The Transmuted Marshall-Olkin Fr'{e}chet Distribution: Properties and Applications

摘要

This paper introduces a new four-parameter lifetime model, which extends the?Marshall-Olkin Fr'{e}chet distribution introduced by Krishna et al. (2013),?called the transmuted Marshall-Olkin Fr'{e}chet distribution. Various?structural properties including ordinary and incomplete moments, quantile?and generating function, R'{e}nyi and q-entropies and order statistics arederived. The maximum likelihood method is used to estimate the model?parameters. We illustrate the superiority of the proposed distribution over?other existing distributions in the literature in modeling two real life?data sets.