Research Information System
CMA 2001 Characterizations, Modelling and Applications 2001, Antalya, Turkey, 7 - 09 December 2001, no.1343789, pp.52-53, (Summary Text)
In survival analysis, the exponential and Weibull distributions are the most frequently used parametric models. The importance of the exponential distribution emerges from its lack of memory property and having a constant hazard rate function. The Weibull distribution contains the exponential distribution and constitutes a more general model for the survival analysis since it does not assume a constant hazard rate.
In [Marshall & Olkin, 1997; A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families, Biometrika, 84 (3): 641-652], a new method is given, which uses the geometric distribution for adding a new parameter to the family of exponential and Weibull distributions. A bivariate version is also considered in the same study. In this study, the Poisson distribution is used to add a new parameter to the family of exponential and Weibull distributions, and some results on survival distributions of the new extended distributions are given.