Nonparametric estimation in case of endogenous selection

This paper addresses the problem of estimation of a nonparametric regression function from selectively observed data when selection is endogenous. Our approach relies on independence between covariates and selection conditionally on potential outcomes. Endogeneity of regressors is also allowed for....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Breunig, Christoph (VerfasserIn) , Mammen, Enno (VerfasserIn) , Simoni, Anna (VerfasserIn)
Dokumenttyp: Book/Monograph Arbeitspapier
Sprache:Englisch
Veröffentlicht: Berlin SFB 649, Economic Risk 2015
Schriftenreihe:SFB 649 discussion paper 2015-050
In: SFB 649 discussion paper (2015-050)

Schlagworte:
Online-Zugang:Resolving-System, Volltext: http://hdl.handle.net/10419/146165
Verlag, Volltext: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2015-050.pdf
Volltext
Verfasserangaben:Christoph Breunig; Enno Mammen; Anna Simoni
Beschreibung
Zusammenfassung:This paper addresses the problem of estimation of a nonparametric regression function from selectively observed data when selection is endogenous. Our approach relies on independence between covariates and selection conditionally on potential outcomes. Endogeneity of regressors is also allowed for. In both cases, consistent two-step estimation procedures are proposed and their rates of convergence are derived. Also pointwise asymptotic distribution of the estimators is established. In addition, we propose a nonparametric specification test to check the validity of our independence assumption. Finite sample properties are illustrated in a Monte Carlo simulation study and an empirical illustration.
Beschreibung:Online Resource