Unit Averaging for Heterogeneous Panels

Fuente: arXiv
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Autori principali: Brownlees, Christian, Morozov, Vladislav
Natura: Preprint
Pubblicazione: 2022
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author Brownlees, Christian
Morozov, Vladislav
author_facet Brownlees, Christian
Morozov, Vladislav
contents In this work we introduce a unit averaging procedure to efficiently recover unit-specific parameters in a heterogeneous panel model. The procedure consists in estimating the parameter of a given unit using a weighted average of all the unit-specific parameter estimators in the panel. The weights of the average are determined by minimizing an MSE criterion we derive. We analyze the properties of the resulting minimum MSE unit averaging estimator in a local heterogeneity framework inspired by the literature on frequentist model averaging, and we derive the local asymptotic distribution of the estimator and the corresponding weights. The benefits of the procedure are showcased with an application to forecasting unemployment rates for a panel of German regions.
format Preprint
id arxiv_https___arxiv_org_abs_2210_14205
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Unit Averaging for Heterogeneous Panels
Brownlees, Christian
Morozov, Vladislav
Econometrics
In this work we introduce a unit averaging procedure to efficiently recover unit-specific parameters in a heterogeneous panel model. The procedure consists in estimating the parameter of a given unit using a weighted average of all the unit-specific parameter estimators in the panel. The weights of the average are determined by minimizing an MSE criterion we derive. We analyze the properties of the resulting minimum MSE unit averaging estimator in a local heterogeneity framework inspired by the literature on frequentist model averaging, and we derive the local asymptotic distribution of the estimator and the corresponding weights. The benefits of the procedure are showcased with an application to forecasting unemployment rates for a panel of German regions.
title Unit Averaging for Heterogeneous Panels
topic Econometrics
url https://arxiv.org/abs/2210.14205