Staff Members - Benha University
A New Generalized Family of Distributions for Lifetime Data
Journal of Modern Applied Statistical Methods • 2019
Publication Information
Authors
Maha A. D. Aldahlan
Mohamed G. Khalil
Ahmed Z. Afify
Keywords
Burr X Distribution, Generating Function, Maximum Likelihood, Order Statistic, Rényi
Entropy.
Journal
Journal of Modern Applied Statistical Methods
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
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.
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.