IV methods for Tobit models

Andrew Chesher, Dongwoo Kim and Adam Rosen

Journal of Econometrics, 2023, vol. 235, issue 2, 1700-1724

Abstract: This paper studies models of processes generating censored outcomes with endogenous explanatory variables and instrumental variable restrictions. Tobit-type left censoring at zero is the primary focus in the exposition. Extension to stochastic censoring is sketched. The models do not specify the process determining endogenous explanatory variables and they do not embody restrictions justifying control function approaches. Consequently, they can be partially or point identifying. Identified sets are characterized and it is shown how inference can be performed on scalar functions of partially identified parameters when exogenous variables have rich support. In an application using data on UK household tobacco expenditures inference is conducted on the coefficient of an endogenous total expenditure variable with and without a Gaussian distributional restriction on the unobservable and compared with the results obtained using a point identifying complete triangular model.

Keywords: Censored outcomes; Endogeneity; Incomplete models; Instrumental variables; Partial identification; Stochastic censoring (search for similar items in EconPapers)
JEL-codes: C10 C24 C26 C51 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:235:y:2023:i:2:p:1700-1724

DOI: 10.1016/j.jeconom.2023.01.010

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