On de Movire's solutions of the problem of duration of play 1708–1718 |
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Authors: | A Hald |
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Institution: | (1) Furesøvej 87 A, DK-2830 Virum, Denmark |
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Abstract: | Summary I attempt to solve the enigma of how de Moivre derived his recursion formulae and the formulae for the probability of a duration of exactly n games. I believe that he obtained the latter probability by differencing Nicholas Bernoulli's formula for the probability of ruin and that he obtained the recursion formulae by a simple algebraic method and induction. |
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