北京大学学报(自然科学版)

圆参数的贝叶斯估计

童行伟,郑忠国   

  1. 北京大学数学科学学院,北京,100871
  • 收稿日期:2000-09-21 出版日期:2001-09-20 发布日期:2001-09-20

Bayesian Estimation of A Circle

TONG Xingwei,ZHENG Zhongguo   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871, E-mail: xweitong@263.net
  • Received:2000-09-21 Online:2001-09-20 Published:2001-09-20

摘要: 用贝叶斯方法解决圆相邻角已知的情况下的参数估计,并得出圆半径的后验分布和置信区间。

关键词: 贝叶斯假设, 贝叶斯定理, 后验分布最大后验估计

Abstract: It is shown how to use bayesian theorem in estimating the parameters of a circle when angular differences between successive data points are known. The posterior distribution of the radius and consequently the confidence interval for the radius are derived.

Key words: bayesian hypothesis, bayesian theorem, posterior distribution, maximum posterior estimation

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