一类具有随机足标的最大值的极限分布  

The limiting distributions on a type of maxima with random indexes

作　　者：谢盛荣[1] 

机构地区：[1]西南师范大学数学系,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2000年第4期373-377,共5页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：设 {ξi}是一列随机变量 ,Mn =∨ni=1 ξi.{Nn}是一列非负整值随机变量 .在假定 {Mn}与某固定分布函数的幂序列关联和 {Mn}与某随机变量相依地关联着某个极值过程的情况下 ,分别讨论了 {Mn}的极限分布 ,得到充分必要的条件 .Let {ξ i } be a sequcnce of random variables and M n=Vni=1ξ i . {N n} be a sequence of nonnegative integer valued random variables. Suppose that the distributions of {M\-n} are in connexion with powers of some fixed distribution, or {M n} is dependent on some random variable in connexion with some extreme process. The limiting distrihutions of {M\-\{Nn\}} are discussed. And the necessary and sufficiency conditons are obtained.

关 键 词：随机足标 最大值 随机变量 极限分布 分布函数 

分 类 号：O211.4[理学—概率论与数理统计]