A New Family Of Distributions: Exponential Power-X Family Of Distributions And Its Some Properties
Abstract
In this study, it has been aimed to introduce a new family called as Exponential Power-X family of distributions by using the method suggested by Alzaatreh et al. (2013). Exponential Power Weibull (EP-W) distribution as a special sub model of this new family is discussed and its some statistical properties has been obtained. Moreover, the maximum likelihood estimators (MLEs) for unknown parameters of EP-W distribution have been derived and a simulation study based on MSEs and bias of this estimator for various sample sizes has been performed. Finally, an application with real data set has been presented..
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