Odd power generalized Weibull-G family of distributions‎: ‎Model‎, properties and applications

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JSMTA-2-1_008

تاریخ نمایه سازی: 19 اردیبهشت 1401

Abstract:

‎A new generalized family of distributions called the odd power generalized Weibull-G family of distributions is developed‎. Some ‎properties of the new family of distributions including quantile function‎, ‎moments‎, ‎incomplete and probability weighted moments‎, ‎distribution of the order statistics and Renyi entropy are derived‎. ‎Estimation of model parameters using maximum likelihood estimation technique and simulation study to examine the bias and mean square error are discussed‎. ‎Applications to real data sets to illustrate the applicability of the generalized family of distributions is also given‎.

Keywords:

‎Maximum likelihood estimation , Power generalized Weibull distribution

Authors

Thatayaone Moakofi

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

Broderick Oluyede

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

Fastel Chipepa

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

Boikanyo Makubate

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