Arbeitspapier

Nonparametric estimation and testing of interaction in additive models

We consider an additive model with second order interaction terms. It is shown how the components of this model can be estimated using marginal integration, and the asymptotic distribution of the estimators is derived. Moreover, two test statistics for testing the presence of interactions are proposed. Asymptotics for the test functions are obtained, but in this case the asymptotics produce inaccurate results unless the number of observations is very large. For small or moderate sample sizes a bootstrap procedure is suggested and is shown to work well on a simulated example. Finally, our methods are illustrated on a five-dimensional production function for a set of Wisconsin farm data. In particular, the separability hypothesis for the production function is discussed.

Sprache
Englisch

Erschienen in
Series: SFB 373 Discussion Paper ; No. 1998,14

Klassifikation
Wirtschaft
Thema
Nonparametric Regression
Additive Models
Testing Additivity
Derivative Estimation

Ereignis
Geistige Schöpfung
(wer)
Sperlich, Stefan
Tjøstheim, Dag
Yang, Lijian
Ereignis
Veröffentlichung
(wer)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(wo)
Berlin
(wann)
1998

Handle
URN
urn:nbn:de:kobv:11-10056484
Letzte Aktualisierung
10.03.2025, 11:43 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

  • Sperlich, Stefan
  • Tjøstheim, Dag
  • Yang, Lijian
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Entstanden

  • 1998

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