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Applications of quadrivariate exponential distribution to a three-unit warm standby system with dependent structure

Author

Listed:
  • V. S. S. Yadavalli
  • V. S. Vaidyanathan
  • P. Chandrasekhar
  • S. Abbas

Abstract

Two-unit warm standby systems have been elaborately dealt within the literature. However, the study of standby systems with more than two units, though very relevant in state-of-the-art practical situations, has received little attention because of mathematical intricacies involved in analyzing them. Also, such systems have been studied assuming: (i) the lifetime or repair time of the units to be exponential, or (ii) the lifetime and repair time to be independent. The present contribution is an improvement in the state-of-the-art in the sense that three-unit warm standby system with dependent structure is shown to be capable of comprehensive analysis.

Suggested Citation

  • V. S. S. Yadavalli & V. S. Vaidyanathan & P. Chandrasekhar & S. Abbas, 2017. "Applications of quadrivariate exponential distribution to a three-unit warm standby system with dependent structure," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(14), pages 6782-6790, July.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:14:p:6782-6790
    DOI: 10.1080/03610926.2015.1134576
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