The moments of forward recurrence time

DOI10.1016/0377-2217(82)90070-4zbMath0474.60072OpenAlexW2045829532MaRDI QIDQ1158889

Rodney Coleman

Publication date: 1982

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(82)90070-4

zbMATH Keywords

asymptotic formulaecovariance between the forward recurrence time and the number of renewals

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)

Related Items (8)

Recurrence times and the expected number of renewal epochs over a finite interval ⋮ Covariance between the forward recurrence time and the number of renewals ⋮ Refinement bounds for the expected number of renewal epochs over a finite interval ⋮ Moments of the forward recurrence time in a renewal process ⋮ The covariance of the backward and forward recurrence times in a renewal process: the stationary case and asymptotics for the ordinary case ⋮ Undershoot and order quantity probability distributions in periodic review, reorder point, order-up-to-level inventory systems with continuous demand ⋮ Exact results and bounds for the joint tail and moments of the recurrence times in a renewal process ⋮ The moments of the forward recurrence times of an alternating renewal process

Cites Work

• Applications of renewal theory in analysis of the free-replacement warranty
• Numerical treatment of convolution integrals involving distributions with densities having singularities at the origin
• Some remarks on numerical convolution
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