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Conditional Forecasts in Large Bayesian VARs with Multiple Equality and Inequality Constraints

Joshua C. C. Chan, Davide Pettenuzzo, Aubrey Poon, Dan Zhu

arXiv 2 Jul 2024 · Econometrics · publishedJournal of Economic Dynamics and Control (2025) · 2 citations (OpenAlex)

arXiv:2407.02262 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Conditional forecasts, i.e. projections of a set of variables of interest on the future paths of some other variables, are used routinely by empirical macroeconomists in a number of applied settings. In spite of this, the existing algorithms used to generate conditional forecasts tend to be very computationally intensive, especially when working with large Vector Autoregressions or when multiple linear equality and inequality constraints are imposed at once. We introduce a novel precision-based sampler that is fast, scales well, and yields conditional forecasts from linear equality and inequality constraints. We show in a simulation study that the proposed method produces forecasts that are identical to those from the existing algorithms but in a fraction of the time. We then illustrate the performance of our method in a large Bayesian Vector Autoregression where we simultaneously impose a mix of linear equality and inequality constraints on the future trajectories of key US macroeconomic indicators over the 2020--2022 period.

Citation extraction

26
references
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in-text mentions
28
distinct cited
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main-text words

appendix boundary found by appendix_command · 96% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Waggoner and Zha (1999) Conditional forecasts in dynamic multivariate models1.000304100%
2Antolín-Díaz, Petrella, and Rubio-Ramírez (2021) Structural scenario analysis with SVARs1.000294100%
3Andersson, Palmqvist, and Waggoner (2010) Density-conditional forecasts in dynamic multivariate models1.000193100%
4Bańbura, Giannone, and Lenza (2015) Conditional forecasts and scenario analysis with vector autoregressions for large cross-sections1.000113100%
5Crump, Eusepi, Giannone, Qian, and Sbordone (2021) A Large Bayesian VAR of the United States Economy0.96911391%
6Chan and Jeliazkov (2009) Efficient simulation and integrated likelihood estimation in state space models self0.87462100%
7Botev (2017) The normal law under linear restrictions: simulation and estimation via minimax tilting0.87452100%
8Geweke (1996) Bayesian inference for linear models subject to linear inequality constraints0.73732100%
9Baumeister and Kilian (2014) Real-time analysis of oil price risks using forecast scenarios0.64422100%
CPZ23unmatched citation key CPZ230.64422100%

Showing the top 10 of 28 scored citations. 1 of these could not be matched to a bibliography entry, so only the citation key is shown.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Taking the Highway or the Green Road? Conditional Temperature Forecasts Under Alternative SSP Scenarios1.00063
2RoyalBlue4 Decision Synthesis in Monetary Policy0.51132