Abstract

It is useful to derive new classes of distributions having a simple closed form instead of classes having no closed form to get better flexibility in deriving mathematical properties, generating random numbers and applying real data sets. In this paper, a new closed form class of generalized distributions, so-called the modified Libby-Novick (MLN) class, is derived from the implicit form of Libby-Novick beta class. Two important classes of distributions are nested by the MLN class. Some generalized mathematical properties are derived and the MLN class parameters estimation using maximum likelihood estimation (MLE) method is obtained. A simulation study using bootstrapping approach is applied to investigate the estimators behavior of the MLN-Weibull (MLN-W) distribution. A real data set is used to illustrate the potentiality of the MLN-W

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