@article{VMUMM_2020_4_a8,
author = {A. A. Muromskaya},
title = {Ruin probability in models with stochastic premiums},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {57--61},
year = {2020},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a8/}
}
A. A. Muromskaya. Ruin probability in models with stochastic premiums. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2020), pp. 57-61. http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a8/
[1] Lundberg F., Approximations of the probability function. Reinsurance of collective risks, Doctoral thesis, Uppsala, 1903
[2] Cramer H., On the mathematical theory of risk, Skandia Jubilee Volume, Stockholm, 1930 | MR | Zbl
[3] Cramer H., Collective risk theory, Skandia Jubilee Volume, Stockholm, 1955 | MR
[4] Kalashnikov V. V., Konstantinidis D. G., “Veroyatnost razoreniya”, Fund. i prikl. matem., 2:4 (1996), 1055–1100 | MR | Zbl
[5] Azcue P., Muler N., “Optimal reinsurance and dividend distribution policies in the Cramer–Lundberg model”, Math. Finance, 15:2 (2005), 261–308 | DOI | MR | Zbl
[6] Gerber H. U., Shiu E. S.W., Smith N., “Methods for estimating the optimal dividend barrier and the probability of ruin”, Insurance: Math. Econom., 42:1 (2008), 243–254 | DOI | MR | Zbl
[7] Boikov A. V., “Model Kramera–Lundberga so stokhasticheskimi premiyami”, Teor. veroyatn. i ee primen., 47:3 (2002), 549–553 | Zbl
[8] Zinchenko N., Andrusiv A., “Risk process with stochastic premiums”, Theory Stochast. Process., 14:3–4 (2008), 189–208 | MR | Zbl
[9] Labbé C., Sendova K. P., “The expected discounted penalty function under a risk model with stochastic income”, Appl. Math. and Comput., 215:5 (2009), 1852–1867 | MR | Zbl
[10] Dong H., Liu Z. M., Zhao X. H., “Risk process with barrier and random income”, Appl. Math. E-Notes, 10 (2010), 191–198 | MR | Zbl
[11] Ragulina O., “The risk model with stochastic premiums, dependence and a threshold dividend strategy”, Mod. Stochast.: Theory Appl., 4:4 (2017), 315–351 | DOI | MR | Zbl
[12] Belkina T. A., Konyukhova N. B., Kurochkin S. V., “Singular boundary value problem for the integrodifferential equation in an insurance model with stochastic premiums: analysis and numerical solution”, Comput. Math. and Math. Phys., 52:10 (2012), 1384–1416 | DOI | MR | Zbl
[13] Schmidli H., Lecture notes on risk theory, Institute of Mathematics, University of Cologne, Cologne, 2000 | MR