Multiple circular–circular regression

Article Type

Research Article

Publication Title

Statistical Modelling

Abstract

In this article, we consider the circular–circular regression model using Möbius transformation. We first consider the model provided by Kato et al. (2008) for only one circular regressor and prove the identifiability of the model. After that, a methodology is discussed to reduce the prediction error of this model. We then introduce the two multiple circular–circular regression models with multiple circular regressors. We prove the identifiability of the models and discuss their geometry. We then discuss the parameter estimation procedure followed by simulation study. The methodologies are illustrated by some real datasets.

First Page

142

Last Page

171

DOI

10.1177/1471082X16679501

Publication Date

6-1-2017

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