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- W2040542404 abstract "For fitting a circle to a set of noisy data, a statistical treatment is given using a linear model with heteroscedastic variances when angular differences between successive data points are known. A two-stage estimate of circle parameters is proposed, and its statistical properties are also established. In particular, we show that the two-stage estimate is uniformly better than the ordinary least-squares estimate under the criterion of mean squares error. Our simulation results also show that at least for small sample sizes the two-stage estimate has smaller mean squares error than the maximum likelihood estimates." @default.
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- W2040542404 date "2004-09-01" @default.
- W2040542404 modified "2023-09-27" @default.
- W2040542404 title "Estimating the parameters of a circle by heteroscedastic regression models" @default.
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- W2040542404 doi "https://doi.org/10.1016/s0378-3758(03)00206-4" @default.
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