Application of the truncated skew Laplace probability distribution in maintenance system

Abstract

A random variable X is said to have the skew-Laplace probability distribution if its pdf is given by f (x) = 2g(x)G(λx), where g (.) and G (.), respectively, denote the pdf and the cdf of the Laplace distribution. When the skew Laplace distribution is truncated on the left at 0 it is called it the truncated skew Laplace (TSL) distribution. This article provides a comparison of TSL distribution with twoparameter gamma model and the hypoexponential model, and an application of the subject model in maintenance system is studied. © 2009 JMASM, Inc.