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"Drawings since hit tables in lotteries" and a new multivariate geometric distribution

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  • Henze, Norbert

Abstract

In number lotteries people choose r numbers out of s. Weekly published "drawings since hit tables" indicate how many drawings have taken place since each of the s numbers was last selected as a winning number. Among many lotto players, they enhance the widespread belief that numbers should be "due" if they have not come up for a long time. Under the assumptions of independence of the drawings and equiprobability of all possible combinations, the random s-vectors Yn, n [greater-or-equal, slanted] 1, of entries in a drawings since hit table after n drawings form a Markov chain. The limit distribution of Yn as n --> [infinity] is a new multivariate generalization of the geometric distribution. The determination of the distribution of the maximum entry in a drawings since hit table within the first n draws of a lottery seems to be an open problem.

Suggested Citation

  • Henze, Norbert, 1998. ""Drawings since hit tables in lotteries" and a new multivariate geometric distribution," Statistics & Probability Letters, Elsevier, vol. 40(4), pages 321-327, November.
    • Handle: RePEc:eee:stapro:v:40:y:1998:i:4:p:321-327
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    References listed on IDEAS

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    1. N. Henze, 1997. "A statistical and probabilistic analysis of popular lottery tickets," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 51(2), pages 155-163, July.
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