A NEW GENERALIZATION OF BURR XII DISTRIBUTION

In this paper, we propose a new model, so-called the beta exponentiated Burr XII distribution, which contains as special sub-models some well-known and new distributions, such as the beta Burr XII, beta exponentiated log-logistic, beta exponentiated Lomax, beta log-logistic, beta Lomax, exponentiated Burr XII, exponentiated log-logistic, exponentiated Lomax, Burr XII, log-logistic, and Lomax, among several others. Various structural properties of the new distribution are derived, including explicit expressions for the moments, incomplete moments, mean deviations, quantile function, and Renyi entropy. The method of maximum likelihood is proposed for estimating the model parameters. We obtain the observed information matrix. Two real data sets illustrate the importance and flexibility of the proposed model.

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