摘要
本文沿着E.F.Schuster和任德麟的思路,用三族平行线网相交的三角形格,对Buffon投针实验独立性进行了研究,并用Buffoa概率p对π作了统计估计的有效性分析,得出独立性条件不成立的结论。用等边三角形格作投针(针长为其高之半)100次,大致相当于用单一平行线网投针400次。
In the present paper, we follow Schuster's and Ren Delir's idea, and try to discuss the independence of Buffon's needle experiment, and the effective analysis and statistical estimate for π.We take the equilateral triangles covering our plane, and a needle having a longth Ha/2, 100 independent observations with respect to three grids containing the same amount of information about 400 observation with respect to one set of grid lines.
出处
《武汉大学学报（自然科学版）》
CSCD
1991年第3期25-28,共4页
Journal of Wuhan University(Natural Science Edition)
关键词
投针实验
统计估计
概率
needle experiment, statistical estimate, probability
