Proportional reversed hazard rate model and its applications

被引：177
|
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
收藏
页码：3525 / 3536
页数：12
相关论文
共 50 条
  • [31] A class of bivariate models with proportional reversed hazard marginals
    Kundu, Debasis
    Gupta, Rameshwar D.
    SANKHYA-SERIES B-APPLIED AND INTERDISCIPLINARY STATISTICS, 2010, 72 (02): : 236 - 253
  • [32] Gamma shared frailty model based on reversed hazard rate
    Hanagal, David D.
    Pandey, Arvind
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (07) : 2071 - 2088
  • [33] A class of bivariate models with proportional reversed hazard marginals
    Debasis Kundu
    Rameshwar D. Gupta
    Sankhya B, 2010, 72 (2) : 236 - 253
  • [34] Prediction Based on Type-II Censored Coherent System Lifetime Data under a Proportional Reversed Hazard Rate Model
    Fallah, Adeleh
    Asgharzadeh, Akbar
    Ng, Hon Keung Tony
    JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY, 2021, 20 (01): : 153 - 181
  • [35] On proportional reversed failure rate class
    Oliveira, Paulo E.
    Torrado, Nuria
    STATISTICAL PAPERS, 2015, 56 (04) : 999 - 1013
  • [36] On proportional reversed failure rate class
    Paulo E. Oliveira
    Nuria Torrado
    Statistical Papers, 2015, 56 : 999 - 1013
  • [37] Orderings of extremes dependent modified proportional hazard and modified proportional reversed hazard variables under Archimedean copula
    Barmalzan, Ghobad
    Balakrishnan, Narayanaswamy
    Ayat, Seyed Masih
    Akrami, Abbas
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (22) : 5358 - 5379
  • [38] THE IDENTIFIABILITY OF THE PROPORTIONAL HAZARD MODEL
    HECKMAN, J
    SINGER, B
    REVIEW OF ECONOMIC STUDIES, 1984, 51 (02): : 231 - 241
  • [39] Testing behavior of the reversed hazard rate
    Kayid, M.
    Al-nahawati, H.
    Ahmad, I. A.
    APPLIED MATHEMATICAL MODELLING, 2011, 35 (05) : 2508 - 2515
  • [40] Some results on reversed hazard rate
    Chandra, NK
    Roy, D
    PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2001, 15 (01) : 95 - 102
12345