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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-constantâ€, “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.

Keywords

Exponentiated Exponential Morgenstern family Clayton Copula Real Data Modeling Hazard Function

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How to Cite
Shehata, W. A. M., Butt, N. S., Yousof, H., & Aboraya, M. (2022). A New Lifetime Parametric Model for the Survival and Relief Times with Copulas and Properties. Pakistan Journal of Statistics and Operation Research, 18(1), 249-272. https://doi.org/10.18187/pjsor.v18i1.3930
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