系数的模为两两NQD序列的随机幂级数的增长性  

THE GROWTH OF RANDOM POWER SERIES WHOSE COEFFICIENTS' NORMS ARE PAIRWISE NQD SEQUENCES

作　　者：李春丽[1] 王波[2] 

机构地区：[1]武汉科技大学理学院,湖北武汉430081 [2]浙江工商大学统计与计算科学学院,浙江杭州310012

出　　处：《数学杂志》2005年第6期701-705,共5页Journal of Mathematics

摘　　要：本文研究了系数的模为两两NQD序列的B-值随机幂级数的增长性.利用两两NQD列推广的Borel-Cantelli引理及其它极限定理,在给定条件下得出其增长级和非随机幂级数的增长级有类似的性质.In this paper, we study the growth of random power series whose coefficients＇ norms are pairwise NQD sequences. Under the given conditions, we obtain some corresponding results with the common power series on the order of growth by extended Borel-Cantelli lemma and other limit theorems on pairwise NOD seouences.

关 键 词：两两NQD序列 随机幂级数 增长性 

分 类 号：O211.4[理学—概率论与数理统计]