Bayesian Analysis of High Dimensional Vector Error Correction Model
Abstract: Vector Error Correction Model (VECM) is a classic method to analyse cointegration relationships amongst multivariate non-stationary time series. In this paper, we focus on high dimensional setting and seek for sample-size-efficient methodology to determine the level of cointegration. Our investigation centres at a Bayesian approach to analyse the cointegration matrix, henceforth determining the cointegration rank. We design two algorithms and implement them on simulated examples, yielding promising results particularly when dealing with high number of variables and relatively low number of observations. Furthermore, we extend this methodology to empirically investigate the constituents of the S&P 500 index, where low-volatility portfolios can be found during both in-sample training and out-of-sample testing periods.
- Ray Bai, Veronika Rockova and Edward I George “Spike-and-slab meets lasso: A review of the spike-and-slab lasso” In Handbook of Bayesian Variable Selection ChapmanHall, 2021, pp. 81–108
- “Large Spillover Networks of Nonstationary Systems” In Journal of Business & Economic Statistics Taylor & Francis, 2022, pp. 1–37 DOI: 10.1080/07350015.2022.2099870
- Robert F. Engle and C. W. J. Granger “Co-Integration and Error Correction: Representation, Estimation, and Testing” In Econometrica 55.2 [Wiley, Econometric Society], 1987, pp. 251–276
- Søren Johansen “Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models” In Econometrica 59.6 [Wiley, Econometric Society], 1991, pp. 1551–1580
- “Determination of vector error correction models in high dimensions” In Journal of econometrics 208.2 Elsevier, 2019, pp. 418–441
- Veronika Rockova “Bayesian estimation of sparse signals with a continuous spike-and-slab prior” In The Annals of Statistics 46.1 Institute of Mathematical Statistics, 2018, pp. 401 –437 DOI: 10.1214/17-AOS1554
- Veronika Rockova and Edward I. George “Bayesian penalty mixing: The case of a non-separable penalty” In Statistical Analysis for High-Dimensional Data Springer, 2016, pp. 233–254
- Veronika Rockova and Edward I. George “The Spike-and-Slab LASSO” In Journal of the American Statistical Association 113.521 Taylor & Francis, 2018, pp. 431–444
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