Multivariate Lifetime Distributions

Arjun K. Gupta (), Wei-Bin Zeng () and Yanhong Wu ()
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Arjun K. Gupta: Bowling Green State University, Department of Mathematics and Statistics
Wei-Bin Zeng: University of Louisville, Department of Mathematics
Yanhong Wu: California State University Stanislaus, Department of Mathematics

Chapter Chapter 6 in Probability and Statistical Models, 2010, pp 117-140 from Springer

Abstract: Abstract In most reliability analysis, components of a system are assumed to have independent lifetime distributions. However, in many reliability situations, it is more realistic to assume some form of dependence among components. For instance, we may observe the phenomenon that one component’s survival would increase the chance of another component’s survival, which is termed “positive dependence” in reliability. This positive dependence among component life lengths arises from common environmental stress and shocks, from components depending on common sources of power, and so on. Multivariate lifetime distributions are used to describe life length of multicomponent systems, taking component dependence under consideration.

Keywords: Marginal Distribution; Bivariate Distribution; Lifetime Distribution; Memory Property; Positive Dependence (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4987-6_6

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