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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 396, Pages 155–171 (Mi znsl4657)  
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
Full-text PDF (913 kB) Citations (1)
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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
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 188, Issue 6, Pages 724–734
DOI: https://doi.org/10.1007/s10958-013-1163-6
Bibliographic databases:
Document Type: Article
UDC: 519
Language: English
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
Citation in format AMSBIB
\Bibitem{NikTah11}
\by M.~S.~Nikulin, R.~Tahir
\paper Application of Sedyakin's model and Birnbaum--Saunders family for statistical analysis of redundant systems with one warm stand-by unit
\inbook Probability and statistics. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 396
\pages 155--171
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4657}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870138}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 188
\issue 6
\pages 724--734
\crossref{https://doi.org/10.1007/s10958-013-1163-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84880589231}
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  • https://www.mathnet.ru/eng/znsl/v396/p155
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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