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

نویسندگان
Chipepa, Fastel ID 1
Makubate, Boikanyo ID 2
Moakofi, Thatayaone ID 3
Oluyede, Broderick ID 4

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

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

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

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

doi
10.22034/jsmta.2021.2333
چکیده

‎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.

کلیدواژه‌ها
‎Maximum likelihood estimation, Power generalized Weibull distribution