Systems with Exchangeable Components and Gumbel Exponential Distribution
- 2.3k Downloads
The life lengths of some possibly dependent components in a system can be modelled by a multivariate distribution. In this paper, we suppose that the joint distribution of the units is a symmetric multivariate Gumbel exponential distribution (GED). Hence, the components are exchangeable and have exponential (marginal) distributions. For this model, we obtain basic reliability properties for k-out-of-n systems (order statistics) and, in particular, for series and parallel systems. We pay special attention to systems with two components. Some results are extended to coherent systems with n exchangeable components.
Keywords and phrasesReliability failure rate mean residual life k-out-of-n systems coherent systems order statistics
Unable to display preview. Download preview PDF.
- 8.Castillo, E., Sarabia, J. M., and Hadi, A. S. (1997). Fitting continuous bivariate distributions to data. The Statistician, 46, 355–369.Google Scholar
- 9.Cox, D. R., and Oakes, D. (1984). Analysis of Survival Data, Chapman and Hall, London.Google Scholar