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Statistical auditing and randomness test of lotto k/N-type games
journal contribution
posted on 2023-06-08, 18:25 authored by H F Coronel-Brizio, A R Hernández-Montoya, F Rapallo, Enrico ScalasOne of the most popular lottery games worldwide is the so-called 'lotto k/N'. It considers N numbers 1,2,...,N from which k are drawn randomly, without replacement. A player selects k or more numbers and the first prize is shared amongst those players whose selected numbers match all of the k randomly drawn. Exact rules may vary in different countries. In this paper, mean values and covariances for the random variables representing the numbers drawn from this kind of game are presented, with the aim of using them to audit statistically the consistency of a given sample of historical results with theoretical values coming from a hypergeometric statistical model. The method can be adapted to test pseudorandom number generators.
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Publication status
- Published
Journal
Physica A Statistical Mechanics and its ApplicationsISSN
0378-4371Publisher
ElsevierExternal DOI
Issue
25Volume
387Page range
6385-6390Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-09-26Usage metrics
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