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Consistency of a nonparametric estimate of a density function for dependent variables

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Author Info
Boente, Graciela
Fraiman, Ricardo
Abstract

In this paper strong consistency and uniform complete consistency of the nonparametric density estimator proposed by [5], 1049-1051) is proved for [phi]-mixing and [alpha]-mixing processes.

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Article provided by Elsevier in its journal Journal of Multivariate Analysis.

Volume (Year): 25 (1988)
Issue (Month): 1 (April)
Pages: 90-99
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Handle: RePEc:eee:jmvana:v:25:y:1988:i:1:p:90-99

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Related research
Keywords: nonparametric density estimators nearest neighbor method [phi]-mixing [alpha]-mixing processes;

Cited by:
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  1. Boris Labrador, 2009. "Rates of strong uniform convergence of the k T -occupation time density estimator," Statistical Inference for Stochastic Processes, Springer, vol. 12(3), pages 269-283, October. [Downloadable!] (restricted)
  2. Gao, Jiti & Tong, Howell, 2002. "Nonparametric and semiparametric regression model selection," MPRA Paper 11987, University Library of Munich, Germany, revised Feb 2004. [Downloadable!]
  3. Rodney C Wolff & Jiti Gao & Howell Tong, 2006. "Adaptive orthogonal series estimation in additive stochastic regression models," Rodney Wolff Papers 2006-10, School of Economics and Finance, Queensland University of Technology. [Downloadable!]
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