Nonparametric Estimation of the Average Availability |
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| Authors: | N Balakrishna Angel Mathew |
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| Institution: | 1. Department of Statistics , Cochin University of Science and Technology , Cochin, India nb@cusat.ac.in;3. Department of Statistics , Cochin University of Science and Technology , Cochin, India |
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| Abstract: | The average availability of a repairable system is the expected proportion of time that the system is operating in the interval 0, t]. The present article discusses the nonparametric estimation of the average availability when (i) the data on ‘n’ complete cycles of system operation are available, (ii) the data are subject to right censorship, and (iii) the process is observed upto a specified time ‘T’. In each case, a nonparametric confidence interval for the average availability is also constructed. Simulations are conducted to assess the performance of the estimators. |
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| Keywords: | Censored data Empirical distribution function Nonparametric confidence interval Product limit estimator Renewal function |
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