Asymptotic distributions of smoothed histograms |
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Authors: | U Stadtmüller |
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Institution: | (1) Abt. für Mathematik, Universität Ulm, Oberer Eselsberg, D-7900 Ulm |
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Abstract: | As an estimator
for an unknown probability density functionf, concentrated on a known intervalI, one can use a histogram smoothed by a suitable family of lattice distributions. For such an estimator a uniform weak consistency result and a central limit theorem with an error bound are given. Further for the global deviation of
fromf the asymptotic distribution is developed.Partially supported by the Natural Sciences and Engineering Research Council of Canada, grant A 2983, A4806, and A3988. |
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Keywords: | |
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