Abstract

GUTIERREZ-PULIDO, HUMBERTO  and  GARCIA, JUAN MANUEL. Testing and Monitoring the Randomness of d Digit Number Game. Rev.Colomb.Estad. [online]. 2010, vol.33, n.2, pp.167-190. ISSN 0120-1751.

this work is centered on testing the randomness of d-digit number game. It is usual that this problem is studied by the χ ² test and other tests for independence of successive draws. However, these tests require of large sample sizes. As an alternative, it is proposed a Bayesian methodology based on the multinomial model. This methodology does not depend on asymptotic results. Besides, for monitoring the results of this type of game, it is proposed a geometric control chart. Monte Carlo study is carried out to analyze this chart. As a practical case, the data of 500 draws of mexican lottery Tris were analyzed, and problems of lack of randomness are detected.

Keywords : Control chart; Dirichlet distribution; Geometric distribution; Lottery Chi-square test; Multinomial distribution.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )