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

سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 119

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شناسه ملی سند علمی:

JR_JSMTA-1-2_012

تاریخ نمایه سازی: 19 اردیبهشت 1401

چکیده مقاله:

‎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.

کلیدواژه ها:

‎Generalized distribution ، ‎Maximum likelihood estimation ، Power generalized Weibull distribution

نویسندگان

Broderick Oluyede

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

Thatayaone ‎Moakofi

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

Fastel ‎Chipepa

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

Boikanyo ‎Makubate

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