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Title: Local smoothing with given marginals
Authors: Jacob, Pierre 
Oliveira, Paulo Eduardo 
Keywords: Local polynomial smoothing; Marginal distributions
Issue Date: 2010
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 10-11 (2010)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 10-11
Place of publication or event: Coimbra
Abstract: In models using categorical data one may use adjacency relations to justify smoothing to improve upon simple histogram approximations of the probabilities. This is particularly convenient for sparsely observed or rather peaked distributions. Moreover, in a few models, prior knowledge of a marginal distribution is available. We adapt local polynomial estimators to include this partial information about the underlying distribution and give explicit representations for the proposed estimators. An application to a set of anthropological data is included.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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