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一种新的稳健估计方法的权函数选取
Weighting Function Selection of a New Robust Estimation Method
【摘要】 介绍了利用误差分布律的概率密度函数定义权函数的一种稳健估计方法。首先从理论上阐述了此种稳健方法的计算步骤,并通过实例同最小二乘法和几种稳健估计方法(Huber估计法、Hampel估计法、丹麦估计法)作了比较;证明了此种方法的优越性。
【Abstract】 This paper introduced a new robust estimation method for defining weighting function by probability density function using error distribution law.First,it theoretically discussed the calculation steps of the robust method.Then it compared the least square method with several robust estimation methods(Huber estimation,Hampel estimation,and Danish estimation) through practice.Finally,it proved the superiority of this method.
【关键词】 粗差;
稳健估计;
概率密度函数;
权函数;
【Key words】 gross error; robust estimation; probability density function; weight function;
【Key words】 gross error; robust estimation; probability density function; weight function;
- 【文献出处】 测绘与空间地理信息 ,Geomatics & Spatial Information Technology , 编辑部邮箱 ,2008年01期
- 【分类号】P207.1
- 【被引频次】12
- 【下载频次】401