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- Title
BIVARIATE MARSHALL–OLKIN EXPONENTIAL SHOCK MODEL.
- Authors
Mohtashami-Borzadaran, H.A.; Jabbari, H.; Amini, M.
- Abstract
The well-known Marshall–Olkin model is known for its extension of exponential distribution preserving lack of memory property. Based on shock models, a new generalization of the bivariate Marshall–Olkin exponential distribution is given. The proposed model allows wider range tail dependence which is appealing in modeling risky events. Moreover, a stochastic comparison according to this shock model and also some properties, such as association measures, tail dependence and Kendall distribution, are presented. The new shock model is analytically quite tractable, and it can be used quite effectively, to analyze discrete–continuous data. This has been shown on real data. Finally, we propose the multivariate extension of the Marshall–Olkin model that has some intersection with the well-known multivariate Archimax copulas.
- Subjects
KENDALL (Fla.); DISTRIBUTION (Probability theory); GENERALIZATION
- Publication
Probability in the Engineering & Informational Sciences, 2021, Vol 35, Issue 3, p745
- ISSN
0269-9648
- Publication type
Article
- DOI
10.1017/S0269964820000194