节点文献
污染模型下的最优估计
Optimal estimation under contaminated error model
【摘要】 在目前的抗差估计理论研究中,抗差估计的建立与模型误差没有关系,主要是依据抗差准则设计相应的权函数,但权函数的选择带有主观性,因而抗差估计是经验的。本文就合适于测量数据处理的污染误差模型,提出了未知参数向量和方差的最小均方误差的抗差估计,探讨了最小均方误差估计的计算问题。
【Abstract】 The contaminated error model is presented in modern statistics and robust adjustment theory is also established. At present, the result of any robust estimate depends on its weight function. But the weight function and its parameters are determined personally. This paper establishes the robust estimates of parameter vector and variance factor with minimum mean square error, all parameters of which are determined according to statistics.
【关键词】 污染误差模型;
抗差估计;
均方误差;
【Key words】 Contaminated error model; Robust estimation; Mean square error;
【Key words】 Contaminated error model; Robust estimation; Mean square error;
【基金】 国家自然科学基金
- 【文献出处】 测绘学报 ,ACTA GEODAETICA ET CARTOGRAPHIC SINICA , 编辑部邮箱 ,1999年01期
- 【分类号】P207
- 【被引频次】20
- 【下载频次】192