Generalized Proportional Reversed Hazards Model | ||||
| The Egyptian Statistical Journal | ||||
| Article 3, Volume 48, Issue 2, December 2004, Page 130-140 PDF (4.77 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.2004.313769 | ||||
 View on SCiNiTO | ||||
| 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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