Proportional reversed hazard rate model and its applications

Proportional reversed hazard rate model and its applications
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DOI:
10.1016/j.jspi.2007.03.029
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发表时间:
2007-11-01
影响因子:
0.9
通讯作者:
Gupta, Rameshwar D.
Gupta, Rameshwar D.
中科院分区:
数学3区
文献类型:
--
作者:
Gupta, Ramesh C.;Gupta, Rameshwar D.

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本文的目的是研究比例逆向风险率模型(PRHRM)的结构和性质,并与著名的比例风险模型(PHM)进行比较。研究了模型的风险率和反向风险率的单调性。提出了一些老化标准,并研究了PRHRM对(基数分布)老化概念的继承。给出了包含Fisher信息的模型的特征,并讨论了参数的统计推断。最后,证明了在实际数据分析中,比例反向风险率类的几个成员是有用的和灵活的。(C) 2007 Elsevier B.V.版权所有
The purpose of this paper is to study the structure and properties of the proportional reversed hazard rate model (PRHRM) in contrast to the celebrated proportional hazard model (PHM). The monotonicity of the hazard rate and the reversed hazard rate of the model is investigated. Some criteria of aging are presented and the inheritance of the aging notions (of the base distribution) by the PRHRM is studied. Characterizations of the model involving Fisher information are presented and the statistical inference of the parameters is discussed. Finally, it is shown that several members of the proportional reversed hazard rate class have been found to be useful and flexible in real data analysis. (C) 2007 Elsevier B.V. All rights reserved.