Fitting circles to data with correlated noise
N. Chernov and
P.N. Sapirstein
Computational Statistics & Data Analysis, 2008, vol. 52, issue 12, 5328-5337
Abstract:
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.
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:52:y:2008:i:12:p:5328-5337
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