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Asymptotic normality of recursive estimators under strong mixing conditions

Aboubacar Amiri ()

Statistical Inference for Stochastic Processes, 2013, vol. 16, issue 2, 96 pages

Abstract: Dans ce papier, nous nous intéressons à l’estimation de la fonction de régression par une approche non-paramétrique par noyau. Nous établissons la normalité asymptotique, pour une famille générale d’estimateurs récursifs à noyau de la fonction de régression, sous une hypothèse de forte mélangence. Notre rsultat généralise ainsi le résulttat de Roussas and Tran (Ann Stat 20:98–120, 1992 ) sur l’estimateur de Devroye–Wagner. Copyright Springer Science+Business Media Dordrecht 2013

Keywords: Recursive kernel estimators; Regression function; Strong mixing processes; Asymptotic normality; 62G05; 62G07; 62G08 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s11203-013-9078-x

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