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Multivariate Lifetime Distributions

  • Arjun K. Gupta
  • Wei-Bin Zeng
  • Yanhong Wu
Chapter

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsBowling Green State UniversityBowling GreenUSA
  2. 2.Department of MathematicsUniversity of LouisvilleLouisvilleUSA
  3. 3.Department of MathematicsCalifornia State University StanislausTurlockUSA

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