摘要：In this article, we introduce an extension referred to as the exponentiated Weibull power function distribution based on the exponentiated Weibull-G family of distributions. The proposed model serves as an extension of the two-parameter power function distribution as well as a generalization to the Weibull power function presented by Tahir et al. (2016 a). Various mathematical properties ofthe subject distribution are studied. General explicit expressions for the quantile function, expansion of density and distribution functions, moments, generatingfunction, incomplete moments, conditional moments, residual life function, meandeviation, inequality measures, Rényi and q – entropies, probability weightedmoments and order statistics are obtained. The estimation of the model parameters is discussed using maximum likelihood method. Finally, the practical importance of the proposed distribution is examined through three real data sets. It has been concluded that the new distribution works better than other competing models.
关键词：Exponentiated Weibull-G family; Power function distribution;Moments; Order statistics; Maximum likelihood estimation.
