Orientation relationship in finite dimensional space

Article Type

Research Article

Publication Title

Scandinavian Journal of Statistics

Abstract

In the present article, we discuss the regression of a point on the surface of a unit sphere in d dimensions given a point on the surface of a unit sphere in p dimensions, where p may not be equal to d. Point projection is added to the rotation and linear transformation for regression link function. The identifiability of the model is proved. Then, parameter estimation in this set up is discussed. Simulation studies and data analyses are done to illustrate the model.

First Page

1011

Last Page

1034

DOI

10.1111/sjos.12479

Publication Date

9-1-2020

Comments

Open Access, Green

This document is currently not available here.

Share

COinS