Fitting circles to scattered data: parameter estimates have no moments

被引：0
|
作者：
N. Chernov
机构：
[1] University of Alabama at Birmingham,Department of Mathematics
来源：
Metrika | 2011年 / 73卷
关键词：
Orthogonal regression; Errors-in-variables; Least squares fit; Circle fitting; Moments of estimates;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a nonlinear regression problem of fitting a circle (or a circular arc) to scattered data. We prove that under any standard assumptions on the statistical distribution of errors that are commonly adopted in the literature, the orthogonal regression estimators of the circle center and radius have infinite (absolute) moments. We also discuss methodological implications of this fact.
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页码：373 / 384
页数：11
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