Direct Semiparametric Estimation of Single-Index Models with Discrete Covariates

Joel L. Horowitz*, Wolfgang Härdle

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

168 Scopus citations

Abstract

Others have developed average derivative estimators of the parameter β in the model E(Y|X = x) = G(xβ), where G is an unknown function and X is a random vector. These estimators are noniterative and easy to compute but require that X be continuously distributed. This article develops a noniterative, easily computed estimator of β for models in which some components of X are discrete. The estimator is n½ consistent and asymptotically normal. An application to data on product innovation by German manufacturers illustrates the estimator's usefulness.

Original languageEnglish (US)
Pages (from-to)1632-1640
Number of pages9
JournalJournal of the American Statistical Association
Volume91
Issue number436
DOIs
StatePublished - Dec 1 1996

Funding

Joel L. Horowitz is Professor, Department of Economics, University of Iowa, Iowa City, IA 52242. Wolfgang Hardle is Professor, Institute for Statistics and Econometrics, Humboldt University, 10178 Berlin, Germany. This research was supported in part by Deutsche Forschungsgemeinschaft, Sonderforschungsbereich 373, "Quantifikation und Simulation Oknonomischer Prozesse." The research of Joel L. Horowitz was supported in part by National Science Foundation grants DMS·9208820 and SBR-9307677. The authors thank N. E. Savin for comments on this research.

Keywords

  • Average derivative estimation
  • Index model

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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