Discounted dividends in a strategy with a step barrier function
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 41-44 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A model of insurance company performance with dividends payment is studied. We investigate the dividend strategy according to which the level of the barrier can be changed after the receipt of claims. A function representing the value of expected discounted dividends paid until ruin is obtained.
@article{VMUMM_2016_5_a6,
     author = {A. A. Muromskaya},
     title = {Discounted dividends in a strategy with a step barrier function},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {41--44},
     year = {2016},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a6/}
}
TY  - JOUR
AU  - A. A. Muromskaya
TI  - Discounted dividends in a strategy with a step barrier function
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2016
SP  - 41
EP  - 44
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a6/
LA  - ru
ID  - VMUMM_2016_5_a6
ER  - 
%0 Journal Article
%A A. A. Muromskaya
%T Discounted dividends in a strategy with a step barrier function
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2016
%P 41-44
%N 5
%U http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a6/
%G ru
%F VMUMM_2016_5_a6
A. A. Muromskaya. Discounted dividends in a strategy with a step barrier function. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 41-44. http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a6/

[1] Gerber H.U., “Entscheidungskriterien f$\ddot{\mathrm{u}}$r den zusammengesetzten Poisson-Prozess”, Schweiz. Verein. Versicherungsmath. Mitt., 69 (1969), 185–228 | Zbl

[2] Gerber H.U., “A characteristic property of the Poisson distribution”, Amer. Statist., 33:2 (1979), 85–86 | MR

[3] Gerber H.U., Shiu E.S.W., Smith N., “Maximizing dividends without bankruptcy”, ASTIN Bull., 36:1 (2006), 5–23 | DOI | MR | Zbl

[4] B$\ddot{u}$hlmann H., Mathematical methods in risk theory, Springer-Verlag, Berlin–Heidelberg–N.Y., 1970 | MR

[5] Karapetyan N.V., “Optimizatsiya barera vyplaty dividendov pri gamma-raspredelenii trebovanii”, Vestn. Mosk. un-ta. Matem. Mekhan., 2009, no. 5, 57–60 | Zbl