Characterizations of distributions through coincidences of semiparametric families |
| |
Authors: | Albert W Marshall Ingram Olkin |
| |
Institution: | 1. University of British Columbia, BC, Canada;2. Stanford University, CA, USA |
| |
Abstract: | Semiparametric families are families that have both a real parameter and a parameter that is itself a distribution. A number of semiparametric families suitable for lifetime data are introduced: scale, power, frailty (proportional hazards), age, moment, Laplace transform, and convolution parameter families. The coincidence of two families provides a characterization of the underlying distribution. Characterizations of the Weibull, gamma, lognormal, and Gompertz distributions are obtained. |
| |
Keywords: | Primary 62E10 secondary 60E05 |
本文献已被 ScienceDirect 等数据库收录! |
|