On the Integrated Tail of the Deficit in the Renewal Risk Model

Verfasser / Beitragende:
[Georgios Psarrakos]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/2(2015-06-01), 497-513
Format:
Artikel (online)
ID: 605520038
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024 7 0 |a 10.1007/s11009-013-9381-4  |2 doi 
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100 1 |a Psarrakos  |D Georgios  |u Department of Statistics and Insurance Science, University of Piraeus, 80 Karaoli and Demetriou Street, Piraeus, Greece  |4 aut 
245 1 0 |a On the Integrated Tail of the Deficit in the Renewal Risk Model  |h [Elektronische Daten]  |c [Georgios Psarrakos] 
520 3 |a Let G(x, y) be the distribution of the deficit at the time of ruin in the renewal risk model. In this paper, we derive a geometric convolution representation for a function related to the integrated tail of the deficit. This integrated tail is a generalization of the stop loss-premium of the ruin probability, and the proposed convolution is a generalization of the equilibrium distribution of a compound geometric distribution (probability of non-ruin). 
540 |a Springer Science+Business Media New York, 2013 
690 7 |a Compound geometric distribution  |2 nationallicence 
690 7 |a Defective renewal equation  |2 nationallicence 
690 7 |a NWU (NBU)  |2 nationallicence 
690 7 |a NWUC (NBUC)  |2 nationallicence 
690 7 |a NWUE (NBUE)  |2 nationallicence 
690 7 |a Ladder height  |2 nationallicence 
690 7 |a Ruin probability  |2 nationallicence 
690 7 |a Stop loss premium  |2 nationallicence 
690 7 |a Deficit at ruin  |2 nationallicence 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/2(2015-06-01), 497-513  |x 1387-5841  |q 17:2<497  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-013-9381-4  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s11009-013-9381-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Psarrakos  |D Georgios  |u Department of Statistics and Insurance Science, University of Piraeus, 80 Karaoli and Demetriou Street, Piraeus, Greece  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/2(2015-06-01), 497-513  |x 1387-5841  |q 17:2<497  |1 2015  |2 17  |o 11009