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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 Scalas
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.

History

Publication status

  • Published

Journal

Physica A Statistical Mechanics and its Applications

ISSN

0378-4371

Publisher

Elsevier

Issue

25

Volume

387

Page range

6385-6390

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2014-09-26

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