Explicit Expressions for Moments of the Duration of a 3-Player Gambler's Ruin
Shalosh B. Ekhad, Doron Zeilberger
TL;DR
This paper derives explicit formulas for the moments of the duration of a three-player gambler's ruin using experimental mathematics and symbolic computation.
Contribution
It introduces new explicit expressions for moments of gambler's ruin duration in a three-player setting, advancing analytical understanding.
Findings
Derived explicit formulas for moments of the ruin duration.
Utilized experimental mathematics and symbolic computation techniques.
Enhanced analytical tools for gambler's ruin problems.
Abstract
Using experimental mathematics and symbolic computation, we derive many moments for the duration of a three player (fair) gambler's ruin.
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Taxonomy
TopicsProbability and Statistical Research · Statistics Education and Methodologies · Sports Analytics and Performance