Arbeitspapier

Estimation in an additive model when the components are linked parametrically

Motivated by a nonparametric GARCH model we consider nonparametric additive regression and autoregression models in the special case that the additive components are linked parametrically. We show that the parameter can be estimated with parametric rate and give the normal limit. Our procedure is based on two steps. In the first step nonparametric smoothers are used for the estimation of each additive component without taking into account the parametric link of the functions. In a second step the parameter is estimated by using the parametric restriction between the additive components. Interestingly, our method needs no undersmoothing in the first step.

Sprache
Englisch

Erschienen in
Series: SFB 373 Discussion Paper ; No. 1999,1

Klassifikation
Wirtschaft
Thema
Finance
Nonparametric Regression
Additive Models
Asymptotics
Autoregression
GARCH Models
Measurement Error
Time Series

Ereignis
Geistige Schöpfung
(wer)
Carroll, Raymond J.
Härdle, Wolfgang
Mammen, Enno
Ereignis
Veröffentlichung
(wer)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(wo)
Berlin
(wann)
1999

Handle
URN
urn:nbn:de:kobv:11-10055992
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Carroll, Raymond J.
  • Härdle, Wolfgang
  • Mammen, Enno
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Entstanden

  • 1999

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