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Article Dans Une Revue Scandinavian Journal of Statistics Année : 2020

Orientation Relationship in Finite Dimensional Space

Résumé

In the present paper, 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.
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Dates et versions

hal-02883709 , version 1 (29-06-2020)

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Jayant Jha, Atanu Biswas. Orientation Relationship in Finite Dimensional Space. Scandinavian Journal of Statistics, In press, ⟨10.1111/sjos.12479⟩. ⟨hal-02883709⟩
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