Zhang, S.; Karunamuni, R. J. and Jones, M. C.
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We propose a new method of boundary correction for kernel density estimation. The technique is a kind of generalized reflection method involving reflecting a transformation of the data. The transformation depends on a pilot estimate of the logarithmic derivative of the density at the boundary. In simulations, the new method is seen to clearly outperform an earlier generalized reflection idea. It also has overall advantages over boundary kernel methods and a nonnegative adaptation thereof, although the latter are competitive in some situations. We also present the theory underlying the new methodology.
|Item Type:||Journal Article|
|Copyright Holders:||1999 American Statistical Association|
|Project Funding Details:||
|Keywords:||density estimation; mean squared error; pseudodata; reflection; transformation|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Sarah Frain|
|Date Deposited:||28 Apr 2011 11:01|
|Last Modified:||04 Oct 2016 10:46|
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