Abstract
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.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Cited by
3 articles.
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1. On preventive maintenance of k-out-of-n systems subject to fatal shocks;Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability;2023-01-12
2. Recent Developments About Marshall–Olkin Bivariate Distribution;Journal of Statistical Theory and Practice;2022-08-22
3. A review on recent generalizations of exponential distribution;Biometrics & Biostatistics International Journal;2020-08-31