彩票中奖号码公平性的假设检验  

Winning the Lottery Number Fairness of Hypothesis Test

作　　者：杨斌[1] 

机构地区：[1]昆明理工大学城市学院,云南昆明650051

出　　处：《数学的实践与认识》2015年第2期219-224,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11126309)

摘　　要：彩票中奖号码是否公平,可以通过中奖号码的数字是否服从离散均匀分布来衡量.以浙江某体育彩票为例,运用x^2检验,KS检验,Wilcoxon秩检验以及基于Pratt带结模型的Wilcoxon符号秩检验的方法来研究彩票中奖号码的公平性,运用不同的假设检验方法来研究彩票是否符合均匀分布,且用轮次统计量检验方法检验了彩票样本的独立性.从而得到彩票中奖号码服从离散均匀分布的结论.并且通过模拟不同的数据来检验文章上述几种检验方法的可靠性.Fairness of the lottery number, whether can pass the number of the winning Numbers obeying measured discrete uniform distribution. Based on a sports lottery in zhe- jiang province as an example, using the x2test, KS test, Wilcoxon rank test, and the sign of model based on Pratt belt junction rank test method to study the fairness of the lottery number, using different methods of hypothesis test to study the lottery is in line with the uniform distribution, and the inspection methods of the lottery with rounds statistics the independence of the samples. Winning the lottery number obey the discrete uniform distri- bution is obtained.And through the simulation of different data to do the further discussion, the reliability of several test methods to test the above article.

关 键 词：离散均匀分布 检验 均匀性 独立性 可靠性 

分 类 号：O212.1[理学—概率论与数理统计]