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Journal of the American Statistical Association Volume 88, 1993 - Issue 424
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Theory and Method

Locally Adaptive Bandwidth Choice for Kernel Regression Estimators

Michael Brockmann Institute of Applied Mathematics, University of Heidelberg, D-6900, Heidelberg, Germany
,
Theo Gasser Biostatistics Department, ISPM, University of Zürich, CH-8006, Zürich, Switzerland
&
Eva Herrmann Mathematics Department, Technical University of Darmstadt, D-6100, Darmstadt, Germany
Pages 1302-1309 | Received 01 Jan 1992, Published online: 27 Feb 2012

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J. Peter, R.J. Jaszczak, B.F. Hutton & H.M. Hudson. (1999) Fully adaptive variable order temporal regression smoothing in gated cardiac SPECT image reconstruction. Fully adaptive variable order temporal regression smoothing in gated cardiac SPECT image reconstruction.
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Theo Gasser, Joachim Engel & Burkhardt Seifert. 1993. Computational Statistics. Computational Statistics 423 465 .
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