A new four-parameter extension of Burr-XII distribution: its properties and applications

A new four-parameter flexible extension of the Burr-XII distribution is proposed. A genesis for this distribution is presented. Some well-known distributions are shown as special and related cases. Linear expansions for survival and density functions, moment-generating function, ordinary moments, incomplete moments, quantile function, stochastic orderings and stress–strength reliability are investigated. The proposed distribution is compared with its submodels and some existing generalizations of Burr-XII for modeling five real-life data sets estimating parameters by maximum likelihood method. In all the examples, the proposed model is found to be the best one in terms of different goodness-of-fit tests as well as model selection criteria.