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Estimation of Latent Group Structures in Time-Varying Panel Data Models

Paul Haimerl, Stephan Smeekes and Ines Wilms

Papers from arXiv.org

Abstract: We consider panel data models where coefficients change smoothly over time and follow a latent group structure, being homogeneous within but heterogeneous across groups. To jointly estimate the group membership and group-specific coefficient trajectories, we propose FUSE-TIME, a pairwise adaptive group fused-Lasso estimator combined with polynomial spline sieves. We establish consistency, derive the asymptotic distributions of the penalized sieve estimator and its post-selection version, and show oracle efficiency. Monte Carlo experiments demonstrate strong finite-sample performance in terms of estimation accuracy and group identification. An application to the CO2 intensity of GDP highlights the relevance of addressing both cross-sectional heterogeneity and time-variance in empirical exercises.

Date: 2025-03, Revised 2025-11
New Economics Papers: this item is included in nep-ecm and nep-ets
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