摘要：The Weibull distribution is the most important distribution forproblems in reliability. We study some mathematical properties of the newwider Weibull-G family of distributions. Some special models in the newfamily are discussed. The properties derived hold to any distribution in thisfamily. We obtain general explicit expressions for the quantile function, or-dinary and incomplete moments, generating function and order statistics.We discuss the estimation of the model parameters by maximum likelihoodand illustrate the potentiality of the extended family with two applicationsto real data.
关键词：Generalized distribution; lifetime; maximum likelihood estima-;tion; order statistic; Weibull distribution.
