On the concavity of the infinitesimal renewal function

DOI10.1016/0167-7152(90)90070-NzbMath0728.60085MaRDI QIDQ805078

Ryszard Szekli

Publication date: 1990

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

shock modelsinfinitesimal renewal function

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Markov processes (60J99) Renewal theory (60K05)

Related Items (2)

A note on the convexity of ruin probabilities ⋮ Concave Renewal Functions do not Imply DFR Interrenewal Times

Cites Work

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• DFR property of first-passage times and its preservation under geometric compounding
• On log-concave and log-convex infinitely divisible sequences and densities
• Bounds, inequalities, and monotonicity properties for some specialized renewal processes
• Further monotonicity properties for specialized renewal processes
• Shock models and wear processes
• Stochastic convexity and its applications
• Poisson Counts for Random Sequences of Events

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