Some Analytical and Numerical Bounds on the Renewal Function

DOI10.1080/03610920600728443zbMath1107.60054OpenAlexW2134057305MaRDI QIDQ3424199

Lirong Cui, Lun Ran, Min Xie

Publication date: 15 February 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920600728443

zbMATH Keywords

stochastic processesrenewal processreliability analysisrecursive equation

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Renewal theory (60K05)

Related Items (7)

Moments-Based Approximation to the Renewal Function ⋮ Some bounds for the renewal function and the variance of the renewal process ⋮ Warranty cost analysis for nonrepairable services products ⋮ Bounds for the renewal function and related quantities ⋮ Sequences of improved two-sided bounds for the renewal function and the solutions of renewal-type equations ⋮ Two-dimensional Renewal Function Approximation ⋮ Approximation of the Bivariate Renewal Function

Cites Work

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• On the solution of renewal-type integral equations
• On a Simple Numerical Method for Computing Stieltjes Integrals in Reliability Theory
• Some results on renewal equations
• An approximate solution of the integral equation of renewal theory
• On the Tabulation of the Renewal Function
• Some Normal Approximations for Renewal Function of Large Weibull Shape Parameter
• Linear Bounds on the Renewal Function

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