Exclusion Restrictions in Dynamic Binary Choice Panel Data Models: Comment on “Semiparametric Binary Choice Panel Data Models Without Strictly Exogenous Regressors”

In this note we revisit the use of exclusion restrictions in the semiparametric binary choice panel data model introduced in Honore and Lewbel (2002). We show that in a dynamic panel data setting (where one of the pre-determined explanatory variables is the lagged dependent variable), the exclusion restriction in Honore and Lewbel (2002) implicitly re- quires serial independence condition on an observed regressor, that if violated in the data will result in their procedure being inconsistent. We propose a new identification strategy and estimation procedure for the semiparametric binary panel data model under exclusion restrictions that accommodate the serial correlation of observed regressors in a dynamic setting. The new estimator converges at the parametric rate to a limiting normal distribution. This rate is faster than the nonparametric rates of existing alternative estimators for the binary choice panel data model, including the static case in Manski (1987) and the dynamic case in Honore and Kyriazidou (2000).

[1]  J. Hahn.  THE INFORMATION BOUND OF A DYNAMIC PANEL LOGIT MODEL WITH FIXED EFFECTS , 2001, Econometric Theory.

[2]  James J. Heckman,et al.  Identifying the Hand of the Past: Distinguishing State Dependence from Heterogeneity , 1991 .

[3]  Charles F. Manski,et al.  SEMIPARAMETRIC ANALYSIS OF RANDOM EFFECTS LINEAR MODELS FROM BINARY PANEL DATA , 1987 .

[4]  Jeremy T. Fox.  Semiparametric estimation of multinomial discrete-choice models using a subset of choices , 2007 .

[5]  L. Gan,et al.  An alternative root-n consistent estimator for panel data binary choice models , 2010 .

[6]  Jerry A. Hausman,et al.  Testing for causal e ffects in a generalized regression model with endogenous regressors , 2010 .

[7]  Shakeeb Khan,et al.  Informational Content of Special Regressors in Heteroskedastic Binary Response Models , 2013 .

[8]  Bo E. Honoré,et al.  Panel Data Discrete Choice Models with Lagged Dependent Variables , 2000 .

[9]  Rosa L. Matzkin,et al.  Cross Section and Panel Data Estimators for Nonseparable Models with Endogenous Regressors , 2005 .

[10]  A. Lewbel,et al.  Identification and estimation of games with incomplete information using excluded regressors , 2015 .

[11]  A. Lewbel,et al.  Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables , 2000 .

[12]  R. Sherman.  The Limiting Distribution of the Maximum Rank Correlation Estimator , 1993 .

[13]  Bo E. Honoré,et al.  Trimmed LAD and Least Squares Estimation of Truncated and Censored Regression Models with Fixed Effects , 1992 .

[14]  Bo E. Honoré,et al.  Semiparametric Binary Choice Panel Data Models without Strictly Exogeneous Regressors , 2000 .

[15]  Robert P. Sherman,et al.  U-Processes in the Analysis of a Generalized Semiparametric Regression Estimator , 1994, Econometric Theory.