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On the statistical estimation of the logarithmic derivative of a measure in a Hilbert space

On the statistical estimation of the logarithmic derivative of a measure in a Hilbert space We consider the problem of statistical estimation of the logarithmic derivative of a measure in an infinite-dimensional Hilbert space. It is shown that an approximating sequence of finite-dimensional estimates can be constructed for the unknown logarithmic derivative using independent observation data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On the statistical estimation of the logarithmic derivative of a measure in a Hilbert space

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Publisher
de Gruyter
Copyright
© de Gruyter 2010
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2010.042
Publisher site
See Article on Publisher Site

Abstract

We consider the problem of statistical estimation of the logarithmic derivative of a measure in an infinite-dimensional Hilbert space. It is shown that an approximating sequence of finite-dimensional estimates can be constructed for the unknown logarithmic derivative using independent observation data.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Dec 1, 2010

Keywords: Estimation; logarithmic derivative; Hilbert space

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