Non‐parametric Regression for Circular Responses |
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Authors: | MARCO DI MARZIO AGNESE PANZERA CHARLES C. TAYLOR |
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Affiliation: | 1. DMQTE, Università di Chieti‐Pescara;2. Department of Statistics, University of Leeds |
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Abstract: | Regression with a circular response is a topic of current interest. We introduce non‐parametric smoothing for this problem. Simple adaptations of a weight function enable a unified formulation for both real‐line and circular predictors, whereas these cases have been tackled by quite distinct parametric methods. Additionally, we discuss various methodological extensions, obtaining a number of promising techniques – totally new in circular statistics – such as confidence intervals for the value of a circular regression and non‐parametric autoregression in circular time series. The findings are also illustrated through real data examples. |
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Keywords: | approximate confidence intervals circular‐circular regression mixing processes real‐line‐circular regression von Mises kernels |
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