Abstract
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.
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Navarro, J., Ruiz, J.M., Sandoval, C.J. (2006). Systems with Exchangeable Components and Gumbel Exponential Distribution. In: Balakrishnan, N., Sarabia, J.M., Castillo, E. (eds) Advances in Distribution Theory, Order Statistics, and Inference. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4487-3_19
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DOI: https://doi.org/10.1007/0-8176-4487-3_19
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4361-4
Online ISBN: 978-0-8176-4487-1
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