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  • 11
    Online-Ressource
    Online-Ressource
    Berlin : Humboldt-Universität zu Berlin, Wirtschaftswissenschaftliche Fakultät
    UID:
    edochu_18452_4021
    Umfang: 1 Online-Ressource (26 Seiten)
    ISSN: 1436-1086
    Serie: 2000,48
    Inhalt: The importance of homogeneity as a restriction on functional forms has been well recognized in economic theory. Imposing additive separability is also quite popular since many economics models become easier to interpret and estimate when the explanatory variables are additively separable. In this paper we combine the two restrictions and propose a two step nonparametric procedure for estimating additive models whose unknown component functions may be homogeneous of known degree. In the first step we obtain preliminary estimates of the components by imposing homogeneity on local linear fits. In the second step these pilot estimates are marginally integrated to produce estimators of the additive components which possess optimal rates of convergence. We derive the asymptotic theory of these two step estimators and illustrate their use on data collected from livestock farms in Wisconsin.
    Sprache: Englisch
    URL: Volltext  (kostenfrei)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 12
    Online-Ressource
    Online-Ressource
    Berlin : Humboldt-Universität zu Berlin
    UID:
    edochu_18452_28450
    Umfang: 1 Online-Ressource (24 Seiten)
    Inhalt: Consider the regression , where and the exact functional form of f is unknown, although we do know that f is homogeneous of known degree r. Using a local linear approach, we examine two ways of nonparametrically estimating f: (i) a “direct” approach and (ii) a “projection based” approach. We show that depending upon the nature of the conditional variance , one approach may be asymptotically better than the other. Results of a small simulation experiment are presented to support our findings.We thank Don Andrews and an anonymous referee for comments that greatly improved this paper. The first author thanks Professor Wolfgang Härdle for hospitality at the Institute of Statistics and Econometrics, Humboldt University, Berlin, where part of this research was carried out. Financial support to the first author from Sonderforschungsbereich 373 (“Quantifikation und Simulation Ökonomischer Prozesse”) and the NSF via grants SES-0111917 and SES-0214081 is also gratefully acknowledged.
    Inhalt: Peer Reviewed
    Anmerkung: This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
    In: Cambridge : Cambridge Univ. Press, 19,04, Seiten 640-663
    Sprache: Englisch
    URL: Volltext  (kostenfrei)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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