Sufficient Statistics for Unobserved Heterogeneity in Structural Dynamic Logit Models

Victor Aguirregabiria (), Jiaying Gu and Yao Luo

Working Papers from University of Toronto, Department of Economics

Abstract: We study the identification and estimation of structural parameters in dynamic panel data logit models where decisions are forward-looking and the joint distribution of unobserved heterogeneity and observable state variables is nonparametric, i.e., fixed-effects model. We consider models with two endogenous state variables: the lagged decision variable, and the time duration in the last choice. This class of models includes as particular cases important economic applications such as models of market entry-exit, occupational choice, machine replacement, inventory and investment decisions, or dynamic demand of differentiated products. The identification of structural parameters requires a sufficient statistic that controls for unobserved heterogeneity not only in current utility but also in the continuation value of the forward-looking decision problem. We obtain the minimal sufficient statistic and prove identification of some structural parameters using a conditional likelihood approach. We apply this estimator to a machine replacement model.

Keywords: Panel data discrete choice models; Dynamic structural models; Fixed effects; Unobserved heterogeneity; Structural state dependence; Identification; Sufficient statistic. (search for similar items in EconPapers)
JEL-codes: C23 C25 C41 C51 C61 (search for similar items in EconPapers)
Pages: Unknown pages
Date: 2018-05-10
New Economics Papers: this item is included in nep-com, nep-dcm, nep-ecm and nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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Related works:
Journal Article: Sufficient statistics for unobserved heterogeneity in structural dynamic logit models (2021)
Working Paper: Sufficient Statistics for Unobserved Heterogeneity in Structural Dynamic Logit Models (2018)
Working Paper: Sufficient Statistics for Unobserved Heterogeneity in Structural Dynamic Logit Models (2018)
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