Journal of Statistics: Advances in Theory and ApplicationsAuthor's: M. E. Mead
Pages: [53] - [73]
Received Date: August 5, 2014; Revised September 30, 2014
Submitted by:
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 Rényi 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.
beta distribution, Burr XII distribution, maximum likelihood estimation.
