Multivariate conditional hazard rates and the MIFRA and MIFR properties

Multivariate conditional hazard rates and the MIFRA and MIFR properties
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多变量条件危险率以及 MIFRA 和 MIFR 属性

DOI:
10.2307/3214242
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发表时间:
1988
影响因子:
1
通讯作者:
J. Shanthikumar
J. Shanthikumar
中科院分区:
数学4区
文献类型:
--
作者:
M. Shaked;J. Shanthikumar

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如果T = (t1,···,Tn)是一个随机寿命向量,那么它的分布可以由一组λ的多变量条件风险率决定。本文找到了λ上T为Block-Savits MIFRA(多元递增故障率平均值)或Savits MIFR(多元递增故障率平均值)的充分条件。给出了Ross多变量可靠性模型和负荷分担模型的应用。讨论了多元不完全修复的Shaked和Shanthikumar模型与MIFRA性质的关系。
If T = (T 1, · ··, Tn ) is a vector of random lifetimes then its distribution can be determined by a set λof multivariate conditional hazard rates. In this paper, sufficient conditions on λare found which imply that T is Block–Savits MIFRA (multivariate increasing failure rate average) or Savits MIFR (multivariate increasing failure rate). Applications for a multivariate reliability model of Ross and for load-sharing models are given. The relationship between Shaked and Shanthikumar model of multivariate imperfect repair and the MIFRA property is also discussed.
DOI: --
发表时间: 1972
期刊: --
影响因子: --
作者:
D. Cox
通讯作者: D. Cox