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Shrinkage Estimation and Identification of Latent Group Structures in Panel Data with Interactive Fixed Effects

Bibliographic Data

ID19417350
AuthorsAli Mehrabani (0000-0002-1848-5582, University of Kansas), Shahnaz Parsaeian (University of Kansas, corresponding author)
Year2026
Pages1-13
Publication date2026-01-23
Open AccessNo
TypeARTICLE
VenueJournal of Business and Economic Statistics (JOURNAL)
Journal identifiersISSN: 0735-0015 • E-ISSN: 1537-2707
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/07350015.2025.2571185
OpenAlexW4415036244
LanguageEN
Citations received1
References cited46

This paper provides a framework for joint shrinkage estimation and identification of latent group structures in panel data models with interactive fixed effects and large number of explanatory variables. The latent structure of the model allows individuals to be classified into a number of groups where the number of groups and/or each individual’s group identity are unknown. A doubly penalized principal component estimation procedure using a pairwise fusion penalty and an adaptive LASSO (least absolute shrinkage and selection operator) penalty is introduced to detect the latent group structure and select the relevant regressors. To implement the proposed approach, an alternating direction method of multipliers algorithm has been developed. The proposed method is further illustrated by simulation studies and an empirical application of economic growth across various countries which demonstrate the good performance of the method

Estimation · Panel data · Shrinkage · Housing Market and Economics · Spatial and Panel Data Analysis · Statistical Methods and Inference

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Citations per year1
Citation span2026 - 2026 (1)
Highly citedNo

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