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Title: Exponential rates for kernal density estimation under association
Authors: Henriques, Carla 
Oliveira, Paulo Eduardo 
Keywords: Kernel estimation; Association; Exponential rates
Issue Date: 2002
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 02-23 (2002)
Abstract: The estimation of density based on positive dependent samples has been studied recently with consistency and asymptotic normality results being obtained. In what concerns the characterization on decrease rates the results have been scarce. The article proves an exponential decrease rate for the kernel estimator of the density with an uniform version, over compact sets. The conditions assumed impose convenient decrease rates on the covariance structure of the sample. Some examples supposing exponential but also polynomial decrease rates on the covariances that fulfill our assumptions are presented in the last section.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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