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

Document Type : Original Scientific Paper

Authors

Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana

Abstract

‎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.

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History

  • Receive Date: 15 June 2020
  • Revise Date: 16 November 2020
  • Accept Date: 20 November 2020

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