Mathematics – Statistics Theory
Scientific paper
2006-03-06
Annals of Statistics 2005, Vol. 33, No. 6, 2957-2966
Mathematics
Statistics Theory
Published at http://dx.doi.org/10.1214/009053605000000697 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst
Scientific paper
10.1214/009053605000000697
Classes of coordinate-invariant omnibus goodness-of-fit tests on compact
Riemannian manifolds are proposed. The tests are based on Gin\'{e}'s Sobolev
tests of uniformity. A condition for consistency is given. The tests are
illustrated by an example on the rotation group $\mathit{SO}(3)$.
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