Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1150606 | Journal of Statistical Planning and Inference | 2007 | 8 Pages |
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
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Albert W. Marshall, Ingram Olkin,