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- W2912355614 abstract "In its simplest form, the Robin Hood game is described by the following urn scheme: every day the Sheriff of Nottingham puts s balls in an urn. Then Robin chooses r (r < s) balls to remove from the urn. Robin's goal is to remove balls in such a way that none of them are left in the urn indefinitely. Let Tn be the random time that is required for Robin to take out all s · n balls put in the urn during the first n days. Our main result is a limit theorem for Tn if Robin selects the balls uniformly at random. Namely, we show that the random variable Tn · n-s/r converges in law to a Fréchet distribution as n goes to infinity." @default.
- W2912355614 created "2019-02-21" @default.
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- W2912355614 date "2019-06-01" @default.
- W2912355614 modified "2023-09-26" @default.
- W2912355614 title "Limit theorem for the Robin Hood game" @default.
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- W2912355614 doi "https://doi.org/10.1016/j.spl.2019.01.001" @default.
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