Pathway Extension of Weibull-Gamma Model

Abstract

In this paper we develop a new family of Weibull-gamma model which is obtained by compounding a q-Weibull density with a two parameter gamma density. This class can be considered as a natural extension of the Weibull gamma model which accommodates various other useful statistical models. Properties of the proposed model are discussed, including the derivation of its density function. The method of moments is used for estimating the model parameters. The practical importance of the new model is illustrated using cancer survival data.

Keywords

• Meijer G-function; Mellin transform; H-function; compound models; Weibull distribution.