Asymptotic variance and extensions of a density-weighted-response semiparametric estimator

Myoung Jae Lee, Fali Huang, Young Sook Kim

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Building on some early works, Lewbel (2000) proposed estimators for binary and ordered discrete response models with endogenous regressors. These estimators have been extended for panel data and for truncated and censored models by later papers. The estimators are particularly innovative in that the latent linear regression functions are pulled out of the nonlinear limited dependent variable models, which are then treated as if they were the usual linear models. But understanding the estimators and their applications have been "hampered" by less-than-ideal expositions and assumptions. For this problem, this short note reviews the estimators and makes the following three points. First, the derivation and proper insight of the asymptotic variances are provided. Second, the inefficiency of the ordered discrete response version is pointed out and corrected. Third, assumptions in the panel data extension by Honoré and Lewbel (2002) are relaxed.

Original languageEnglish
Pages (from-to)49-58
Number of pages10
JournalJournal of Economic Theory and Econometrics
Issue number1
Publication statusPublished - 2008 Mar


  • Binary response
  • Ordered discrete response
  • Panel data
  • Semiparametrics
  • Two-stage estimation

ASJC Scopus subject areas

  • Economics and Econometrics


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