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Estimating the Parameters of a Circle When Angular Differences are Known

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  • Mark Berman

Abstract

This paper examines the problem of estimating the parameters of a circle when angular differences between successive data points are known. It is shown how this extra information reduces a model previously studied in the literature to a linear model with some interesting properties. The model is fitted to two data sets, the first arising in physics and the second in archaeology.

Suggested Citation

  • Mark Berman, 1983. "Estimating the Parameters of a Circle When Angular Differences are Known," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 32(1), pages 1-6, March.
    • Handle: RePEc:bla:jorssc:v:32:y:1983:i:1:p:1-6
    DOI: 10.2307/2348036
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    Cited by:

    1. Ulric Lund, 2013. "Monte Carlo maximum likelihood circle fitting using circular density functions," Computational Statistics, Springer, vol. 28(2), pages 393-411, April.
    2. Liu, Xin & Yue, Rong-Xian & Wong, Weng Kee, 2018. "D-optimal design for the heteroscedastic Berman model on an arc," Journal of Multivariate Analysis, Elsevier, vol. 168(C), pages 131-141.

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