A generalized gamma distribution and its application in reliabilty

Abstract

A generalization of gamma distribution is defined by slightly modifying the form of Kobayashi's generalized gamma function (1991). Its possible application in reliability theory, to study displacement phenomenon of the corrosion problem in a new machine or metal fatigue, is discussed. A few well known probability distributions are shown to be its particular cases. Hazard function, mean, variance etc are worked out for generalized gamma distribution.