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Uniformly minimum variance unbiased estimates of operational readiness and reliability in a two‐state system

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  • M. Mazumdar

Abstract

This paper obtains the uniformly minimum variance unbiased estimates of two indices of performance of a system which alternates between two states “up” or “down” in accordance with a Markov process. The two indices are (1) operational readiness, which measures the probability that the system will be up when needed; and (2) operational reliability, which measures the probability that the system will be up during the entire time of need. For the purpose of obtaining these estimates, two types of observations are considered: (a) those which reveal only the state of system at isolated time‐points, and (b) those which continuously record the duration of the “up” and “down” times of the system.

Suggested Citation

  • M. Mazumdar, 1969. "Uniformly minimum variance unbiased estimates of operational readiness and reliability in a two‐state system," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 16(2), pages 199-206, June.
    • Handle: RePEc:wly:navlog:v:16:y:1969:i:2:p:199-206
    DOI: 10.1002/nav.3800160204
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