Advanced search
Publication Cover
Journal of the American Statistical Association Volume 68, 1973 - Issue 344
Submit an article Journal homepage
19
Views
22
CrossRef citations to date
0
Altmetric
Application

Nonrandom Shuffling with Applications to the Game of Faro

Edward O. Thorp Department of Mathematics, University of California at Irvine, Irvine, Calif., 92664, USA
Pages 842-847 | Received 01 Aug 1971, Published online: 05 Apr 2012

References

  • Collver , Donald I. 1966 . Scientific Blackjack and Complete Casino Guide , New York : ARCO Publishing Company .
  • De Moivre , Abraham . 1967 . The Doctrine of Chances, , 3rd ed. , New York : Chelsea .
  • Epstein , Richard A. July 1964 . “Card Prediction for a Shuffled Deck” , July , Hughes Aircraft Company . Report TP-64–19–11, UP-68
  • Epstein , Richard A. 1967 . The Theory of Gambling and Statistical Logic , New York : Academic Press, Inc. .
  • Epstein , Richard A. Private correspondence
  • Euler , L. 1766 . “Sur l'Advantage du Banquier au Jeu de Pharaon” . Histoire de L'Academie Royale des Sciences et Belles-Letters , volume for 1764, publication date
  • Feller , William . 1968 . An Introduction to Probability Theory and Its Applications, , 3rd ed. , Volume 1 , New York : John Wiley and Sons, Inc. .
  • Foster , R. F. 1963 . Foster's Complete Hoyle–An Encyclopedia of Games , New York : J.B. Lippincott Co. . (or later) edition
  • Frey , Richard L. 1956 . Rules of Games–According to Hoyle , New York : Fawcett Publications .
  • Kolmogorov , A. N. 1963 . “On Tables of Random Numbers” . Sankhyā, The Indian Journal of Mathematics , 15 : 369 – 76 . Ser. A
  • Knuth , Donald . 1969 . The Art of Computer Programming Volume Two, Semi-Numerical Algorithms , Reading , Massachusetts : Addison-Wesley Publishing Co., Inc. .
  • Montmort , Pierre Remond de . 1713 . Essai d'Analyse sur les Jeux de Hazards , Paris : J. Quillan, 1708, or 2nd ed. .
  • Riddle , A. Major . 1963 . The Weekend Gambler's Handbook , New York : Random House .
  • Roth , K. F. 1954 . “On Irregularities of Distribution” . Mathematika , 1 ( 2 ) December : 73 – 9 . Part 2
  • Scarne , John . 1961 . Scarne's Complete Guide to Gambling , New York : Simon and Schuster .
  • Thorp , Edward . 1969 . “Optimal Gambling Systems for Favorable Games” . Review of the International Statistical Institute , 37 ( 3 ) : 273 – 93 .
  • Thorp , Edward and Walden , William . “The Solution of Games by Computer” Unpublished manuscript
  • Thorp , Edward and Whitley , Robert . 1971 . “Poincaré's Conjecture and the Distribution of Digits in Tables” . Compositio Mathematica , 23 ( 2 ) : 233 – 50 .
  • Todhunter , I. 1949 . A History of the Mathematical Theory of Probability, , 1st ed. , New York : Chelsea . 1965
  • Wilson , Allan N. 1965 . The Casino Gambler's Guide , New York : Harper and Row .
  • Wilson , Allan N. Private correspondence

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.