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Multivariate Lifetime Distributions

In: Probability and Statistical Models

Author

Listed:
  • 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)

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.

Suggested Citation

  • Arjun K. Gupta & Wei-Bin Zeng & Yanhong Wu, 2010. "Multivariate Lifetime Distributions," Springer Books, in: Probability and Statistical Models, edition 0, chapter 0, pages 117-140, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4987-6_6
    DOI: 10.1007/978-0-8176-4987-6_6
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