A New Lifetime Parametric Model for the Survival and Relief Times with Copulas and Properties | [Pakistan Journal of Statistics and Operation Research • 2022]

Author(s):

1. Wahid A. M. Shehata: Department of Mathematics, Statistics and Insurance, Faculty of Business, Ain Shams University,,Egypt

2. Nadeem S. Butt: Department of Family and Community Medicine, Faculty of Medicine Rabigh, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia,

3. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University,Benha 13518,Egypt

4. Mohamed Aboraya: Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University, Damietta, Egypt.

Abstract:

In this article, we introduce a new generalization of the Exponentiated Exponential distribution. Various structural mathematical properties are derived. Numerical analysis for mean, variance, skewness and kurtosis and the dispersion index are performed. The new density can be right skewed and symmetric with "unimodal" and "bimodal" shapes. The new hazard function can be "constant", "monotonically decreasing", " monotonically increasing", "increasing-constant”, “upside-down-constant", "decreasing-constant". Many bivariate and multivariate type model have been also derived. We assess the performance of the maximum likelihood method graphically via the biases and mean squared errors. The applicability of the new life distribution is illustrated by means of two real data sets.

Page(s): 249-272

DOI: 10.18187/pjsor.v18i1.3930

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 18, Issue: 1, Year: 2022

Keywords:

Clayton Copula , Hazard function , Morgenstern Family , Exponentiated Exponential , Real Data Modeling

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