Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/79552 
Year of Publication: 
2012
Series/Report no.: 
cemmap working paper No. CWP34/12
Publisher: 
Centre for Microdata Methods and Practice (cemmap), London
Abstract: 
In this paper we study a random coefficient model for a binary outcome. We allow for the possibility that some or even all of the regressors are arbitrarily correlated with the random coefficients, thus permitting endogeneity. We assume the existence of observed instrumental variables Z that are jointly independent with the random coefficients, although we place no structure on the joint determination of the endogenous variable X and instruments Z, as would be required for a control function approach. The model fits within the spectrum of generalized instrumental variable models studied in Chesher and Rosen (2012a), and we thus apply identification results from that and related studies to the present context, demonstrating their use. Specifically, we characterize the identi.ed set for the distribution of random coefficients in the binary response model with endogeneity via a collection of conditional moment inequalities, and we investigate the structure of these sets by way of numerical illustration.
Subjects: 
random coefficients
instrumental variables
endogeneity
incomplete models
set identification
partial identification
random sets
JEL: 
C10
C14
C50
C51
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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