Panel Data Models with Time-Varying Latent Group Structures

Yiren Wang, Peter Phillips and Liangjun Su ()
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Yiren Wang: Singapore Management University

No 2364, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: This paper considers a linear panel model with interactive fixed effects and unobserved individual and time heterogeneities that are captured by some latent group structures and an unknown structural break, respectively. To enhance realism the model may have different numbers of groups and/or different group memberships before and after the break. With the preliminary nuclear norm-regularized estimation followed by row- and column-wise linear regressions, we estimate the break point based on the idea of binary segmentation and the latent group structures together with the number of groups before and after the break by sequential testing K-means algorithm simultaneously. It is shown that the break point, the number of groups and the group memberships can each be estimated correctly with probability approaching one. Asymptotic distributions of the estimators of the slope coefficients are established. Monte Carlo simulations demonstrate excellent finite sample performance for the proposed estimation algorithm. An empirical application to real house price data across 377 Metropolitan Statistical Areas in the US from 1975 to 2014 suggests the presence both of structural breaks and of changes in group membership.

Pages: 90 pages
Date: 2023-06
New Economics Papers: this item is included in nep-dcm, nep-ecm, nep-ets and nep-sea
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https://cowles.yale.edu/sites/default/files/2023-07/D2364.pdf (application/pdf)

Related works:
Journal Article: Panel data models with time-varying latent group structures (2024)
Working Paper: Panel Data Models with Time-Varying Latent Group Structures (2023)
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