Some results on renewal equations

DOI10.1080/03610928908829959zbMath0696.62354OpenAlexW2011887145MaRDI QIDQ3474146

Min Xie

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/03610928908829959

zbMATH Keywords

convergence propertiesrenewal functionreliability analysisrenewal boundsrenewal-type integral equations

Mathematics Subject Classification ID

Inference from stochastic processes (62M99) Reliability and life testing (62N05) Renewal theory (60K05)

Related Items (7)

Some new bounds for the mean value function of the residual lifetime process ⋮ Some bounds for the renewal function and the variance of the renewal process ⋮ 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 ⋮ On the Recurrent Solution of Renewal-Type Integral Equations ⋮ Some Analytical and Numerical Bounds on the Renewal Function ⋮ Rare events in queueing systems -- A survey

Cites Work

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• Bounds, inequalities, and monotonicity properties for some specialized renewal processes
• Tight bounds for the renewal function of a random walk
• Further monotonicity properties for specialized renewal processes
• Solution of the volterra equation of renewal theory with the galerkin technique using cubic splines
• On the Tabulation of the Renewal Function
• A Comparison of the Bad as Old and Superimposed Renewal Models
• Linear Bounds on the Renewal Function

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