Orientation relationship in finite dimensional space

摘要

In the present article, we discuss the regression of a point on the surface of a unit sphere inddimensions given a point on the surface of a unit sphere inpdimensions, wherepmay not be equal tod. 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.