Rate-optimal and computationally efficient nonparametric density estimators are developed for the circle and sphere, with closed-form expressions for regional probability estimates.
(2011b), ‘Bandwidth selection in kerrnel density estimation: oracle inequalities and adaptive minimax optimality’.The Annals of Statistics, 39, 1608-1632
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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.