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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/215

Title: Smoothing sparse multinomial data using local polynomal fitting
Authors: AERTS, Marc
Augustyns, Ilse
Keywords: Mathematical Statistics
Non and semiparametric methods
Issue Date: 1997
Citation: Journal of nonparametric Statistics, 8(2). p. 127-147
Abstract: To estimate cell probabilities for sparse multinomial data several smoothing techniques have been investigated. Here we propose local polynomial smoothers as estimators for the cell probabilities and we study their performance. For the mean sum of squared errors we obtain the optimal rate of convergence and we establish a central limit theorem. We show that local polynomial smoothers provide a nice alternative for already existing nonparametric estimators and we discuss interrelations. Some illustrations are also included.
URI: http://hdl.handle.net/1942/215
DOI: 10.1080/10485259708832717
Type: Journal Contribution
Appears in Collections: Research publications

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