A new power generalized Weibull-G family of distributions: Properties and applications
نویسندگان
1 Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana
2 Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana
3 Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana
4 Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana
doi
10.22034/jsmta.2020.1961چکیده
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.
