Variance of the game duration in the gambler’s ruin problem

Jiří Anděl and Šárka Hudecová

Statistics & Probability Letters, 2012, vol. 82, issue 9, 1750-1754

Abstract: 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.

Keywords: Ruin problem; Gambler’s ruin; Three-tower problem (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:82:y:2012:i:9:p:1750-1754

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DOI: 10.1016/j.spl.2012.05.023

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