De Vylder, F.; Marceau, E. Classical numerical ruin probabilities. (English) Zbl 0880.62108 Scand. Actuarial J. 1996, No. 2, 109-123 (1996). Summary: Finite and infinite-time classical ruin probabilities can be approximated in H. U. Gerber’s [Insur. Math. Econ. 7, No. 1, 15-23 (1988; Zbl 0657.62121)] elementary binomial risk model. In order to obtain good results, rather fine discretizations may be necessary and then the computing times may be much too long. Here we show how rather rough discretizations provide approximations of excellent quality when a new claimsize distribution (with one negative probability mass!!!) is adopted and when a new security loading is introduced. Cited in 16 Documents MSC: 62P05 Applications of statistics to actuarial sciences and financial mathematics 60K05 Renewal theory 91B30 Risk theory, insurance (MSC2010) Keywords:classical risk model; renewal equation; adjustment coefficient; asymptotic formula Citations:Zbl 0657.62121 PDFBibTeX XMLCite \textit{F. De Vylder} and \textit{E. Marceau}, Scand. Actuarial J. 1996, No. 2, 109--123 (1996; Zbl 0880.62108) Full Text: DOI References: [1] De Vylder F., IME 7 pp 1– (1988) [2] Feller W., An Introduction to Probability Theory and Its Applications (1966) · Zbl 0138.10207 [3] Gerber H., IME 7 pp 15– (1988) [4] Wikstad N., Astin Bulletin 6 pp 147– (1971) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.