A New Flexible Three-parameter Model: Properties, Clayton Copula, and Modeling Real Data

A New Flexible Three-parameter Model: Properties, Clayton Copula, and Modeling Real Data

In this article, we introduced a new extension of the binomial-exponential 2 distribution. We discussed some of its structural mathematical properties. A simple type Copula-based construction is also presented to construct the bivariate- and multivariate-type distributions. We estimated the model pa...

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Bibliographic Details
Main Authors: Abdulhakim A. Al-babtain, I. Elbatal, Haitham M. Yousof
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
marshall–olkin
binomial exponential-2
moments
clayton copula
morgenstern family
maximum likelihood estimation
Online Access:https://www.mdpi.com/2073-8994/12/3/440
Description
Summary:In this article, we introduced a new extension of the binomial-exponential 2 distribution. We discussed some of its structural mathematical properties. A simple type Copula-based construction is also presented to construct the bivariate- and multivariate-type distributions. We estimated the model parameters via the maximum likelihood method. Finally, we illustrated the importance of the new model by the study of two real data applications to show the flexibility and potentiality of the new model in modeling skewed and symmetric data sets.
ISSN:2073-8994

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