Multiple circular–circular regression. (June 2017)

• Record Type: Journal Article
• Authors: Jha, Jayant; Biswas, Atanu
• Is Part Of: Statistical modelling. Volume 17:Number 3(2017)
• Page Start: 142
• Page End: 171
• Publication Date: 2017-06
• Subjects: circular–circular regression -- Circular R2 -- Möbius transformation -- spokeplot -- von Mises distribution -- wrapped Cauchy distribution; Linear models (Statistics) -- Periodicals; Mathematical models -- Periodicals; Modèles linéaires (Statistique) -- Périodiques; Modèles mathématiques -- Périodiques; Modèle statistique; Modèle linéaire; Modélisation statistique; Périodique électronique (Descripteur de forme); Ressource Internet (Descripteur de forme); 519.5011
• DOI: 10.1177/1471082X16679501
• Languages: English
• ISSNs: 1471-082X

Abstract

Abstract: In this article, we consider the circular–circular regression model using Möbius transformation. We first consider the model provided byKato 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.