Rate-optimal and computationally efficient nonparametric density estimators are developed for the circle and sphere, with closed-form expressions for regional probability estimates.
(2006), ‘Non-parametric regression estimation on closed Riemannian man- ifolds’,Journal of Nonparametric Statistics, 18(1), 57–67
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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.