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

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

2008-06-27

arxiv.org/abs/0806.4595v1

Physica A 387 Issue 25 pgs 6385-6390 (2008).

Physics

Data Analysis, Statistics and Probability

10 pages, no figures

Scientific paper

10.1016/j.physa.2008.07.017

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.

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