Arbeitspapier

Nonparametric estimation of an additive model with a link function

This paper describes an estimator of the additive components of a nonparametric additive model with a known link function. When the additive components are twice continuously differentiable, the estimator is asymptotically normally distributed with a rate of convergence in probability of n-2/5. This is true regardless of the (finite) dimension of the explanatory variable. Thus, in contrast to the existing asymptotically normal estimator, the new estimator has no curse of dimensionality. Moreover, the asymptotic distribution of each additive component is the same as it would be if the other components were known with certainty.

Sprache
Englisch

Erschienen in
Series: cemmap working paper ; No. CWP19/02

Klassifikation
Wirtschaft
Thema
Additive models , multivariate curve estimation , nonparametric regression , kernel estimates , orthogonal series estimator
Nichtparametrisches Verfahren
Schätztheorie
Theorie

Ereignis
Geistige Schöpfung
(wer)
Horowitz, Joel
Mammen, Enno
Ereignis
Veröffentlichung
(wer)
Centre for Microdata Methods and Practice (cemmap)
(wo)
London
(wann)
2002

DOI
doi:10.1920/wp.cem.2002.1902
Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Horowitz, Joel
  • Mammen, Enno
  • Centre for Microdata Methods and Practice (cemmap)

Entstanden

  • 2002

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