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, Volume 50, Issue 3, pp 372–382 | Cite as

Statistical inference for a two unit warm standby system with dependent structure

  • P. Chandrasekhar
  • V. S. Vaidyanathan
  • V. S. S. Yadavalli
  • S. Xavier
Theoretical Article

Abstract

Assuming that the joint distribution of the lifetimes of online unit and standby unit and the repair time of a failed unit in a two unit warm standby system is trivariate exponential, measures of system performance such as system reliability, MTBF, point availability and steady state availability are obtained. see Marshall and Olkin (J Amer Statist Assoc 62:30–44, 1967). Further, a 100(1-α) % asymptotic confidence interval for steady state availability of the system and an estimator of system reliability based on moments are obtained. Numerical work is carried out to illustrate the behaviour of steady state availability as well as the system reliability based on moments by simulating samples from trivariate exponential distribution.

Keywords

Steady state availability Standby system Multivariate central limit theorem Slutsky theorem 

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Copyright information

© Operational Research Society of India 2012

Authors and Affiliations

  • P. Chandrasekhar
    • 1
  • V. S. Vaidyanathan
    • 2
  • V. S. S. Yadavalli
    • 3
  • S. Xavier
    • 1
  1. 1.Department of StatisticsLoyola CollegeChennaiIndia
  2. 2.Department of StatisticsPondicherry UniversityPuducherryIndia
  3. 3.Department of Industrial and Systems EngineeringUniversity of PretoriaPretoriaSouth Africa

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