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http://dx.doi.org/10.4134/BKMS.2003.40.4.663

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

Tang, Qihe (Department of Quantitative Economics, University of Amsterdam)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.4, 2003 , pp. 663-669 More about this Journal
Abstract
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 claimsize is dominatedly varying, a uniform asymptotic formula for the tail probability of the deficit at ruin is obtained.
Keywords
asymptotics; heavy tails; ladder height; renewal risk model; the ruin probability; the tail probability;
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  • Reference
1 Approximations for moments of deficit at ruin with exponential and subexponential claims /
[ Y.B.Cheng;Q.H.Tang;H.L.Yang ] / Statist. Probab. Lett.   DOI   ScienceOn
2 Exact and approximate properties of the distribution of surplus before and after ruin /
[ G.E.Willmot;X.S.Lin ] / Insurance Math. Econom.   DOI   ScienceOn
3 A property of longtailed distributions /
[ P.Embrechts;E.Omey ] / J. Appl. Probab.   DOI   ScienceOn
4 On some measures of the severity of ruin in the classical Poisson model /
[ P.Picard ] / Insurance Math. Econom.   DOI   ScienceOn
5 Estimates for the probability of ruin with special emphasis on the possibility of large claims /
[ P.Embrechts;N.Veraverbeke ] / Insurance Math. Econom.   DOI   ScienceOn
6 /
[ P.Embrechts;C.kluppelberg;T.Mikosch ] / Modelling Extremal Events for Insurance and Finance
7 On the probability and severity of ruin /
[ H.U.Gerber;M.J.Goovaerts;R.Kaas ] / Astin Bull.   DOI
8 /
[ S.Asmussen ] / Ruin probabilities
9 /
[ T.Rolski;H.Schmidli;V.Schmidt;J.Teugels ] / Stochastic Processes for Insurance and Finance
10 Extremal values of risk processes for insurance and finance:with special emphasis on the possibility of large claims /
[ Q.H.Tang ] / Doctoral Thesis, University of Science and Technology of China
11 Two-sided bounds of ruin probabilities /
[ V.V.Kalashnikov ] / Scand. Actuar. J.
12 Asymptotic behaviour of Wiener-Hopf factors of a random walk /
[ N.Veraverbeke ] / Stochastic Processes Appl.   DOI   ScienceOn
13 On the distribution of the surplus prior to and to ruin /
[ H.Schmidli ] / Austin Bull.   DOI