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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 396, Pages 155–171
(Mi znsl4657)
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This article is cited in 1 scientific paper (total in 1 paper)
Application of Sedyakin's model and Birnbaum–Saunders family for statistical analysis of redundant systems with one warm stand-by unit
M. S. Nikulin, R. Tahir University of Bordeaux, IMB, UMR CNRS 5251, France
Abstract:
The purpose of this paper is to determine the improved system reliability by introducing the redundancy of the components. This paper considers one warm stand-by unit with one main unit. We study the reliability of such systems using the probability models in terms of the Sedyakin's Model. Parametric family of Birnbaum–Saunders distributions is considered as the distribution of failure times of both main and stand-by units. Parametric point and interval estimation is obtained from censored data.
Key words and phrases:
redundancy, cold, hot and warm stand-by units, Sedyakin model, accelerated life testing, AFT model, maximum likelihood, Birnbaum–Saunders distribution, censored failure times, confidence interval.
Received: 29.08.2011
Citation:
M. S. Nikulin, R. Tahir, “Application of Sedyakin's model and Birnbaum–Saunders family for statistical analysis of redundant systems with one warm stand-by unit”, Probability and statistics. Part 17, Zap. Nauchn. Sem. POMI, 396, POMI, St. Petersburg, 2011, 155–171; J. Math. Sci. (N. Y.), 188:6 (2013), 724–734
Linking options:
https://www.mathnet.ru/eng/znsl4657 https://www.mathnet.ru/eng/znsl/v396/p155
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Abstract page: | 224 | Full-text PDF : | 77 | References: | 54 |
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