Multiple circular–circular regression.

In this article, we consider the circular–circular regression model using Möbius transformation. We first consider the model provided by <xref>Kato et al. (2008)</xref> 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. [ABSTRACT FROM AUTHOR]