Approximations to ultimate ruin probabilities with a Wienner process perturbation
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- Grandell, Jan, 2000. "Simple approximations of ruin probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 26(2-3), pages 157-173, May.
- Thorin, Olof, 1974. "Some Comments on the Sparre Andersen Model in the Risk Theory," ASTIN Bulletin, Cambridge University Press, vol. 8(1), pages 104-125, September.
- Dufresne, François & Gerber, Hans U., 1989. "Three Methods to Calculate the Probability of Ruin," ASTIN Bulletin, Cambridge University Press, vol. 19(1), pages 71-90, April.
- Dufresne, Francois & Gerber, Hans U., 1991. "Risk theory for the compound Poisson process that is perturbed by diffusion," Insurance: Mathematics and Economics, Elsevier, vol. 10(1), pages 51-59, March.
- Krzysztof Burnecki & Marek Teuerle, 2010. "Ruin Probability in Finite Time," HSC Research Reports HSC/10/04, Hugo Steinhaus Center, Wroclaw University of Science and Technology.
- SIMAR, Leopold, 1976. "Maximum likelihood estimation of a compound Poisson process," LIDAM Reprints CORE 271, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Renata G. Alcoforado & Agnieszka I. Bergel & Rui M. R. Cardoso & Alfredo D. Egídio dos Reis & Eugenio V. Rodríguez-Martínez, 2022. "Ruin and Dividend Measures in the Renewal Dual Risk Model," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 537-569, June.
- Panjer, Harry H., 1981. "Recursive Evaluation of a Family of Compound Distributions," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 22-26, June.
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