RELIABILITY PROPERTIES OF RECORD VALUES FROM NONIDENTICALLY DISTRIBUTED RANDOM-VARIABLES

被引：19

作者：

KAMPS, U ^{[1
]}

机构：

[1] RHEIN WESTFAL TH AACHEN,INST STAT,D-52056 AACHEN,GERMANY

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1994年 / 23卷 / 07期

关键词：

ORDER STATISTICS; RECORD VALUES; NONIDENTICAL DISTRIBUTIONS; RELIABILITY THEORY; INCREASING FAILURE RATE; DECREASING FAILURE RATE;

D O I：

10.1080/03610929408831373

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：

in reliability theory, order statistics and record values are used for statistical modelling. The r-th order statistic in a sample of size n represents the life-length of a (n-r + 1)-out-of-n system, and record values are used in shock models. In recent years, reliability properties of order statistics and record values have been investigated. The two models are included in Pfeifer's concept of record values from non-identically distributed random variables. Here, some results on the transmission of distributional properties, such as increasing failure rate, are shown for such records, which contain the results for order statistics and ordinary record values as particular cases.

引用

页码：2101 / 2112

页数：12

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