A Generalization of Binomial Exponential-2 Distribution: Copula, Properties and Applications

In this paper, we propose a new three-parameter lifetime distribution for modeling symmetric real-life data sets. A simple-type Copula-based construction is presented to derive many bivariate- and multivariate-type distributions. The failure rate function of the new model can be “monotonically asymm...

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Bibliographic Details
Published in:Symmetry (Basel) 2020-08, Vol.12 (8), p.1338
Main Authors: Alotaibi, Naif, Malyk, Igor V.
Format: Article
Language:English
Subjects:
Asymmetry
binomial exponential-2 distribution
Bivariate analysis
Failure rates
Mathematical models
maximum likelihood estimation
moments
Morgenstern family
Parameter estimation
Random variables
Symmetry
type-II half-logistic
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Summary:In this paper, we propose a new three-parameter lifetime distribution for modeling symmetric real-life data sets. A simple-type Copula-based construction is presented to derive many bivariate- and multivariate-type distributions. The failure rate function of the new model can be “monotonically asymmetric increasing”, “increasing-constant”, “monotonically asymmetric decreasing” and “upside-down-constant” shaped. We investigate some of mathematical symmetric/asymmetric properties such as the ordinary moments, moment generating function, conditional moment, residual life and reversed residual functions. Bonferroni and Lorenz curves and mean deviations are discussed. The maximum likelihood method is used to estimate the model parameters. Finally, we illustrate the importance of the new model by the study of real data applications to show the flexibility and potentiality of the new model. The kernel density estimation and box plots are used for exploring the symmetry of the used data.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12081338