, Volume 50, Issue 3, pp 372–382

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


    • Department of StatisticsLoyola College
  • V. S. Vaidyanathan
    • Department of StatisticsPondicherry University
  • V. S. S. Yadavalli
    • Department of Industrial and Systems EngineeringUniversity of Pretoria
  • S. Xavier
    • Department of StatisticsLoyola College
Theoretical Article

DOI: 10.1007/s12597-012-0113-2

Cite this article as:
Chandrasekhar, P., Vaidyanathan, V.S., Yadavalli, V.S.S. et al. OPSEARCH (2013) 50: 372. doi:10.1007/s12597-012-0113-2


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.


Steady state availabilityStandby systemMultivariate central limit theoremSlutsky theorem

Copyright information

© Operational Research Society of India 2012