三大统计学派推断思想的比较研究——以贝伦斯—费歇尔问题为例

The Comparative Research on Inference Thought of the Three Schools of Statistics——Take Behrens-Fisher Problem as an Example

本文介绍了贝伦斯-费歇尔问题的历史及三大统计学派在此问题上的主要解决方法,从一个侧面反映了奈曼置信推断、贝叶斯辩证推断与费歇尔信念推断思想的差异。

The article introduces the history for research of Behrens-Fisher Problem and some main approaches to solve the problem by three statistics schools.The respective approaches reflect the differences of inference thoughts among classical statistics,Bayes statistics and fiducial statistics.