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
Kayid, M., & Elbatal, I. (2004). Generalized Proportional Reversed Hazards Model. The Egyptian Statistical Journal, 48(2), 130-140. doi: 10.21608/esju.2004.313769
MLA
M. Kayid; I. Elbatal. "Generalized Proportional Reversed Hazards Model", The Egyptian Statistical Journal, 48, 2, 2004, 130-140. doi: 10.21608/esju.2004.313769
HARVARD
Kayid, M., Elbatal, I. (2004). 'Generalized Proportional Reversed Hazards Model', The Egyptian Statistical Journal, 48(2), pp. 130-140. doi: 10.21608/esju.2004.313769
VANCOUVER
Kayid, M., Elbatal, I. Generalized Proportional Reversed Hazards Model. The Egyptian Statistical Journal, 2004; 48(2): 130-140. doi: 10.21608/esju.2004.313769