Non-parametric Regression for Circular Responses

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 paramet...

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Bibliographic Details
Published inScandinavian journal of statistics Vol. 40; no. 2; pp. 238 - 255
Main Authors DI MARZIO, MARCO, PANZERA, AGNESE, TAYLOR, CHARLES C.
Format Journal Article
LanguageEnglish
Published Oxford, UK Blackwell Publishing Ltd 01.06.2013
Wiley Publishing
Subjects
Adaptation
approximate confidence intervals
circular-circular regression
mixing processes
real-line-circular regression
Regression analysis
Responses
Statistical methods
Studies
von Mises kernels
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Summary: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.
Bibliography:istex:AA6898A3DB8C1F5B5EEDFDC2DCC42A0C4B4D60C7
ark:/67375/WNG-RQ5079ZB-N
ArticleID:SJOS809
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0303-6898
1467-9469
DOI:10.1111/j.1467-9469.2012.00809.x