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On the probability of ruin of risk processes approximated by a diffusion process. (English) Zbl 0427.62075


MSC:

62P05 Applications of statistics to actuarial sciences and financial mathematics
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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References:

[1] Davidson Å, Skand. Aktuar Tidskr pp 70– (1966)
[2] DOI: 10.1214/aoms/1177728918 · Zbl 0053.27301
[3] Emanuel D. C, Scand. Actuarial J 58 pp 240– (1975) · Zbl 0322.62101
[4] Grandell J, Scand. Actuarial J cmSuppl pp 37–
[5] DOI: 10.1016/0304-4149(77)90051-5 · Zbl 0361.60053
[6] DOI: 10.2307/3211999 · Zbl 0191.51202
[7] Segerdahl, C. O. 1959 cmThe Harald Cramer Volume.A survey of results in the collective theory of risk, 285–292. New York, Stockholm, USA: Wiley.
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