Vector Autoregressions with Machine Learning

Abstract

I develop three new types of vector autoregressions that use supervised machine learning models to estimate coefficients in place of ordinary least squares. I use these models to estimate the effects of monetary policy on the real economy. Overall, I find that the machine learning vector autoregressions produce impulse responses that are well behaved and similar to their ordinary least squares counterparts. In practice, the machine learning vector autoregressions produce more conservative estimates than the traditional ordinary least squares vector autoregressions. Additionally, I establish a simulation scheme to compare the relative efficiency of impulse responses generated from machine learning and ordinary least squares vector autoregressions. To calculate condence intervals, I use a bias corrected bootstrapping method from Politis and Romano (1994) called the stationary bootstrap. In future work, I intend to compare these impulse responses using simulated data from Killian and Kim (2011)

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