Some Remarks on Delayed Renewal Risk Models

DOI10.2143/AST.40.1.2049225zbMath1230.91083OpenAlexW2021672805MaRDI QIDQ3569711

Jae-Kyung Woo

Publication date: 21 June 2010

Published in: ASTIN Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2143/ast.40.1.2049225

zbMATH Keywords

Gerber-Shiu functionlast interclaim timedelayed renewal risk modellast ladder heightCramér's asymptotic ruin formula

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Unnamed Item
• Surplus analysis for a class of Coxian interclaim time distributions with applications to mixed Erlang claim amounts
• Structural properties of Gerber-Shiu functions in dependent Sparre Andersen models
• A ruin model with dependence between claim sizes and claim intervals
• A note on a class of delayed renewal risk processes
• On the discounted penalty function in the renewal risk model with general interclaim times
• The surpluses immediately before and at ruin, and the amount of the claim causing ruin
• Aspects of risk theory
• The Gerber-Shiu discounted penalty function in the stationary renewal risk model.
• On the compound Poisson risk model with dependence based on a generalized Farlie-Gumbel-Morgenstern copula
• Dependent Risk Models with Bivariate Phase-Type Distributions
• On a general class of renewal risk process: analysis of the Gerber-Shiu function
• The Time Value of Ruin in a Sparre Andersen Model