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Sparse consistency and smoothing for multinomial data

✍ Scribed by Marc Aerts; Ilse Augustyns; Paul Janssen

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
334 KB
Volume
33
Category
Article
ISSN
0167-7152

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✦ Synopsis

For sparse multinomial data we study sparse consistency rates for frequency estimators and for local polynomial cell probability estimators. Our results illustrate the beneficial effect of nonparametric smoothing. Compared to sparse consistency properties for maximum penalized likelihood cell probability estimators our results require less stringent conditions and allow more flexible sparseness conditions.

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