Using non-stochastic terms to advantage in kernel-based estimation of integrated squared density derivatives
Improved kernel-based estimates of integrated squared density derivatives are obtained by reinstating non-stochastic terms that have previously been omitted, and using the bandwidth to (approximately) cancel these positive quantities with the leading smoothing bias terms which are negative. Such estimators have exhibited great practical merit in the context of data-based selection of the bandwidth in kernel density estimation, a motivating application of this work discussed elsewhere.
Year of publication: |
1991
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Authors: | Jones, M. C. ; Sheather, S. J. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 11.1991, 6, p. 511-514
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Publisher: |
Elsevier |
Keywords: | Bandwidth selection bias reduction functional estimation kernel density estimation rates of convergence smoothing |
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