%0 Journal Article %1 sheather1991reliable %A Sheather, S. J. %A Jones, M. C. %D 1991 %I Blackwell Publishing for the Royal Statistical Society %J Journal of the Royal Statistical Society. Series B (Methodological) %K diplom kerndichte %N 3 %P pp. 683-690 %T A Reliable Data-Based Bandwidth Selection Method for Kernel Density Estimation %U http://www.jstor.org/stable/2345597 %V 53 %X We present a new method for data-based selection of the bandwidth in kernel density estimation which has excellent properties. It improves on a recent procedure of Park and Marron (which itself is a good method) in various ways. First, the new method has superior theoretical performance; second, it also has a computational advantage; third, the new method has reliably good performance for smooth densities in simulations, performance that is second to none in the existing literature. These methods are based on choosing the bandwidth to (approximately) minimize good quality estimates of the mean integrated squared error. The key to the success of the current procedure is the reintroduction of a non-stochastic term which was previously omitted together with use of the bandwidth to reduce bias in estimation without inflating variance.

@article{sheather1991reliable, abstract = {We present a new method for data-based selection of the bandwidth in kernel density estimation which has excellent properties. It improves on a recent procedure of Park and Marron (which itself is a good method) in various ways. First, the new method has superior theoretical performance; second, it also has a computational advantage; third, the new method has reliably good performance for smooth densities in simulations, performance that is second to none in the existing literature. These methods are based on choosing the bandwidth to (approximately) minimize good quality estimates of the mean integrated squared error. The key to the success of the current procedure is the reintroduction of a non-stochastic term which was previously omitted together with use of the bandwidth to reduce bias in estimation without inflating variance.}, added-at = {2011-08-12T16:12:13.000+0200}, author = {Sheather, S. J. and Jones, M. C.}, biburl = {https://www.bibsonomy.org/bibtex/2be99cf0e9eb70ea85dd12facb4758863/lutzm}, copyright = {Copyright © 1991 Royal Statistical Society}, description = {JSTOR: Journal of the Royal Statistical Society. Series B (Methodological), Vol. 53, No. 3 (1991), pp. 683-690}, interhash = {c643549ddfd7e6f36f27af956b579f5d}, intrahash = {be99cf0e9eb70ea85dd12facb4758863}, issn = {00359246}, journal = {Journal of the Royal Statistical Society. Series B (Methodological)}, jstor_articletype = {research-article}, jstor_formatteddate = {1991}, keywords = {diplom kerndichte}, language = {English}, number = 3, pages = {pp. 683-690}, publisher = {Blackwell Publishing for the Royal Statistical Society}, timestamp = {2011-08-12T16:12:13.000+0200}, title = {A Reliable Data-Based Bandwidth Selection Method for Kernel Density Estimation}, url = {http://www.jstor.org/stable/2345597}, volume = 53, year = 1991 }