Proportional reversed hazard rate model and its applications

被引：172

作者：

Gupta, Ramesh C. ^{[1
]}

Gupta, Rameshwar D.

机构：

[1] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA

[2] Univ New Brunswick, Dept Comp Sci & Appl Stat, St John, NB E2L 4L5, Canada

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2007年 / 137卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

monotonicity; aging properties; order relations; characterizations; Fisher information;

D O I：

10.1016/j.jspi.2007.03.029

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：

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.

引用

页码：3525 / 3536

页数：12

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