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Modeling the time-varying covariance structures of high-dimensional variables is critical across diverse scientific and industrial applications; however, existing approaches exhibit notable limitations in either modeling flexibility or…

Methodology · Statistics 2026-01-21 Taehee Lee , Jun S. Liu

Panel Vector Autoregressions (PVARs) are a popular tool for analyzing multi-country datasets. However, the number of estimated parameters can be enormous, leading to computational and statistical issues. In this paper, we develop fast…

Econometrics · Economics 2022-02-10 Martin Feldkircher , Florian Huber , Gary Koop , Michael Pfarrhofer

This paper aims to decompose a large dimensional vector autoregessive (VAR) model into two components, the first one being generated by a small-scale VAR and the second one being a white noise sequence. Hence, a reduced number of common…

Econometrics · Economics 2022-02-22 Gianluca Cubadda , Alain Hecq

With uncertain changes of the economic environment, macroeconomic downturns during recessions and crises can hardly be explained by a Gaussian structural shock. There is evidence that the distribution of macroeconomic variables is skewed…

Econometrics · Economics 2021-05-25 Sune Karlsson , Stepan Mazur , Hoang Nguyen

The Vector AutoRegressive Moving Average (VARMA) model is fundamental to the theory of multivariate time series; however, identifiability issues have led practitioners to abandon it in favor of the simpler but more restrictive Vector…

Methodology · Statistics 2021-06-09 Ines Wilms , Sumanta Basu , Jacob Bien , David S. Matteson

The vector autoregression (VAR) has long proven to be an effective method for modeling the joint dynamics of macroeconomic time series as well as forecasting. A major shortcoming of the VAR that has hindered its applicability is its heavy…

Applications · Statistics 2017-02-28 William Nicholson , David Matteson , Jacob Bien

The Vector AutoRegressive (VAR) model is fundamental to the study of multivariate time series. Although VAR models are intensively investigated by many researchers, practitioners often show more interest in analyzing VARX models that…

Machine Learning · Statistics 2017-11-13 Ines Wilms , Sumanta Basu , Jacob Bien , David S. Matteson

This study introduces Variational Automatic Relevance Determination (VARD), a novel approach tailored for fitting sparse additive regression models in high-dimensional settings. VARD distinguishes itself by its ability to independently…

Methodology · Statistics 2024-11-04 Zihe Liu , Diptarka Saha , Feng Liang

Vector autoregressions (VARs) are popular model for analyzing multivariate economic time series. However, VARs can be over-parameterized if the numbers of variables and lags are moderately large. Tensor VAR, a recent solution to…

Methodology · Statistics 2024-09-13 Yiyong Luo , Jim E. Griffin

Maximum likelihood estimation of large Markov-switching vector autoregressions (MS-VARs) can be challenging or infeasible due to parameter proliferation. To accommodate situations where dimensionality may be of comparable order to or…

Econometrics · Economics 2021-07-28 Kenwin Maung

I introduce a high-dimensional Bayesian vector autoregressive (BVAR) framework designed to estimate the effects of conventional monetary policy shocks. The model captures structural shocks as latent factors, enabling computationally…

Econometrics · Economics 2025-05-13 Dimitris Korobilis

We develop a non-parametric multivariate time series model that remains agnostic on the precise relationship between a (possibly) large set of macroeconomic time series and their lagged values. The main building block of our model is a…

Econometrics · Economics 2022-11-07 Niko Hauzenberger , Florian Huber , Massimiliano Marcellino , Nico Petz

A Vector Auto-Regressive (VAR) model is commonly used to model multivariate time series, and there are many penalized methods to handle high dimensionality. However in terms of spatio-temporal data, most methods do not take the spatial and…

Methodology · Statistics 2020-12-21 Zhenzhong Wang , Abolfazl Safikhani , Zhengyuan Zhu , David S. Matteson

The steady-state Bayesian vector autoregression (BVAR) makes it possible to incorporate prior information about the long-run mean of the process. This has been shown in many studies to substantially improve forecasting performance, and the…

Computation · Statistics 2025-06-12 Oskar Gustafsson , Mattias Villani

Advances in sensing technology have made it possible to collect large volumes of high-dimensional time-series data. In fields like genetics and neuroscience, key questions concern whether directed relationships between variables can be…

Methodology · Statistics 2026-05-08 Sarah E. Heaps , Ian H. Jermyn , Yujiang Wang , Darren J. Wilkinson

In all areas of human knowledge, datasets are increasing in both size and complexity, creating the need for richer statistical models. This trend is also true for economic data, where high-dimensional and nonlinear/nonparametric inference…

Econometrics · Economics 2021-12-23 Dimitris Korobilis , Kenichi Shimizu

There has been an intense development on the estimation of a sparse regression coefficient vector in statistics, machine learning and related fields. In this paper, we focus on the Bayesian approach to this problem, where sparsity is…

Computation · Statistics 2016-02-25 Xichen Huang , Jin Wang , Feng Liang

A threshold autoregressive (TAR) model is a powerful tool for analyzing nonlinear multivariate time series, which includes special cases like self-exciting threshold autoregressive (SETAR) models and vector autoregressive (VAR) models. In…

Methodology · Statistics 2025-03-07 L. H. Vanegas , S. A. Calderón , L. M. Rondón

Many popular specifications for Vector Autoregressions (VARs) with multivariate stochastic volatility are not invariant to the way the variables are ordered due to the use of a Cholesky decomposition for the error covariance matrix. We show…

Econometrics · Economics 2021-11-16 Joshua C. C. Chan , Gary Koop , Xuewen Yu

Estimation and prediction in high dimensional multivariate factor stochastic volatility models is an important and active research area because such models allow a parsimonious representation of multivariate stochastic volatility. Bayesian…

Computation · Statistics 2021-04-27 David Gunawan , Robert Kohn , David Nott