Rate-optimal and computationally efficient nonparametric density estimators are developed for the circle and sphere, with closed-form expressions for regional probability estimates.
(2005), ‘Kernel density estimation on Riemannian manifolds’,Statistics and probability letters, 73(3), 297–304
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Rate-optimal and computationally efficient nonparametric estimation on the circle and the sphere
Rate-optimal and computationally efficient nonparametric density estimators are developed for the circle and sphere, with closed-form expressions for regional probability estimates.