Unit Burr-III distribution with application

Abstract

In this paper we introduce a new Unit Burr-III probability distribution with support interval (0,1). The proposed distribution possesses a flexible density function and bathtub shape hazard rate function. We derive the expressions for its mathematical and statistical properties. Probability distribution function of order statistics and expression for pth moment for derived distribution is also obtained. We calculate parameter estimates by using the technique of maximum likelihood estimation. We apply it on two real datasets and found that it provides better fit than other well known distributions.