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Original Articles

Gambler’s Ruin: The Duration of Play

Pages 251-271 | Received 01 Sep 2013, Accepted 01 Jan 2014, Published online: 28 Jul 2014

REFERENCES

  • Gut, A. Stopped Random Walks, 2nd ed.; Springer: New York, 2009.
  • Hald, A. A History of Probability and Statistics and Their Applications before 1750; John Wiley & Sons: Hoboken, NJ, 2003.
  • Feller, W. An Introduction to Probability Theory and its Applications; Vol. I; John Wiley & Sons: New York, 1968.
  • Ethier, S.N. The Doctrine of Chances: Probabilistic Aspects of Gambling, Springer-Verlag: Berlin, 2010.
  • Lawler, G.F.; Limic, V. Random Walk: A Modern Introduction; Cambridge University Press: Cambridge, 2010.
  • Brown, M.; Peköz, E.A.; Ross, S.M. Some results for skip-free random walk. Probab. Eng. Inform. Sci. 2010, 24, 491–507.
  • Katriel, G. Gambler’s ruin probability—A general formula. Stat. Probab. Lett. 2013, 83, 2205–2210.
  • Adan, I.J.B.F.; van Leeuwardeen, J.S.H.; Winands, E.M.M. On the application of Rouché’s theorem in queueing theory. Operations Res. Lett. 2006, 34, 355–360.
  • Biedenharn, L.C.; Louck, J.D. On the structure of the canonical tensor operators in the unitary groups, II. The tensor operators in U(3) characterized by maximal null space. J. Math. Phys. 1972, 13, 19852001.
  • Gustafson, R.A.; Milne, S.C. Schur functions, Good’s identity, and hypergeometric series well poised in SU(n). Advances Math. 1983, 48, 177–188.

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