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Nowcasting in a pandemic using non-parametric mixed frequency VARs. (English) Zbl 07633056

Summary: This paper develops Bayesian econometric methods for posterior inference in non-parametric mixed frequency VARs using additive regression trees. We argue that regression tree models are ideally suited for macroeconomic nowcasting in the face of extreme observations, for instance those produced by the COVID-19 pandemic of 2020. This is due to their flexibility and ability to model outliers. In an application involving four major euro area countries, we find substantial improvements in nowcasting performance relative to a linear mixed frequency VAR.

MSC:

62-XX Statistics
91-XX Game theory, economics, finance, and other social and behavioral sciences

Software:

BayesTree; BartPy

References:

[1] Adrian, T.; Boyarchenko, N.; Giannone, D., Multi-modality in macro-financial dynamics, Federal Reserve Bank New York Staff Rep., 903 (2019)
[2] Adrian, T.; Boyarchenko, N.; Giannone, D., Vulnerable growth, Amer. Econ. Rev., 109, 1263-1289 (2019)
[3] Bleich, J.; Kapelner, A.; George, E. I.; Jensen, S. T., Variable selection for BART: An application to gene regulation, Ann. Appl. Stat., 1750-1781 (2014) · Zbl 1304.62132
[4] Brave, S.; Butters, R.; Justiano, A., Forecasting economic activity with mixed frequency BVARs, Int. J. Forecast., 35, 1692-1707 (2019)
[5] Carriero, A.; Clark, T. E.; Marcellino, M., Large Bayesian vector autoregressions with stochastic volatility and non-conjugate priors, Big Data in Dynamic Predictive Econometric Modeling. Big Data in Dynamic Predictive Econometric Modeling, J. Econometrics, 212, 1, 137-154 (2019) · Zbl 1452.62890
[6] Chipman, H. A.; George, E. I.; McCulloch, R. E., Bayesian CART model search, J. Amer. Statist. Assoc., 93, 443, 935-948 (1998)
[7] Chipman, H. A.; George, E. I.; McCulloch, R. E., BART: Bayesian additive regression trees, Ann. Appl. Stat., 4, 1, 266-298 (2010) · Zbl 1189.62066
[8] Clark, T., Real-time density forecasts from Bayesian vector autoregressions with stochastic volatility, J. Bus. Econom. Statist., 29, 327-341 (2011) · Zbl 1219.91106
[9] Crawford, L.; Flaxman, S.; Runcie, D.; West, M., Variable prioritization in nonlinear black box methods: A genetic association case study, Ann. Appl. Stat., 13, 958-989 (2019) · Zbl 1423.62062
[10] Crawford, L.; Wood, K.; Zhou, X.; Mukherjee, S., Bayesian approximate kernel regression with variable selection, J. Amer. Statist. Assoc., 113, 1710-1721 (2018) · Zbl 1409.62132
[11] Diebold, F. X.; Mariano, R. S., Comparing predictive accuracy, J. Bus. Econom. Statist., 13, 253-263 (1995)
[12] Eraker, B.; Chiu, C.; Foerster, A.; Kim, T.; Seoane, H., Bayesian mixed frequency VARs, J. Financ. Econom., 13, 698-721 (2015)
[13] Frühwirth-Schnatter, S., Data augmentation and dynamic linear models, J. Time Series Anal., 3, 183-202 (1994) · Zbl 0815.62065
[14] Ghysels, E., Macroeconomics and the reality of mixed frequency data, J. Econometrics, 193, 294-314 (2016) · Zbl 1431.62377
[15] Huber, F.; Rossini, L., Inference in Bayesian additive vector autoregressive tree models (2020), https://arxiv.org/abs/2006.16333
[16] Ish-Horowicz, J.; Udwin, D.; Scharfstein, K.; Flaxman, S.; Crawford, L.; Filippi, S., Interpreting deep neural networks through variable importance, J. Mach. Learn. Res., 21, 1-30 (2020)
[17] Kapelner, A.; Bleich, J., Prediction with missing data via Bayesian additive regression trees, Canad. J. Statist., 43, 2, 224-239 (2015) · Zbl 1328.62243
[18] Koop, G.; McIntyre, S.; Mitchell, J.; Poon, A., Regional output growth in the United Kingdom: More timely and higher frequency estimates from 1970, J. Appl. Econometrics, 35, 176-197 (2020)
[19] Lenza, M.; Primiceri, G., How to estimate a VAR after March 2020, NBER Working Paper, 27771 (2020)
[20] Linero, A. R., Bayesian regression trees for high-dimensional prediction and variable selection, J. Amer. Statist. Assoc., 113, 522, 626-636 (2018) · Zbl 1398.62065
[21] Makalic, E.; Schmidt, D. F., A simple sampler for the horseshoe estimator, IEEE Signal Process. Lett., 23, 1, 179-182 (2015)
[22] Mariano, R.; Murasawa, Y., A new coincident index of business cycles based on monthly and quarterly series, J. Appl. Econometrics, 18, 427-443 (2003)
[23] Schorfheide, F.; Song, D., Real-time forecasting with a mixed-frequency VAR, J. Bus. Econom. Statist., 33, 3, 366-380 (2015)
[24] Schorfheide, F.; Song, D., Real-time forecasting with a (standard) mixed-frequency VAR during a pandemic, Federal Reserve Bank of Philadelphia WP, 20-26 (2020)
[25] Tan, Y.; Roy, J., Bayesian additive regression trees and the general BART model (2019), https://arxiv.org/abs/1901.07504
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