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Two methods are given for adapting a kernel density estimate to obtain an estimate of a density function with bias O … smaller mean squared errors than classical kernel density estimates and those due to Jones et al. (Biometrika 82 …
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tending to infinity. We prove sufficient conditions on the weights (e.g. fulfilled by kernel weights) of a local averaging … estimate of the codf, based on data with errors, which ensure strong pointwise consistency. We show that two of the three …
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We introduce and discuss a multivariate version of the classical median that is based on an equipartition property with respect to quarter spaces. These arise as pairwise intersections of the half-spaces associated with the coordinate hyperplanes of an orthogonal basis. We obtain results on...
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