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Original Articles

The Two-Dimensional Asymmetric Gambler's Ruin Problem with n Players and Simulations

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Pages 1895-1911 | Received 26 Apr 2011, Accepted 13 Sep 2011, Published online: 13 Jun 2012

References

  • Chang , D. K. ( 1995 ). A game with four players . Statistical Probability Letters 23 : 111 – 115 .
  • Cho , D. H. ( 1996 ). A game with n-players . Journal of the Korean Statistical Society 25 : 185 – 193 .
  • Feller , W. D. ( 1950 ). An Introduction to Probability Theory and Its Applications . New York : Wiley .
  • Hashemiparast , S. M. , Sabzevari , M. (2011). The asymmetric n-player Gambler's ruin problem with ties allowed and simulation. Journal of the Korean Statistical Society 40:267–276.
  • Issac , R. ( 1995 ). The Pleasures of Probability . New York : Springer-Verlag .
  • Kmet , A. , Petkovsek , M. ( 2002 ). Gambler's Ruin problem in several dimensions . Advances in Applied Mathematics 28 : 107 – 118 .
  • Orr , C. R. , Zeilberger , D. ( 1994 ). A computer algebra approach to the discrete Dirichlet problem . Journal of Symbolic Computing 18 : 87 – 90 .
  • Rocha , A. L. , Stern , F. ( 2004 ). The asymmetric n-player Gambler's ruin problem with equal initial fortunes . Advances in Applied Mathematics 33 : 512 – 530 .
  • Rocha , A. L. , Stern , F. ( 1999 ). The Gambler's ruin problem with n-players and asymmetric play . Statistical Probability Letters 44 : 87 – 95 .
  • Sandell , D. ( 1989 ). A game with three players . Statistical Probability Letters 7 : 61 – 63 .

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