The failure rate dynamics in heterogeneous populations

被引:24
作者
Cha, Ji Hwan [1 ]
Finkelstein, Maxim [2 ]
机构
[1] Ewha Womans Univ, Dept Stat, Seoul 120750, South Korea
[2] Univ Free State, Dept Math Stat, ZA-9300 Bloemfontein, South Africa
基金
新加坡国家研究基金会;
关键词
Heterogeneous population; Stochastically ordered subpopulations; Quality measures; Variance; Coefficient of variation; BURN-IN; MIXTURES; SHOCKS; MODELS;
D O I
10.1016/j.ress.2012.11.012
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Most populations encountered in real world are heterogeneous. In reliability applications, the mixture (observed) failure rate, obviously, can be considered as a measure of 'average' quality in these populations. However, in addition to this average measure, some variability characteristics for failure rates can be very helpful in describing the time-dependent changes in quality of heterogeneous populations. In this paper, we discuss variance and the coefficient of variation of the corresponding random failure rate as variability measures for items in heterogeneous populations. Furthermore, there is often a risk that items of poor quality are selected for important missions. Therefore, along with the 'average quality' of a population, more 'conservative' quality measures should be also defined and studied. For this purpose, we propose the percentile and the tail-mixture of the failure rates as the corresponding conservative measures. Some illustrative examples are given. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:120 / 128
页数:9
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