Geodesic
On the probability of ruin of a joint-stock insurance company in the Sparre Andersen risk model
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2018) no. 3, pp. 179-189 
A. A. Muromskaya. On the probability of ruin of a joint-stock insurance company in the Sparre Andersen risk model. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2018) no. 3, pp. 179-189. http://geodesic.mathdoc.fr/item/FPM_2018_22_3_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An upper bound for the ruin probability of a joint-stock insurance company is obtained, provided that the intervals between the claim times have a gamma distribution and the insurance company uses a linear barrier dividend strategy.

[1] Kalashnikov V. V., Konstantinidis D. G., “Veroyatnost razoreniya”, Fundament. i prikl. matem., 2:4 (1996), 1055–1100 | MR | Zbl

[2] Muromskaya A. A., “Obobschenie neravenstva Lundberga dlya sluchaya aktsionernoi strakhovoi kompanii”, Vestn. Mosk. un-ta. Ser. 1. Matematika, mekhanika, 2017, no. 1, 32–36 | MR | Zbl

[3] Albrecher H., Hartinger J., Thonhauser S., “On exact solutions for dividend strategies of threshold and linear barrier type in a Sparre Andersen model”, ASTIN Bull., 37:2 (2007), 203–233 | DOI | MR | Zbl

[4] Avanzi B., “Strategies for dividend distribution: a review”, North Am. Actuarial J., 13:2 (2009), 217–251 | DOI | MR

[5] Schmidli H., Lecture Notes on Risk Theory, Inst. of Mathematics, Univ. of Cologne, Cologne, 2000 | MR