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This paper studies the identification of Structural Vector Autoregressions (SVARs) exploiting a break in the variances of the structural shocks. Point-identification for this class of models relies on an eigen-decomposition involving the…

计量经济学 · 经济学 2026-03-10 Emanuele Bacchiocchi , Andrea Bastianin , Toru Kitagawa , Elisabetta Mirto

One of the important and widely used classes of models for non-Gaussian time series is the generalized autoregressive model average models (GARMA), which specifies an ARMA structure for the conditional mean process of the underlying time…

统计方法学 · 统计学 2021-05-13 Tingguo Zheng , Han Xiao , Rong Chen

Structural causal models (SCMs) are widely used in various disciplines to represent causal relationships among variables in complex systems. Unfortunately, the underlying causal structure is often unknown, and estimating it from data…

机器学习 · 计算机科学 2024-01-17 Tianyu Chen , Kevin Bello , Bryon Aragam , Pradeep Ravikumar

Vector AutoRegressive Moving Average (VARMA) models form a powerful and general model class for analyzing dynamics among multiple time series. While VARMA models encompass the Vector AutoRegressive (VAR) models, their popularity in…

统计方法学 · 统计学 2024-07-01 Marie-Christine Düker , David S. Matteson , Ruey S. Tsay , Ines Wilms

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…

统计方法学 · 统计学 2021-06-09 Ines Wilms , Sumanta Basu , Jacob Bien , David S. Matteson

Causal discovery with latent variables is a crucial but challenging task. Despite the emergence of numerous methods aimed at addressing this challenge, they are not fully identified to the structure that two observed variables are…

机器学习 · 计算机科学 2023-12-20 Wei Chen , Zhiyi Huang , Ruichu Cai , Zhifeng Hao , Kun Zhang

We propose a high-dimensional structural vector autoregression framework with a factor structure in the error terms that accommodates a large number of linear inequality restrictions on both impact impulse responses and structural shocks.…

计量经济学 · 经济学 2026-05-20 Lukas Berend , Jan Prüser

We generalize well-known results on structural identifiability of vector autoregressive models (VAR) to the case where the innovation covariance matrix has reduced rank. Structural singular VAR models appear, for example, as solutions of…

计量经济学 · 经济学 2020-12-08 Bernd Funovits , Alexander Braumann

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

We propose a large structural VAR which is identified by higher moments without the need to impose economically motivated restrictions. The model scales well to higher dimensions, allowing the inclusion of a larger number of variables. We…

计量经济学 · 经济学 2024-12-24 Jan Prüser

We take a new perspective on identification in structural dynamic models: rather than imposing restrictions alone, we optimize an objective. While definitive structural identification ultimately requires exogenous economic insight, a…

计量经济学 · 经济学 2026-04-30 Neville Francis , Peter Reinhard Hansen , Chen Tong

In this paper we construct an inferential procedure for Granger causality in high-dimensional non-stationary vector autoregressive (VAR) models. Our method does not require knowledge of the order of integration of the time series under…

计量经济学 · 经济学 2023-09-18 Alain Hecq , Luca Margaritella , Stephan Smeekes

Structural discovery amongst a set of variables is of interest in both static and dynamic settings. In the presence of lead-lag dependencies in the data, the dynamics of the system can be represented through a structural equation model…

统计方法学 · 统计学 2023-11-28 Jiahe Lin , Huitian Lei , George Michailidis

In the study of complex physical and physiological systems represented by multivariate time series, an issue of great interest is the description of the system dynamics over a range of different temporal scales. While information-theoretic…

We propose a structural vector autoregressive model with a new and flexible specification of the volatility process which we call Sparse Heterogeneous Markov-Switching Heteroskedasticity. In this model, the conditional variance of each…

计量经济学 · 经济学 2026-03-18 Fei Shang , Tomasz Woźniak

We consider the problem of inferring the causal structure from observational data, especially when the structure is sparse. This type of problem is usually formulated as an inference of a directed acyclic graph (DAG) model. The linear…

机器学习 · 统计学 2025-08-21 Kazuharu Harada , Hironori Fujisawa

We propose a novel Bayesian heteroskedastic Markov-switching structural vector autoregression with data-driven time-varying identification. The model selects among alternative patterns of exclusion restrictions to identify structural shocks…

计量经济学 · 经济学 2025-02-28 Annika Camehl , Tomasz Woźniak

In this paper, we propose a novel variable selection approach in the framework of sparse high-dimensional GLARMA models. It consists in combining the estimation of the autoregressive moving average (ARMA) coefficients of these models with…

统计理论 · 数学 2019-10-14 Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

统计理论 · 数学 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

Dynamic inference problems in autoregressive (AR/ARMA/ARIMA), exponential smoothing, and navigation are often formulated and solved using state-space models (SSM), which allow a range of statistical distributions to inform innovations and…

最优化与控制 · 数学 2019-10-31 Jonathan Jonker , Peng Zheng , Aleksandr Y. Aravkin