NA列的随机足标和与首达时的完全收敛性  

On Complete Convergence of Randomly Indexed PartialSums and First Passage Times of NA Sequences

作　　者：张春泳[1] 梁琼[1] 

机构地区：[1]湛江师范学院数学系

出　　处：《工程数学学报》1998年第3期85-90,共6页Chinese Journal of Engineering Mathematics

基　　金：广东省高教厅自然科学基金

摘　　要：通过讨论ＮＡ列非随机足标和的完全收敛性的一系列等价条件，本文得到了ＮＡ列随机足标和的完全收敛性结果，并借以讨论“首达时”的完全收敛性。将Ｇｕｔ（１９８３）的结果从ｉｄ列的场合推广到更广泛的同分布ＮＡ列的场合。AbstractThis paper has obtained a series of results about complete convergence of randomly indexed partial sums of NA sequences through equivalent conditions of complete convergence of nonrandomly indexed partial sums of NA sequences; and the results has been discussed complete convergence of “first passage times”. This paper has extended about iid sequences to the case of identicaly distributed NA sequences.

关 键 词：NA列 完全收敛性 随机足标 同分布 等价条件 推广 

分 类 号：O211[理学—概率论与数理统计] O213.2[理学—数学]