Asymptotic distribution of data‐driven smoothers in density and regression estimation under dependence

We consider automatic data‐driven density, regression and autoregression estimates, based on any random bandwidth selector h/T. We show that in a first‐order asymptotic approximation they behave as well as the related estimates obtained with the “optimal” bandwidth hT as long as hT/hT → 1 in probabi...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 1995
Materias:
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03195724_v23_n4_p383_Boente
http://hdl.handle.net/20.500.12110/paper_03195724_v23_n4_p383_Boente
Aporte de:
id paper:paper_03195724_v23_n4_p383_Boente
record_format dspace
spelling paper:paper_03195724_v23_n4_p383_Boente2023-06-08T15:31:58Z Asymptotic distribution of data‐driven smoothers in density and regression estimation under dependence 62M10. autoregression models Data‐driven bandwidth selectors density estimation kernel estimates nonparametric regression Primary 62G05 secondary 62G20 α‐mixing processes We consider automatic data‐driven density, regression and autoregression estimates, based on any random bandwidth selector h/T. We show that in a first‐order asymptotic approximation they behave as well as the related estimates obtained with the “optimal” bandwidth hT as long as hT/hT → 1 in probability. The results are obtained for dependent observations; some of them are also new for independent observations. Copyright © 1995 Statistical Society of Canada 1995 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03195724_v23_n4_p383_Boente http://hdl.handle.net/20.500.12110/paper_03195724_v23_n4_p383_Boente
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 62M10.
autoregression models
Data‐driven bandwidth selectors
density estimation
kernel estimates
nonparametric regression
Primary 62G05
secondary 62G20
α‐mixing processes
spellingShingle 62M10.
autoregression models
Data‐driven bandwidth selectors
density estimation
kernel estimates
nonparametric regression
Primary 62G05
secondary 62G20
α‐mixing processes
Asymptotic distribution of data‐driven smoothers in density and regression estimation under dependence
topic_facet 62M10.
autoregression models
Data‐driven bandwidth selectors
density estimation
kernel estimates
nonparametric regression
Primary 62G05
secondary 62G20
α‐mixing processes
description We consider automatic data‐driven density, regression and autoregression estimates, based on any random bandwidth selector h/T. We show that in a first‐order asymptotic approximation they behave as well as the related estimates obtained with the “optimal” bandwidth hT as long as hT/hT → 1 in probability. The results are obtained for dependent observations; some of them are also new for independent observations. Copyright © 1995 Statistical Society of Canada
title Asymptotic distribution of data‐driven smoothers in density and regression estimation under dependence
title_short Asymptotic distribution of data‐driven smoothers in density and regression estimation under dependence
title_full Asymptotic distribution of data‐driven smoothers in density and regression estimation under dependence
title_fullStr Asymptotic distribution of data‐driven smoothers in density and regression estimation under dependence
title_full_unstemmed Asymptotic distribution of data‐driven smoothers in density and regression estimation under dependence
title_sort asymptotic distribution of data‐driven smoothers in density and regression estimation under dependence
publishDate 1995
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03195724_v23_n4_p383_Boente
http://hdl.handle.net/20.500.12110/paper_03195724_v23_n4_p383_Boente
_version_ 1768541655116283904