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Estimation of the survival function of a repairable standby series system

✍ Scribed by Z. Khalil; A. D. Dharmadhikari; B. H. Joshi


Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
399 KB
Volume
38
Category
Article
ISSN
0894-069X

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✦ Synopsis


This article deals with the statistical analysis of an N-component series system supported by an active standby and one repair facility. Assuming that the life and repair times of the components are independent exponential random variables, the probability distribution of the first passage to the system failure time is shown to be it convolution of two independent exponential distributions. Three observation schemes are considered to obtain the maximum likelihood estimates of the survival function. Information matrices are supplied. Numerical results based on Monte Carlo simulation are presented. It is noted that component level information (failure rate, repair rate) is not necessary for estimating the survival function of the system.


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