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A comprehensive methodology for inference in vector autoregressions (VARs) using sign and other structural restrictions is developed. The reduced-form VAR disturbances are driven by a few common factors and structural identification…

Econometrics · Economics 2022-06-15 Dimitris Korobilis

There is a fast growing literature that set-identifies structural vector autoregressions (SVARs) by imposing sign restrictions on the responses of a subset of the endogenous variables to a particular structural shock (sign-restricted…

Econometrics · Economics 2018-02-08 Eleonora Granziera , Hyungsik Roger Moon , Frank Schorfheide

We propose a new approach to inference in tightly identified and large-scale structural vector autoregressions based on a reparameterization that enables imposing identifying inequality restrictions through continuously differentiable…

Econometrics · Economics 2026-05-22 Markku Lanne , Jani Luoto , Adam Rybarczyk

We propose algorithms for conducting Bayesian inference in structural vector autoregressions identified using sign restrictions. The key feature of our approach is a sampling step based on 'soft' sign restrictions. This step draws from a…

Econometrics · Economics 2026-03-31 Matthew Read , Dan Zhu

In this paper we propose a class of structural vector autoregressions (SVARs) characterized by structural breaks (SVAR-WB). Together with standard restrictions on the parameters and on functions of them, we also consider constraints across…

Econometrics · Economics 2026-03-10 Emanuele Bacchiocchi , Toru Kitagawa

We develop a new algorithm for inference in structural vector autoregressions (SVARs) identified with sign restrictions that can accommodate big data and modern identification schemes. The key innovation of our approach is to move beyond…

Econometrics · Economics 2026-04-13 Jonas E. Arias , Juan F. Rubio-Ramírez , Daniel Rudolf , Minchul Shin

We consider structural vector autoregressions subject to 'narrative restrictions', which are inequality restrictions on functions of the structural shocks in specific periods. These restrictions raise novel problems related to…

Econometrics · Economics 2021-02-15 Raffaella Giacomini , Toru Kitagawa , Matthew Read

In this study, Bayesian inference is developed for structural vector autoregressive models in which the structural parameters are identified via Markov-switching heteroskedasticity. In such a model, restrictions that are just-identifying in…

Econometrics · Economics 2023-11-13 Helmut Lütkepohl , Tomasz Woźniak

Vector autoregressions (VARs) with multivariate stochastic volatility are widely used for structural analysis. Often the structural model identified through economically meaningful restrictions--e.g., sign restrictions--is supposed to be…

Econometrics · Economics 2022-07-11 Joshua Chan , Eric Eisenstat , Xuewen Yu

This study proposes a combination of a statistical identification approach with potentially invalid short-run zero restrictions. The estimator shrinks towards imposed restrictions and stops shrinkage when the data provide evidence against a…

Econometrics · Economics 2024-04-04 Sascha A. Keweloh

This paper studies the sparse identification problem of unknown sparse parameter vectors in stochastic dynamic systems. Firstly, a novel sparse identification algorithm is proposed, which can generate sparse estimates based on least squares…

Optimization and Control · Mathematics 2024-04-02 Ziming Wang , Xinghua Zhu

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.…

Econometrics · Economics 2026-05-20 Lukas Berend , Jan Prüser

Symbolic Regression (SR) can generate interpretable, concise expressions that fit a given dataset, allowing for more human understanding of the structure than black-box approaches. The addition of background knowledge (in the form of…

Machine Learning · Computer Science 2023-05-05 Charles Fox , Neil Tran , Nikki Nacion , Samiha Sharlin , Tyler R. Josephson

Nonignorable missing outcomes are common in real world datasets and often require strong parametric assumptions to achieve identification. These assumptions can be implausible or untestable, and so we may forgo them in favour of partially…

Methodology · Statistics 2023-10-19 Daniel Daly-Grafstein , Paul Gustafson

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…

Econometrics · Economics 2025-03-18 Masato Shimokawa , Kou Fujimori

Domain knowledge is useful to improve the generalization performance of learning machines. Sign constraints are a handy representation to combine domain knowledge with learning machine. In this paper, we consider constraining the signs of…

Machine Learning · Computer Science 2022-10-12 Kenya Tajima , Takahiko Henmi , Kohei Tsuchida , Esmeraldo Ronnie R. Zara , Tsuyoshi Kato

Many regularization schemes for high-dimensional regression have been put forward. Most require the choice of a tuning parameter, using model selection criteria or cross-validation schemes. We show that a simple non-negative or…

Methodology · Statistics 2012-02-07 Nicolai Meinshausen

This paper develops a framework for robust identification in SVARs when researchers face a zoo of proxy variables. Instead of imposing exact exogeneity, we introduce generalized ranking restrictions (GRR) that bound the relative correlation…

Econometrics · Economics 2026-01-19 Jiaming Huang , Luca Neri

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

We propose an easily implementable test of the validity of a set of theoretical restrictions on the relationship between economic variables, which do not necessarily identify the data generating process. The restrictions can be derived from…

Econometrics · Economics 2021-02-09 Alfred Galichon , Marc Henry
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