Total Error in a Plug-in Estimator of Level Sets

Given a probability density f on R^d, the minimum volume set of probability content á can be estimated by the level set of the same probability content corresponding to a kernel estimator of f. We obtain convergence rates for this plug-in estimator with respect to a measure-based distance between sets. This distance has a straightforward interpretation in the context of cluster analysis.

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Year of publication:	2003-05
Authors:	Moreno, Amparo Baillo
Institutions:	Departamento de Estadistica, Universidad Carlos III de Madrid

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Extent:	application/pdf
Series:	Statistics and Econometrics Working Papers.
Type of publication:	Book / Working Paper
Language:	English
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005417115