Acta Scientiarum Naturalium Universitatis Pekinensis

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Bayesian Estimation of A Circle

TONG Xingwei,ZHENG Zhongguo   

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



  1. 北京大学数学科学学院,北京,100871

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

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

CLC Number: