RECORD VALUES AND THE EXPONENTIAL-DISTRIBUTION

被引:10
作者
DALLAS, AC
机构
关键词
D O I
10.2307/3213070
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Let X//i, X//2, . . . be i. i. d. and Y//k equals max left brace X//1, X//2, . . . , X//k right brace . Then X//j is a record value of the sequence if Y//j greater than Y//j// minus //i. Denoting record value times by L//n, n equals 1, 2, . . . , it is proved that the independence of X//L//j - X//L//j and X//L//i and X//t//i with L//j greater than equivalent to L//i characterizes the exponential distribution.
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页码:949 / 951
页数:3
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