Transmuted Generalized Linear Exponential Distribution

Abstract

The linear exponential distribution is a very well-known distribution for modeling lifetime data in reliability and medical studies.We introduce in this paper a new four-parameter generalized version of the transmuted generalized linear exponential distribution.We provide a comprehensive account of the mathematical properties of the new distributions.In particular, A closed-form expressions for the density, cumulative distribution ,quantile and median of the distribution is given.Also, the r th order moment and moment generating function are derived.The maximum likelihood estimation of the unknown parameters is discussed.Real data are used to determine whether the TGLED is better than other well-known distributions in modeling lifetime data or not.