Strong uniform convergence of density estimators on compact Euclidean manifolds

DOI10.1016/0167-7152(93)90135-6zbMath0766.62020OpenAlexW2008831712MaRDI QIDQ1209707

S. Singh

Publication date: 16 May 1993

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(93)90135-6

zbMATH Keywords

orthogonal groupStiefel manifolddensity estimationStiefel manifoldsstrong uniform convergencecompact smooth submanifoldsEuclidean manifoldsgoodness of fit proceduresGrasman manifoldnaive estimators

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Strong limit theorems (60F15)

Related Items (6)

Measure estimation on manifolds: an optimal transport approach ⋮ Robust nonparametric regression on Riemannian manifolds ⋮ Theoretical aspects of ill-posed problems in statistics ⋮ Kernel density estimation on Riemannian manifolds ⋮ Estimation of densities and derivatives of densities with directional data. ⋮ Adaptive density estimation for directional data using needlets

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• Volumes of tubular neighborhoods of spherical polyhedra and statistical inference
• Probability inequalities for empirical processes and a law of the iterated logarithm
• Conservative confidence bands in curvilinear regression
• Bounds for the uniform deviation of empirical measures
• Uniform distribution on a Stiefel manifold
• Strong uniform convergence of density estimators on spheres
• Testing for uniformity on a compact homogeneous space

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