A new lifetime distribution for series system: Model, properties and application

Abstract

A new lifetime distribution for modeling system lifetime in series setting is proposed that embodies most of the compound lifetime distribution. The reliability analysis of parent and of sub-models has also been discussed. Various mathematical properties that include moment generating function, moments, and order statistics have been obtained. The newlyproposed distribution has a flexible density function; more importantly its hazard rate function can take up different shapes such as bathtub, upside down bathtub, increasing, and decreasing shapes. The unknown parameters of the proposed generalized family have been estimated through MLE technique. The strength and usefulness of the proposed family was tested on a real life data set and it is quite clear from the statistical analysis that proposed family offers a better fit.

A Generalized Log Gamma Approach: Theoretical Contributions and an Application to Companies’ Life Expectancy

“…Based on the theoretical developments proposed by the authors, four data sets with various shapes are fitted using members of the T-gamma family of distributions. Also, an interesting methodological approach is proposed using probability distributions [33]. In this study, a new lifetime distribution is proposed to model the lifetime of the series system, which incorporates most of the composite lifetime distribution.…”