Orientation relationship in finite dimensional space

Jayant Jha and Atanu Biswas

Scandinavian Journal of Statistics, 2020, vol. 47, issue 3, 1011-1034

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:bla:scjsta:v:47:y:2020:i:3:p:1011-1034

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