Generalized Proportional Reversed Hazards Model | ||
| The Egyptian Statistical Journal | ||
| Article 3, Volume 48, Issue 2, December 2004, Pages 130-140 PDF (4.77 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2004.313769 | ||
| Authors | ||
| M. Kayid* 1; I. Elbatal* 2 | ||
| 1Faculty of Education, Sues Canal University, Egypt | ||
| 2Mathematical Statistics Department, Institute of Statistical Studies & Research, Cairo University | ||
| 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 | ||
| Keywords | ||
| Generalized Proportional Reversed Hazards Model; Monotonic Failure Rates; Generalized Aging Classes; Generalized Stochastic Orders | ||
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