A Review on Nonparametric Circular Regression

María Alonso-Pena () and Rosa M. Crujeiras ()
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María Alonso-Pena: University of Santiago de Compostela, Department of Statistics, Mathematical Analysis and Optimization
Rosa M. Crujeiras: CITMAga, Universidade De Santiago De Compostela

A chapter in Directional and Multivariate Statistics, 2025, pp 159-176 from Springer

Abstract: Abstract Nonparametric regression models involving circular variables (as responses and/or covariates) are revised in this chapter, focusing on a kernel approach. For linear response and circular covariate, both suitably adapted local polynomial and local likelihood models are introduced. The local polynomial approach is also presented for circular response regression. The use of these estimators for testing different hypotheses is also revised and their applicability is illustrated with a real data example. Finally, we provide some resources for the computation of the different tools.

Date: 2025
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DOI: 10.1007/978-981-96-2004-3_9

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