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- Title
A New Lifetime Parametric Model for the Survival and Relief Times with Copulas and Properties.
- Authors
Shehata, Wahid A. M.; Butt, Nadeem S.; Yousof, Haitham M.; Aboraya, Mohamed
- 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.
- Subjects
RELIEF models; SURVIVAL analysis (Biometry); PARAMETRIC modeling; DISTRIBUTION (Probability theory); MAXIMUM likelihood statistics
- Publication
Pakistan Journal of Statistics & Operation Research, 2022, Vol 18, Issue 1, p249
- ISSN
1816-2711
- Publication type
Article
- DOI
10.18187/pjsor.v18i1.3930