General frailty model and stochastic orderings |
| |
Authors: | Ramesh C Gupta Rameshwar D Gupta |
| |
Institution: | 1. Department of Mathematics and Statistics, University of Maine, Orono, ME 04469-5752, USA;2. University of New Brunswick, Saint John, New Brunswick, Canada E2L 4L5 |
| |
Abstract: | In this paper, we propose a general frailty model and develop its properties including some results for stochastic comparisons. More specifically, our main results lie in seeing how the well known stochastic orderings between distributions of two frailties translate into the orderings between the corresponding survival functions. These results are used to obtain the properties of the classical multiplicative frailty model and the additive frailty model. Several of the results, in the literature, are obtained as special cases. |
| |
Keywords: | Multiplicative frailty model Additive frailty model Stochastic comparisons Failure rate Mean residual life function Survival function |
本文献已被 ScienceDirect 等数据库收录! |
|