摘要：In this paper, we introduce a new four-parameter distribution called the transmuted Weibull power function (TWPF) distribution which extends the transmuted family proposed by Shaw and Buckley [1]. The hazard rate function of the TWPF distribution can be constant, increasing, decreasing, unimodal, upside down bathtub shaped or bathtub shape. Some mathematical properties are derived including quantile functions, expansion of density function, moments, moment generating function, residual life function, reversed residual life function, mean deviation, inequality measures. The estimation of the model parameters is carried out using the maximum likelihood method. The importance and flexibility of the proposed model are proved empirically using real data sets.
关键词：Weibull distribution; transmuted family; maximum likelihood; moments; order statistics; entropy.
