- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 6
- The transmuted Weibull-G family of distributions
The transmuted Weibull-G family of distributions
Authors : Morad Alizadeh, Mahdi Rasekhi, Haitham M. Yousof, G. G. Hamedani
Pages : 1671-1689
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Publication Date : 2018-12-12
Article Type : Research
Abstract :We introduce a new family of continuous distributions called the transmuted Weibull-G family of distributions which extends the transmuted class pioneered by Shaw and Buckley (2007). We study the mathematical properties of the new family. Some useful characterizations based on the ratio of two truncated moments as well as based on hazard function are presented. We estimate the model parameters by the maximum likelihood method. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study.Keywords : transmuted-G family, Weibull-G family, maximum likelihood, moments, order statistic, quantile function, moments of order statistics