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313769

Generalized Proportional Reversed Hazards Model

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Last updated: 05 Jan 2025

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Abstract

Inthis paper, we propose to generalized proportional reversed hazards model by Tsx*,t=[Ts,(X, t)]a, where Tsx*,tis baseline distribution func- tion and a is a positive real number. The monotonicity of the baseline failure rates in relation to the monotonicity of the baseline hazard are studied in a general way. A set of sufficient conditions are provided for X* to be s_IFR [s-DFR] when X is s_IFR (s_DFR). We also prove similar preservation results for the s_NBU [s-NWU] aging properties. Finally, some generalized stochastic comparisons are given  

DOI

10.21608/esju.2004.313769

Keywords

Generalized Proportional Reversed Hazards Model, Monotonic Failure Rates, Generalized Aging Classes, Generalized Stochastic Orders

Volume

48

Article Issue

2

Related Issue

42997

Issue Date

2004-12-01

Publish Date

2004-12-01

Page Start

130

Page End

140

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313769.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313769

Order

3

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Generalized Proportional Reversed Hazards Model

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Article

Created At

28 Dec 2024