Strong uniform convergence of density estimators on compact Euclidean manifolds

H. Hendriks, J. H. M. Janssen and F. H. Ruymgaart

Statistics & Probability Letters, 1993, vol. 16, issue 4, 305-311

Abstract: In this note the naive estimators for densities on the sphere in Ruymgaart (1989) are generalised to compact smooth submanifolds of a Euclidean space and their convergence behaviour is studied. As special examples are treated Stiefel manifolds (which include both the sphere and the orthogonal groups). Furthermore in the last section some goodness of fit procedures are discussed.

Keywords: Density; estimation; goodness; of; fit; Stiefel; manifold; Grasman; manifold; Euclidean; manifolds (search for similar items in EconPapers)
Date: 1993
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Citations: View citations in EconPapers (4)

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