Fitting circles to scattered data: parameter estimates have no moments
Statistics Theory
2009-07-03 v1 Statistics Theory
Abstract
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 estimates of the circle center and radius have infinite moments. We also discuss methodological implications of this fact.
Cite
@article{arxiv.0907.0429,
title = {Fitting circles to scattered data: parameter estimates have no moments},
author = {N. Chernov},
journal= {arXiv preprint arXiv:0907.0429},
year = {2009}
}
Comments
14 pages