On generalized log Burr XII distribution

Abstract

In this paper, we present flexible generalized log Burr XII (GLBXII) distribution developed on the basis of generalized log Pearson differential equation. GLBXII distribution is also obtained from compounding mixture of distributions. Some structural and mathematical properties including moments, inequality measures, uncertainty measures and reliability measures are theoretically established. Characterizations of GLBXII distribution are also studied through different techniques. Parameters of GLBXII distribution are estimated using maximum likelihood method. Goodness of fit of probability distribution through different methods is studied.