数学物理学报 ›› 2014, Vol. 34 ›› Issue (1): 207-216.

• 论文 • 上一篇    

基于非平稳性度量的彩票数据实证分析

谭秋衡1,2, 丁义明1,3*   

  1. 1.中国科学院武汉物理与数学研究所 武汉 100049|2.中国科学院大学 北京 100049;3.中国科学院国家数学与交叉科学中心 北京 100190
  • 收稿日期:2012-12-19 修回日期:2013-11-25 出版日期:2014-02-25 发布日期:2014-02-25
  • 通讯作者: 丁义明,ding@wipm.ac.cn E-mail:ding@wipm.ac.cn

Empirical Analysis of Lottery Data Based on Non-stationarity Measure

 TAN Qiu-Heng1,2, DING Yi-Ming1,3*   

  1. 1.Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071;
    2.University of Chinese Academy of Sciences, Beijin 100049|3National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences, Beijing 100190
  • Received:2012-12-19 Revised:2013-11-25 Online:2014-02-25 Published:2014-02-25
  • Contact: Ding Yi-ming,ding@wipm.ac.cn E-mail:ding@wipm.ac.cn

摘要:

非平稳性度量是衡量时间序列平稳程度的方法.利用非平稳度量,给出了C检验,并结合非平稳性度量值,对我国体彩“排列五”,“七星彩”及美国亚利桑那州的博彩“Pick3”的历史数据进行分析,发现博彩各数位上整数“0~9”出现都拥有稳定的概率,但并不是以等概率1/10出现,其分布于i.i.d均匀分布稍有差异,其中“七星彩”均匀性最好,“Pick3”的均匀性次之,“排列五”均匀性稍差.

关键词: 彩票数据分析, 非平稳性度量, 统计检验, 信息结构

Abstract:

Based on the ideas of nonstationarity measure (NS), we study historical data of three lotteries: “Pailie 50” and “7 stars”in China, and “Pick 30”in Arizona state (USA). The stability of frequencies of numbers in different digits and the uniformity of the distributions in different digits for each lottery are investigated carefully. Some empirical evidences are obtained: the occurrences of numbers in 0…9 at each digit admit stable probability, the distribution of numbers in different digits are di erent from the i.i.d uniform distribution on 0…9, and the nonstationarity measures NS(7 stars)< NS(Pick 3)

Key words: Lottery data analysis, Nonstationarity measure, Information structure, Statistical test

中图分类号: 

  • 62M10