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High-dimensional vector autoregressive (VAR) models provide a flexible framework for characterizing dynamic dependence in multivariate spatio-temporal systems, but their unrestricted estimation becomes infeasible when multiple variables are…

统计方法学 · 统计学 2026-05-04 Peiliang Bai

While seasonality inherent to raw macroeconomic data is commonly removed by seasonal adjustment techniques before it is used for structural inference, this may distort valuable information in the data. As an alternative method to commonly…

计量经济学 · 经济学 2025-08-12 Daniel Dzikowski , Carsten Jentsch

As a special infinite-order vector autoregressive (VAR) model, the vector autoregressive moving average (VARMA) model can capture much richer temporal patterns than the widely used finite-order VAR model. However, its practicality has long…

统计方法学 · 统计学 2024-02-27 Yao Zheng

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…

计量经济学 · 经济学 2021-05-25 Sune Karlsson , Stepan Mazur , Hoang Nguyen

Jointly modeling and forecasting economic and financial variables across a large set of countries has long been a significant challenge. Two primary approaches have been utilized to address this issue: the vector autoregressive model with…

机器学习 · 统计学 2025-03-12 Sanyou Wu , Dan Yang , Yan Xu , Long Feng

The vector autoregression (VAR) has been widely used in system identification, econometrics, natural science, and many other areas. However, when the state dimension becomes large the parameter dimension explodes. So rank reduced modelling…

统计方法学 · 统计学 2024-10-04 Xinhui Rong , Victor Solo

We propose a novel variational Bayes approach to estimate high-dimensional vector autoregression (VAR) models with hierarchical shrinkage priors. Our approach does not rely on a conventional structural VAR representation of the parameter…

计量经济学 · 经济学 2023-07-03 Mauro Bernardi , Daniele Bianchi , Nicolas Bianco

Vector autoregressive (VAR) models assume linearity between the endogenous variables and their lags. This assumption might be overly restrictive and could have a deleterious impact on forecasting accuracy. As a solution, we propose…

计量经济学 · 经济学 2021-03-10 Florian Huber , Luca Rossini

Time series of individual subjects have become a common data type in psychological research. These data allow one to estimate models of within-subject dynamics, and thereby avoid the notorious problem of making within-subjects inferences…

应用统计 · 统计学 2020-03-16 Jonas M B Haslbeck , Laura F Bringmann , Lourens J Waldorp

Under a high-dimensional vector autoregressive (VAR) model, we propose a way of efficiently estimating both the stationary graph structure between the nodal time series and their temporal dynamics. The framework is then used to make…

统计方法学 · 统计学 2025-04-01 Arkaprava Roy , Anindya Roy , Subhashis Ghosal

The vector autoregressive (VAR) model has been widely used for modeling temporal dependence in a multivariate time series. For large (and even moderate) dimensions, the number of AR coefficients can be prohibitively large, resulting in…

应用统计 · 统计学 2013-10-21 Richard A. Davis , Pengfei Zang , Tian Zheng

Complex systems, such as brains, markets, and societies, exhibit internal dynamics influenced by external factors. Disentangling delayed external effects from internal dynamics within these systems is often challenging. We propose using a…

统计方法学 · 统计学 2024-07-02 Lucas C. Parra , Aimar Silvan Ortubay , Maximilian Nentwich , Jens Madsen , Behtash Babadi

High dimensional Vector Autoregressions (VAR) have received a lot of interest recently due to novel applications in health, engineering, finance and the social sciences. Three issues arise when analyzing VAR's: (a) The high dimensional…

统计理论 · 数学 2022-11-15 Sagnik Halder , George Michailidis

While considerable advances have been made in estimating high-dimensional structured models from independent data using Lasso-type models, limited progress has been made for settings when the samples are dependent. We consider estimating…

统计理论 · 数学 2016-03-01 Igor Melnyk , Arindam Banerjee

We discuss the issue of estimating large-scale vector autoregressive (VAR) models with stochastic volatility in real-time situations where data are sampled at different frequencies. In the case of a large VAR with stochastic volatility, the…

计量经济学 · 经济学 2019-12-06 Sebastian Ankargren , Paulina Jonéus

High-dimensional vector autoregressive (VAR) models have numerous applications in fields such as econometrics, biology, climatology, among others. While prior research has mainly focused on linear VAR models, these approaches can be…

统计理论 · 数学 2025-11-25 Yuefeng Han , Likai Chen , Wei Biao Wu

How best to model structurally heterogeneous processes is a foundational question in the social, health and behavioral sciences. Recently, Fisher et al., (2022) introduced the multi-VAR approach for simultaneously estimating…

One popular approach for nonstructural economic and financial forecasting is to include a large number of economic and financial variables, which has been shown to lead to significant improvements for forecasting, for example, by the…

机器学习 · 统计学 2011-06-21 Song Song , Peter J. Bickel

We propose a vector auto-regressive (VAR) model with a low-rank constraint on the transition matrix. This new model is well suited to predict high-dimensional series that are highly correlated, or that are driven by a small number of hidden…

统计理论 · 数学 2022-01-17 Pierre Alquier , Karine Bertin , Paul Doukhan , Rémy Garnier

Structural vector autoregressive (SVAR) models are widely used to analyze the simultaneous relationships between multiple time-dependent data. Various statistical inference methods have been studied to overcome the identification problems…

计量经济学 · 经济学 2025-03-18 Masato Shimokawa , Kou Fujimori