The gamma odd power generalized Weibull-G family of distributions with applications

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

JR_JSMTA-2-2_006

تاریخ نمایه سازی: 4 تیر 1401

Abstract:

A new generalized distribution called the gamma odd power generalized Weibull-G family of distributions is developed and studied. Some special models of the new family of distribution are explored. Statistical properties of the new family of distributions including the quantile function, ordinary and incomplete moments, probability weighted moments, stochastic ordering, distribution of the order statistics, and Rényi entropy are presented. The maximum likelihood method is used for estimating model parameters, and Monte Carlo simulation is conducted to examine the performance of the model. The flexibility of the new family of distributions is demonstrated by means of two applications to real data sets.

Keywords:

Generalized distribution , Maximum likelihood estimation , Power generalized Weibull distribution

Authors

Morongwa Gabanakgosi

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

Thatayaone Moakofi

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

Broderick Oluyede

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

Boikanyo Makubate

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