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Rational roulette*

Published online by Cambridge University Press:  17 April 2009

F. Downton  and
James M. Hill
F. Downton
Affiliation:
Department of Statistics, University of Birmingham, Birmingham, England.
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Abstract

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Type
Australian Mathematical Society Applied Mathematics Conference
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 3 , December 1982 , pp. 399 - 420
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Anderson, L.R. and Fontenot, R.A., “On the gain ratio as a criterion for betting in casino games”, J. Roy. Statist. Soc. Ser. A 143 (1980), 33–40.CrossRefGoogle Scholar
[2]Davies, P. and Ross, A.S.C., “Repeated zero at roulette”, Math. Gaz. 63 (1979), 54–56.CrossRefGoogle Scholar
[3]Downton, F., “A note on betting strategies in compound games”, J. Roy. Statist. Soc. Ser. A 132 (1969), 543–547.CrossRefGoogle Scholar
[4]Downton, F., “Monotonicity and the gain ratio”, J. Roy. Statist. Soc. Ser. A 143 (1980), 41–42.CrossRefGoogle Scholar
[5]Downton, F., “A note on Labouchere sequences”, J. Roy. Statist. Soc. Ser. A 143 (1980), 363–366.CrossRefGoogle Scholar
[6]Downton, F. and Holder, R.L., “Banker's games and the Gaming Act 1968”, J. Roy. Statist. Soc. Ser. A 135 (1972), 336–364.CrossRefGoogle Scholar
[7]Epstein, Richard A., The theory of gambling and statistical logic, Revised Edition (Academic Press [Harcourt Brace Jovanovich], New York, San Francisco, London, 1977).Google Scholar
[8]Figgis, E.L., Gamblers handbook (Hamlyn, London, 1976).Google Scholar
[9]Joseph, A.W., “Minoru”, J. Inst. Actuar. 64 (1933), 172–180.CrossRefGoogle Scholar
[10]Kingston, C., The romance of Monte Carlo (John Lane, The Bodley Head Ltd, London, 1925).Google Scholar
[11]Leigh, N., Thirteen against the bank (Weidenfeld and Nicholson, London, 1976).Google Scholar
[12]O'Neil-Dunne, P., Roulette for the millions (Sidgwick and Jackson, London, 1971).Google Scholar
[13]Pearson, K., “Science and Monte Carlo”, Fortnightly Rev. 55 (1894), 183–193.Google Scholar
[14]Squire, N., How to win at roulette (Pelham, London, 1968).Google Scholar
[15]Thorold, A.L., The life of Henry Labouchere (Constable, London, 1913).Google Scholar
[16]Thorp, E.O., “Optimal gambling systems for favorable games”, Rev. Int. Statist. Inst. 37 (1969), 273–293.CrossRefGoogle Scholar
[17]Wilson, A.N., The casino gambler's guide (Harper and Row, New York, 1970).Google Scholar