Betting Systems Which Minimize the Probability of Ruin

Previous article Next article Betting Systems Which Minimize the Probability of RuinThomas S. FergusonThomas S. Fergusonhttps://doi.org/10.1137/0113051PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Richard Bellman, Adaptive control processes: A guided tour, Princeton University Press, Princeton, N.J., 1961xvi+255 MR0134403 0103.12901 CrossrefGoogle Scholar[2] L. Breiman, Optimal gambling systems for favorable gamesProc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. I, Univ. California Press, Berkeley, Calif., 1961, 65–78 MR0135630 0109.36803 Google Scholar[3] Lester E. Dubins and , Leonard J. Savage, How to gamble if you must. Inequalities for stochastic processes, McGraw-Hill Book Co., New York, 1965xiv+249 MR0236983 0133.41402 Google Scholar[4] J. L. Kelly, Jr., A new interpretation of information rate, Bell. System Tech. J., 35 (1956), 917–926 MR0090494 CrossrefISIGoogle Scholar[5] E. O. Thorp, Beat the Dealer, Blaisdell, New York, 1962 Google Scholar[6] A. J. Truelove, RAND paper in preparation Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Optimal Gambling Systems Under Discounting and DisbursementBarry Alan Pasternack12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 29, No. 4AbstractPDF (981 KB) Volume 13, Issue 3| 1965Journal of the Society for Industrial and Applied Mathematics History Submitted:13 October 1964Published online:13 July 2006 InformationCopyright © 1965 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0113051Article page range:pp. 795-818ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics