Marcinkiewicz型强大数律

On the Strong Stability of Jamison Type Weighted Product Sums and the Marcinkiewicz Strong Law of Large Numbers of Product Sums for Pairwise PQD Sequences

摘要: 本文讨论了不同分布两两PQD列的Jamison型加权部分利与加权乘积和的强稳定性，讨论了它们的部分和与乘积和的Marcinkiewicz型强大数律，改进、推广了Jamison等（1965）， Etemadi（1983）， Birkel（1989）的相应结果。

Abstract: In this paper, we discuss the strong stability of Jamison type weighted partial and product sums, the Marcinkiewicz strong law of large numbers of partial and product sums for pairwise PQD sequences with different distribution, extend and improve corresponding results in Janmison et al（1965）, Etemadi（1983）, Birkel（1989）.