Affiliation:
1. Department of Mathematics , Guangdong University of Petrochemical Technology , Maoming , 525000 , China
2. School of Mathematical Sciences , Hebei Normal University , 050024 , Shijiazhuang , P.R.China
Abstract
Abstract
In this paper, we introduced a new extension of the beta generator of distributions. Some important properties of the model are discussed, such as the series representation, quantile function, moments, Rényi entropy, and order statistics. Three special members are discussed, namely, the new extended beta exponential (NEBE), new extended beta uniform (NEBU), and new extended beta half logistic (NEBH). The model parameters estimation was achieved by the method of maximum likelihood and the Bayes estimation under square error loss function (SEL); the estimators were examined by simulation studies and it was a very good result as discussed by the bias and mean square error (MSE) of the estimators. Two real data applications are provided to illustrate the importance of the new model in practice.
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