Recent Results in the Analysis of Redundant Systems

Mikhail Nikulin (), Noureddine Saaidia () and Ramzan Tahir ()
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Mikhail Nikulin: IMB, Université Victor Segalen
Noureddine Saaidia: IMB, Université Victor Segalen
Ramzan Tahir: IMB, Université Victor Segalen

Chapter Chapter 13 in Recent Advances in System Reliability, 2012, pp 181-193 from Springer

Abstract: Abstract In Reliability, the distributions with unimodal or the so-called $$ \cap $$ -shape hazard functions are used quiet often. Mostly people use log-normal, log-logistic and inverse Gaussian distributions. In this paper, we consider also an application of the inverse Gaussian, log-normal and log-logistic distribution in the reliability analysis of redundant system with one main unit and $$ m - 1 $$ stand-by units. Properties of the point estimators and confidence intervals are studied.

Keywords: Inverse Gaussian distribution; Log-normal distribution; Log-logistic distribution; Reliability; Sedyakin’s model; Redundant system; Accelerated failure time model; Confidence interval; Failure times; Maximum likelihood estimation; Warm stand-by unit (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-1-4471-2207-4_13

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DOI: 10.1007/978-1-4471-2207-4_13

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