Variance of the game duration in the gambler’s ruin problem
We derive the variance of the duration of play in the classical gambler’s ruin problem of two players with ties allowed. The variance of the game duration for the three-tower problem, one of the possible extensions of the game for the case of three players, is presented as well.
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Volume (Year): 82 (2012)
Issue (Month): 9 ()
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References listed on IDEAS
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- Rocha, Amy L. & Stern, Frederick, 1999. "The gambler's ruin problem with n players and asymmetric play," Statistics & Probability Letters, Elsevier, vol. 44(1), pages 87-95, August.
- Chang, Derek K., 1995. "A game with four players," Statistics & Probability Letters, Elsevier, vol. 23(2), pages 111-115, May.
- Bach, Eric, 1997. "Moments in the duration of play," Statistics & Probability Letters, Elsevier, vol. 36(1), pages 1-7, November.
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