IV methods for Tobit models

doi:10.1016/j.jeconom.2023.01.010

IV methods for Tobit models

2023-08-01

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DOI：10.1016/j.jeconom.2023.01.010

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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.& COPY; 2023 Elsevier B.V. All rights reserved.

Keywords:

Censored outcomes

Endogeneity

Incomplete models

Instrumental variables

Partial identification

Stochastic censoring

IV methods for Tobit models

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