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Bulletin of the Korean Mathematical Society
Article . 2003 . Peer-reviewed
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A NOTE ON THE SEVERITY OF RUIN IN THE RENEWAL MODEL WITH CLAIMS OF DOMINATED VARIATION

A note on the severity of ruin in the renewal model with claims of dominated variation
Authors: Tang, Qihe;

A NOTE ON THE SEVERITY OF RUIN IN THE RENEWAL MODEL WITH CLAIMS OF DOMINATED VARIATION

Abstract

Summary: This paper investigates the tail asymptotic behavior of the severity of ruin (the deficit at ruin) in the renewal model. Under the assumption that the tail probability of the claim size is dominatedly varying a uniform asymptotic formula for the tail probability of the deficit at ruin is obtained.

Keywords

Applications of statistics to actuarial sciences and financial mathematics, Applications of renewal theory (reliability, demand theory, etc.), asymptotics, Statistics of extreme values; tail inference, Risk theory, insurance, tail probability, renewal risk model, ruin probability, ladder height, heavy tails

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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!
6
Average
Average
Average
gold