基于均值漂移模型的粗差定值定位The location and evaluation of gross error based on the mean shift model
金丽宏;汪耀;崔太岷;韦忠扬;潘雄;
摘要(Abstract)：
针对粗差定值定位问题,该文从观测值与其估值的解析关系出发,提出了一种基于均值漂移模型的粗差定值定位研究思路和方法。首先利用二次投影公式和帽子矩阵的性质,推导出了参数分量和粗差估计值的另一种估计表达式,讨论了相应估计量的统计性质。然后,根据不同情况,构造了粗差检验统计量,并给出了相应的粗差检验步骤。最后,用一组包含不同粗差的模拟算例验证了该文方法的有效性。从理论上丰富了粗差探测的方法,扩大了均值漂移模型的应用范围。
关键词(KeyWords)： 粗差;定值定位;均值漂移模型;帽子矩阵
基金项目(Foundation): 国家自然科学基金项目(41374017,40974002,11471105)
作者(Author): 金丽宏;汪耀;崔太岷;韦忠扬;潘雄;
Email:
DOI: 10.16251/j.cnki.1009-2307.2017.08.004
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