Log-Gamma - Rayleigh Distribution: Properties and Applications

Abstract

In this paper, for the first time we defined and studied a new two parameter lifetime model byusing the T-X method, called the Log-Gamma Rayleigh distribution. This distribution can beconsidered as a new generalization of the Gamma distribution and the Rayleigh distribution. Weobtain some of its mathematical properties. Some structural properties of the new distributionare studied. Maximum likelihood estimation method is used for estimating the modelparameters. An application to real data set is given to show the flexibility and potentiality of thenew model.