Author(s):
1. Wahid A. M. Shehata:
Department of Mathematics, Statistics and Insurance, Faculty of Business, Ain Shams University, Egypt
2. Haitham M. Yousof:
Department of Statistics, Mathematics and Insurance, Benha University, Benha 13518, Egypt
3. Mohamed Aboraya:
Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University, Damietta, Egypt
Abstract:
This paper presents a novel two-parameter G family of distributions. Relevant statistical properties such as the ordinary moments, incomplete moments and moment generating function are derived. Using common copulas, some new bivariate type G families are derived. Special attention is devoted to the standard exponential base line model. The density of the new exponential extension can be “asymmetric and right skewed shape” with no peak, “asymmetric right skewed shape” with one peak, “symmetric shape” and “asymmetric left skewed shape” with one peak. The hazard rate of the new exponential distribution can be “increasing”, “U-shape”, “decreasing” and “Jshape”. The usefulness and flexibility of the new family is illustrated by means of two applications to real data sets. The new family is compared with many common G families in modeling relief times and survival times data sets.
Page(s):
943-961
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 4, Year: 2021
Keywords:
Compounding
,
Clayton Copula
,
Modeling
,
Lomax distribution
,
Poisson Family
,
FarlieGumbelMorgenstern
,
AliMikhailHaq copula
,
Generalized Weibull Family
References:
References are not available for this document.
Citations
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