A0695
Title: General proportional mean residual and past lifetime frailty models
Authors: Fatemeh Hooti - University of Naples Federico II (Italy) [presenting]
Jafar Ahmadi - Ferdowsi university of Mashhad (Iran)
Maria Longobardi - University of Naples Federico II (Italy)
Abstract: The mean residual lifetime and mean past lifetime functions for a lifetime random variable are important characteristics of the model in reliability theory and survival studies. Based on these two measures, proportional mean residual and mean past lifetime models were introduced as regression models. In this work, by considering a frailty variable, the proportional mean residual life frailty model and also, general mean past lifetime frailty models are introduced. Unconditional survival and density functions of lifetime variables based on the proposed frailty model are obtained. Some stochastic ordering properties are studied.
