Multivariate k-nearest neighbor density estimates
Under appropriate assumptions, expressions describing the asymptotic behavior of the bias and variance of k-nearest neighbor density estimates with weight function w are obtained. The behavior of these estimates is compared with that of kernel estimates. Particular attention is paid to the properties of the estimates in the tail.
Year of publication: |
1979
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Authors: | Mack, Y. P. ; Rosenblatt, M. |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 9.1979, 1, p. 1-15
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Publisher: |
Elsevier |
Keywords: | Density estimates k-nearest neighbor kernel estimate order statistics variance bias tail behavior |
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