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

التفاصيل البيبلوغرافية
العنوان: Statistical auditing and randomness test of lotto k/N-type games
المؤلفون: Coronel-Brizio, H. F., Hernandez-Montoya, A. R., Rapallo, Fabio, Scalas, Enrico
المصدر: Physica A 387 Issue 25 pgs 6385-6390 (2008).
سنة النشر: 2008
المجموعة: Physics (Other)
مصطلحات موضوعية: Physics - Data Analysis, Statistics and Probability, Physics - Computational Physics
الوصف: 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.
Comment: 10 pages, no figures
نوع الوثيقة: Working Paper
DOI: 10.1016/j.physa.2008.07.017
URL الوصول: http://arxiv.org/abs/0806.4595
رقم الأكسشن: edsarx.0806.4595
قاعدة البيانات: arXiv
الوصف
DOI:10.1016/j.physa.2008.07.017