TY - JOUR
T1 - Statistical auditing and randomness test of lotto k / N-type games
AU - Coronel-Brizio, H. F.
AU - Hernández-Montoya, A. R.
AU - Rapallo, F.
AU - Scalas, E.
N1 - Funding Information:
A.R.H.M. was supported by Conacyt-Mexico under sabbatical Grant 75932 and Grant 80720. F.R. and E.S. were supported by local research funds provided by East Piedmont University.
PY - 2008/11/1
Y1 - 2008/11/1
N2 - 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.
AB - 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.
KW - Combinatorial calculus
KW - Empirical randomness test
KW - Lottery games
KW - Multivariate hypothesis testing
KW - Statistical models
UR - http://www.scopus.com/inward/record.url?scp=51049105256&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2008.07.017
DO - 10.1016/j.physa.2008.07.017
M3 - Article
SN - 0378-4371
VL - 387
SP - 6385
EP - 6390
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 25
ER -