The log-xgamma distribution with inference and application

Abstract

In this paper, we introduce a new one-parameter distribution, called log-xgamma distribution, defined on the unit interval. Some of the statistical properties of the proposed distribution including moments, the incomplete moments and mean residual life function are obtained. Some useful characterization results of proposed distribution are presented. The maximum likelihood method, method of moments and least square estimation method are used to estimate the unknown parameter of the proposed model and finite sample performance of estimation methods are evaluated by means of Monte-Carlo simulation study. An application to the real data set is given to demonstrate the usefulness of the proposed distribution against the beta, the Kumaraswamy and the Topp-Leone distributions.