基于灰色距离测度的粗大误差判别方法

小样本试验数据的概率分布特征难以确定,使用传统的粗大误差判别方法存在较大风险。为了有效判别小样本试验数据中的粗大误差,本文探讨了基于试验数据之间的距离关系和拓扑结构的灰色距离测度的概念、数学意义、性质,在此基础上提出粗大误差判别方法。最后取一组小样本数据进行计算,实例结果表明所提出的方法合理有效。

Approach to Distinguish Gross Errors Based on Grey Distance Measure

There are some risks to use traditional probability theory to distinguish gross error of small samples.To distinguish the gross error of small samples effectively,this paper discusses the concept,math meaning and property of grey distance measure based on the distance and to-pology frame of test data,and puts forward a method to distinguish gross errors.At last an example is given to demonstrate the availability and ap-plication of the proposed method.