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Robust Inference in Models Identified via Heteroskedasticity

Daniel Lewis

Federal Reserve Bank of New York

The Review of Economics and Statistics 2022

Identification via heteroskedasticity exploits variance changes between regimes to identify parameters in simultaneous equations. Weak identification occurs when shock variances change very little or multiple variances change close to proportionally, making standard inference unreliable. I propose an F-test for weak identification in a common simple version of the model. More generally, I establish conditions for validity of nonconservative robust inference on subsets of the parameters, which can be used to test for weak identification. I study monetary policy shocks identified using heteroskedasticity in high-frequency data. I detect weak identification, invalidating standard inference, in daily data, while intraday data provide strong identification.

DOI
10.1162/rest_a_00963
Volume
104 (3)
Pages
510-524
Language
en
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