"Drawings since hit tables in lotteries" and a new multivariate geometric distribution
AbstractIn 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.
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Bibliographic InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 40 (1998)
Issue (Month): 4 (November)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
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