Recurrence times and the expected number of renewal epochs over a finite interval

DOI10.1080/02331888.2023.2172172OpenAlexW4319033621MaRDI QIDQ5880779

Sotirios Losidis

Publication date: 6 March 2023

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2023.2172172

zbMATH Keywords

renewal processnumber of renewalsforward recurrence timebackward recurrence time

Mathematics Subject Classification ID

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

Related Items (1)

Refinement bounds for the expected number of renewal epochs over a finite interval

Cites Work

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• Bounds, inequalities, and monotonicity properties for some specialized renewal processes
• The moments of forward recurrence time
• Further monotonicity properties for specialized renewal processes
• Exact results and bounds for the joint tail and moments of the recurrence times in a renewal process
• Moments of the forward recurrence time in a renewal process
• A two-sided bound for the renewal function when the interarrival distribution is IMRL
• SOME NEW BOUNDS FOR THE RENEWAL FUNCTION
• The use of multiple integrals in the study of the backward and forward recurrence times for the ordinary renewal process
• Some results on block replacement policies and renewal theory
• The correlation of the backward and forward recurrence times in a renewal process
• On Excess Over the Boundary
• Linear Bounds on the Renewal Function

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