Author

Hugo Freeman

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Preprint Oct 2026

Linear Regression with Common Unobserved Heterogeneity

We study inference on common slope parameters in linear panel models with two-way unobserved heterogeneity. In linear regression, bias arises from unobserved heterogeneity that is shared between the residual and the covariates. Our common unobserved heterogeneity (CUH) estimator targets this common variation directly:...

Kai-Cheng Chen, Hugo Freeman · 0 citations

Preprint Aug 2026

Nonparametric Identification of Two-Way Unobserved Heterogeneity

We study identification of two-way unobserved heterogeneity in the nonparametric panel regression $G_{it}=g(\alpha_i,\gamma_t)+\varepsilon_{it}$, where identification of the latent types reduces to constructing identified, \emph{injective} proxies for them. To this end we consider the singular value decomposition (SVD)...

Hugo Freeman, Dennis Kristensen · 0 citations