Proportional reversed hazard rate model and its applications
- 作者：Ramesh C. Gupta ; Rameshwar D. Gupta
- 关键词：Monotonicity ; Aging properties ; Order relations ; Characterizations ; Fisher information
- 刊名：Journal of Statistical Planning and Inference
- 出版年：2007
- 期刊代码：36_03783758
- 类别：mt
- 出版时间：1 November 2007
- 卷：137
- 期：11
- 页码：3525-3536
- 文件大小：196 K
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.