The performance of kernel density functions in kernel distribution function estimation

Jones, M. C. (1990). The performance of kernel density functions in kernel distribution function estimation. Statistics and Probability Letters, 9(2) pp. 129–132.

DOI (Digital Object Identifier) Link:	https://doi.org/10.1016/0167-7152(92)90006-Q
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Abstract

We note that the uniform is the optimal kernel density for kernel estimation of the distribution function, or its inverse, and that several other popular kernel densities perform virtually as well. Parallels with the kernel density estimation case are made.

Item Type:	Journal Item
Copyright Holders:	1990 Elsevier Science B.V.
ISSN:	0167-7152
Keywords:	canonical kernels; density estimation; distribution function estimation; optimal kernels; quantile estimation
Academic Unit/School:	Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID:	28324
Depositing User:	Sarah Frain
Date Deposited:	16 Mar 2011 15:40
Last Modified:	07 Dec 2018 09:52
URI:	http://oro.open.ac.uk/id/eprint/28324
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