Fitting circles to data with correlated noise

被引：23
|
作者：
Chernov, N. [1 ]
Sapirstein, P. N. [2 ]
机构：
[1] Univ Alabama Birmingham, Dept Math, Birmingham, AL 35294 USA
[2] Cornell Univ, Dept Hist Art & Archaeol, Ithaca, NY 14853 USA
来源：
COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2008年 / 52卷 / 12期
关键词：
D O I：
10.1016/j.csda.2008.05.025
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We study the problem of fitting circles to scattered data. Unlike many other studies, we assume that the noise is (strongly) correlated; we adopt a particular model where correlations decay exponentially with the distance between data points. Our main results are formulas for the maximum likelihood estimates and their covariance matrix. Our study is motivated by (and applied to) arcs collected during archeological field work. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：5328 / 5337
页数：10
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