Sobolev Tests for Independence of Directions
Jupp, P. E. ; Spurr, B. D.
Ann. Statist., Tome 13 (1985) no. 1, p. 1140-1155 / Harvested from Project Euclid
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Two families of invariant tests for independence of random variables on compact Riemannian manifolds are proposed and studied. The tests are based on Gine's Sobolev norms which are obtained by mapping the manifolds into Hilbert spaces. For general compact manifolds, randomization tests are suggested. For the bivariate circular case, distribution-free tests based on uniform scores are considered.
Publié le : 1985-09-14
Classification:  Consistency,  correlation,  directional data,  independence,  invariance,  randomization tests,  Riemannian manifolds,  uniform scores,  62H15,  62H20,  62G10,  62E20 
@article{1176349661,
     author = {Jupp, P. E. and Spurr, B. D.},
     title = {Sobolev Tests for Independence of Directions},
     journal = {Ann. Statist.},
     volume = {13},
     number = {1},
     year = {1985},
     pages = { 1140-1155},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176349661}
}

Jupp, P. E.; Spurr, B. D. Sobolev Tests for Independence of Directions. Ann. Statist., Tome 13 (1985) no. 1, pp.  1140-1155. http://gdmltest.u-ga.fr/item/1176349661/