Clustering for Multi-Dimensional Heterogeneity with an Application to Production Function Estimation
Xu Cheng (),
Frank Schorfheide and
Peng Shao ()
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Xu Cheng: University of Pennsylvania
Peng Shao: Boston University
PIER Working Paper Archive from Penn Institute for Economic Research, Department of Economics, University of Pennsylvania
Abstract:
This paper studies the estimation of multi-dimensional heterogeneous parameters in a nonlinear panel data model with endogeneity. These heterogeneous parameters are modeled with group patterns. Through estimating multiple memberships for each unit, the proposed method is robust to sparse interactions; in other words, certain combinations of unobserved features are less common compared to other combinations. We estimate the memberships along with the group-specific and common parameters in a nonlinear GMM framework and derive their large sample properties. Finally, we apply this approach to the estimation of production function and re-evaluate the trajectory of the aggregate markup.
Keywords: Clustering; GMM; K-mean; Panel Data; Production Function Estimation (search for similar items in EconPapers)
JEL-codes: C13 C23 D22 D24 E23 (search for similar items in EconPapers)
Pages: 53 pages
Date: 2023-09-19
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Citations: View citations in EconPapers (1)
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