Circular regression

被引:90
作者
Downs, TD
Mardia, KV
机构
[1] Res Stat Inc, Houston, TX 77265 USA
[2] Univ Leeds, Dept Stat, Leeds LS2 9JT, W Yorkshire, England
关键词
angular regression; circle mapping; Mobius transformation; primary symmetry point; reflection; rotation; torus; von Mises distribution;
D O I
10.1093/biomet/89.3.683
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A new model for an angular regression link function is introduced. The model employs an angular scale parameter, incorporates proper and improper rotations as special cases, and is equivalent to the Mobius circle mapping for complex variables. Desirable properties of the circle mapping carry over to angular regression. Parameter estimation and inferential methods are developed and illustrated.
引用
收藏
页码:683 / 697
页数:15
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