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publication name A New Generalized Family of Distributions for Lifetime Data
Authors Maha A. D. Aldahlan Mohamed G. Khalil Ahmed Z. Afify
year 2019
keywords Burr X Distribution, Generating Function, Maximum Likelihood, Order Statistic, Rényi Entropy.
journal Journal of Modern Applied Statistical Methods
volume Not Available
issue Not Available
pages Not Available
publisher Not Available
Local/International International
Paper Link Not Available
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Abstract

We introduce a new class of continuous distributions called the generalized Burr X-G family. Some special models of the new family are provided. Some of its mathematical properties including explicit expressions for the quantile and generating functions, ordinary and incomplete moments, order statistics and Rényi entropy are derived. The maximum likelihood is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.

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