Journal of the Korean Statistical Society
- 제18권2호
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- Pages.107-117
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- 1989
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- 1226-3192(pISSN)
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- 2005-2863(eISSN)
On the Plug-in Bandwidth Selectors in Kernel Density Estimation
- Park, Byeong-Uk (Department of Computer Science and Statistics, Seoul National University, Seoul)
- 발행 : 1989.12.01
초록
A stronger result than that of Park and Marron (1994) is proved here on the asymptotic distribution of the plug-in bandwidth selector. The new result is that the plug-in bandwidth selector may have the rate of convergence ($n^{-4/13}$ with less smoothness conditions on the unknown density functions than as described in Park and Marron's paper. Together with this, a class of various plug-in bandwidth selectors are considered and their asymptotic distributions are given. Finally, some ideas of possible improvements on those plug-in bandwidth selectors are provided.
키워드