A new power generalized Weibull-G family of distributions‎: ‎Properties and applications

‎A new family of continuous distributions namely‎ ‎new power generalized Weibull-G family of distributions is proposed‎. ‎Some special sub-models of the new family are provided‎. ‎Some statistical properties of the new family of distributions are obtained including the quantile function‎, ‎ordinary and incomplete moments‎, ‎probability weighted moments‎, ‎distribution of the order statistics and Renyi entropy‎. ‎The maximum likelihood method is used for estimating model parameters‎. ‎A simulation study is employed to check the consistency of the maximum likelihood estimates‎. ‎The flexibility of a sub-model of the generated family is illustrated by means of two applications to real data sets.

Keywords:

‎Generalized distribution , ‎Maximum likelihood estimation , Power generalized Weibull distribution