关于Chow-Lai型加权和的强稳定性

ON STRONG STABILITY FOR CHOW-LAI'S WEIGHTED SUMS

在更一般的场合 ,讨论了 Chow- Lai型加权和的强稳定 ,矩和权函数之间的相互关系 .在充分性结果中 ,对 r.v.列不加任何相关性的限制 ,把必要性结果从独立列到推广到两两NQD列 ,所有的讨论都不要求同分布 .

In this paper, we discuss the relations among the strong stability of Chow-Lais weighted sums, moment and weighted functions. We prove the sufficient consequence for arbitrary sequerces of arbitrary of random variables and the necessary consequence for sequences of pairwise NQD random variables with different disributions.