BURN-IN AND MIXED POPULATIONS

被引:48
作者
BLOCK, HW [1 ]
MI, J [1 ]
SAVITS, TH [1 ]
机构
[1] FLORIDA INT UNIV,DEPT STAT,MIAMI,FL 33199
关键词
BATHTUB FAILURE RATE; RR2; EXPONENTIAL FAMILY; COST FUNCTION;
D O I
10.2307/3214775
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
Burn-in is a procedure used for eliminating weak components in a mixed population. In this paper we focus on general mixed populations. Three types of results are established. First, it is shown that any mixed population displays a type of monotonicity property which is appropriate for burn-in. Second, it is shown that if, asymptotically, components have constant failure rates, then the mixed population will also asymptotically have a constant failure rate and this will correspond to the rate of the strongest subpopulation of the mixture. Finally, it is shown for a reasonable cost function, that if one mixture distribution dominates another in a strong sense, the resulting mixture of the dominant distribution will have larger optimal burn-in time. AMS SUBJECT CLASSIFICATION: PRIMARY 60 N05 SECONDARY 60 K10
引用
收藏
页码:692 / 702
页数:11
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