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Working Paper
Identifying Structural VARs with a Proxy Variable and a Test for a Weak Proxy
This paper develops a simple estimator to identify structural shocks in vector autoregressions (VARs) by using a proxy variable that is correlated with the structural shock of interest but uncorrelated with other structural shocks. When the proxy variable is weak, modeled as local to zero, the estimator is inconsistent and converges to a distribution. This limiting distribution is characterized, and the estimator is shown to be asymptotically biased when the proxy variable is weak. The F statistic from the projection of the proxy variable onto the VAR errors can be used to test for a weak ...
Working Paper
A High-Frequency Measure of Income Inequality
To identify shocks in VARs using short-run sign or exclusion restrictions, the highest-frequency data possible is usually preferred. For income inequality, there is tension between high frequency and high quality. Annual datasets that survey large numbers of people provide high-quality estimates of income. Higher frequency surveys generally provide a sparser sampling of individual income. Some previous studies have used the the higher frequency data, presumably to match the frequency necessary to identify the shock. Using data obtained from the higher frequency, lower respondant surveys might ...