Error bounds for exponential approximation of large-system reliability

DOI10.1007/S10958-006-0301-9zbMath1123.60068OpenAlexW2007763648MaRDI QIDQ876834

Jean-Louis Bon

Publication date: 19 April 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0301-9

zbMATH Keywords

geometric sumexponential approximationsystem lifetime

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)

Related Items (1)

New rates for exponential approximation and the theorems of Rényi and Yaglom

Cites Work

• Error bounds for exponential approximations of geometric convolutions
• Compound Poisson approximation for nonnegative random variables via Stein's method
• Bounds for geometric sums used for evaluation of reliability of regenerative models
• The hnbue and hnwue classes of life distributions
• Ageing properties of certain dependent geometric sums
• Approximation of Reliability for a large system with non-markovian repair-times
• Two-Sided Bounds for Ruin Probabilities when the Adjustment Coefficient does not Exist
• Simplified bounds on the tails of compound distributions
• Some estimates of geometric sums
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