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Dr. Mohammed Gouda Khalil Hindawy :: Publications: |
Title: | 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 |
Full paper | Not Available |
Supplementary materials | Not Available |
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. |