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Circular regression

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  • T. D. Downs

Abstract

A new model for an angular regression link function is introduced. The model employs an angular scale parameter, incorporates proper and improper rotations as special cases, and is equivalent to the Möbius circle mapping for complex variables. Desirable properties of the circle mapping carry over to angular regression. Parameter estimation and inferential methods are developed and illustrated. Copyright Biometrika Trust 2002, Oxford University Press.

Suggested Citation

  • T. D. Downs, 2002. "Circular regression," Biometrika, Biometrika Trust, vol. 89(3), pages 683-698, August.
    • Handle: RePEc:oup:biomet:v:89:y:2002:i:3:p:683-698
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    Cited by:

    1. Ashis SenGupta & Sungsu Kim, 2016. "Statistical inference for homologous gene pairs between two circular genomes: a new circular–circular regression model," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 25(3), pages 421-432, August.
    2. SenGupta, Ashis & Kim, Sungsu & Arnold, Barry C., 2013. "Inverse circular–circular regression," Journal of Multivariate Analysis, Elsevier, vol. 119(C), pages 200-208.
    3. S. Liu & T. Ma & A. SenGupta & K. Shimizu & M.-Z. Wang, 2017. "Influence Diagnostics in Possibly Asymmetric Circular-Linear Multivariate Regression Models," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(1), pages 76-93, May.
    4. Mark Irwin & Noel Cressie & Gardar Johannesson, 2002. "Spatial-temporal nonlinear filtering based on hierarchical statistical models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 11(2), pages 249-302, December.
    5. McVinish, R. & Mengersen, K., 2008. "Semiparametric Bayesian circular statistics," Computational Statistics & Data Analysis, Elsevier, vol. 52(10), pages 4722-4730, June.

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