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A note on ruin problems in perturbed classical risk models

Authors: Liu Peng; Zhang Chunsheng; Ji Lanpeng;

A note on ruin problems in perturbed classical risk models

Abstract

In this short note, we derive explicit formulas for the joint densities of the time to ruin and the number of claims until ruin in perturbed classical risk models, by constructing several auxiliary random processes.

9

Country
United Kingdom
Keywords

Applications of renewal theory (reliability, demand theory, etc.), martingale, Probability (math.PR), number of claims until ruin, The Lundberg fundamental equation, Time to ruin, perturbed classical risk model, the Lundberg fundamental equation, Perturbed classical risk model, Martingale, Number of claims until ruin, Risk models (general), FOS: Mathematics, Joint density, time to ruin, Mathematics - Probability, joint density

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
Green
hybrid