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A control function approach to estimating switching regression models with endogenous explanatory variables and endogenous switching
Journal article   Peer reviewed

A control function approach to estimating switching regression models with endogenous explanatory variables and endogenous switching

Irina Murtazashvili and Jeffrey M. Wooldridge
Journal of econometrics, v 190(2)
Feb 2016

Abstract

Average treatment effect Control function approach Random coefficient model
We derive simple, multi-step estimation methods for a linear model with heterogeneous coefficients when there are both continuous and discrete endogenous explanatory variables. We consider both cross-sectional and panel data settings. When we extend our model to panel data, we use the Chamberlain–Mundlak device to allow heterogeneity to be correlated with time-varying explanatory variables. We apply the panel data methods we propose to estimation of a housing budget share equation where a homeownership dummy variable plays the role of the endogenous regime, and total expenditure plays the role of a continuous endogenous explanatory variable. We find that the constant coefficient model seems sufficient, and that the estimation methods we propose produce rather plausible estimates of the model parameters.

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Collaboration types
Domestic collaboration
Web of Science research areas
Economics
Mathematics, Interdisciplinary Applications
Social Sciences, Mathematical Methods
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