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.
Statistical auditing and randomness test of lotto k/N-type games / CORONEL BRIZIO, H. F.; HERNANDEZ MONTOYA, A. R.; Rapallo, Fabio; Scalas, Enrico. - In: PHYSICA. A. - ISSN 0378-4371. - 387:25(2008), pp. 6385-6390. [10.1016/j.physa.2008.07.017]
Statistical auditing and randomness test of lotto k/N-type games
SCALAS, Enrico
2008
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
