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The main topic of my lecture is centered around micro-econometric models of a heterogeneous population as formalized in random coefficients models. The main idea of random coefficients models is that all individual share a common structural model, but that the coefficients in these models are individual specific and vary continuously across the population. In the first part of the lecture I will provide a general overview of the research in this field. I will start out illustrating the main issue in the simplest case which is the case of a linear model Y = X'B, where Y is a dependent variable of interest, X is a K vector of covariates possibly including a constant, and B is a K vector of unobserved random coefficients. I will specifically focus on how to nonparametrically identify the density f_B of random coefficients and, based on these insights, how to construct a nonparametric sample counterparts estimator. I will then give an overview of related research in nonlinear random coefficients models.
The second part of the lecture will be devoted to a specific nonlinear model, which is called a triangular random coefficients model. The triangular structure is designed to capture the notion of endogeneity, and hence generalize the standard linear IV model by use of a second equation that details how the endogenous regressor is related to an exogenous instrument. In this model, in the absence of additional identifying assumptions non-identification prevails, as is shown formally. Explicit bounds are derived, but the focus of this part of the lecture is on showing nonparametric identification under additional assumptions. Moreover, a sample counterparts estimator is being proposed, and its large sample properties analyzed. Finally, we also provide an application to consumer demand."
Professor Hoderlein is currently Professor of Economics at Boston College and also a Fellow of Journal of Econometrics. Professor Hoderlein’s recent research interests focus on the analytic method of heterogeneity and nonparametrics. His research articles have been published in several prestigious journals, such as Journal of Econometrics, and Econometric Theory. Professor Hoderlein was elected as Fellow of Journal of Econometrics in 2016.
14:00-15:10: Lecture 1
15:10-15:30: Tea Break
15:30-16:50: Lecture 2 and Discussion
*Lectures in English