Statistical auditing and randomness test of lotto k/N-type games

Coronel-Brizio, H F, Hernández-Montoya, A R, Rapallo, F and Scalas, E (2008) Statistical auditing and randomness test of lotto k/N-type games. Physica A Statistical Mechanics and its Applications, 387 (25). pp. 6385-6390. ISSN 0378-4371

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Abstract

One 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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0276 Mathematical statistics
Depositing User: Enrico Scalas
Date Deposited: 26 Sep 2014 08:15
Last Modified: 26 Sep 2014 08:16
URI: http://sro.sussex.ac.uk/id/eprint/50261
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