Spherical Regression
Chang, Ted
Ann. Statist., Tome 14 (1986) no. 2, p. 907-924 / Harvested from Project Euclid
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Suppose $u_1,\cdots,u_n$ are fixed points on the sphere, $v_1,\cdots,v_n$ are random points such that the distribution of $v_i$ depends only upon $v^t_iAu_i$ for some unknown rotation A. This paper provides asymptotic tests and confidence regions for A and for the axis of rotation of A. Results are given in arbitrary dimension.
Publié le : 1986-09-14
Classification:  Estimated rotations on spheres,  62J99 
@article{1176350041,
     author = {Chang, Ted},
     title = {Spherical Regression},
     journal = {Ann. Statist.},
     volume = {14},
     number = {2},
     year = {1986},
     pages = { 907-924},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176350041}
}

Chang, Ted. Spherical Regression. Ann. Statist., Tome 14 (1986) no. 2, pp.  907-924. http://gdmltest.u-ga.fr/item/1176350041/