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 newly-proposed 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.
Rashid, A., Ahmad, Z., & Jan, T. R. (2018). A New Lifetime Distribution for Series System: Model, Properties and Application. Journal of Modern Applied Statistical Methods, 17(1), eP2535. doi: 10.22237/jmasm/1525133400