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A Design Concept of Forecasting Software for Normalized Vector Autoregressions with Fat Tails and Stochastic Volatility

Fei Shang, Xiaolei Wang, Tomasz Woźniak

arXiv 28 Aug 2026 · Econometrics

arXiv:2608.28087 · PDF · Extracted main text

Abstract

We present a suite of R packages for macroeconomic forecasting that leverages advanced Bayesian, structural, multivariate, dynamic, hierarchical, non-linear, and non-Gaussian models. The suite enables both structural and predictive analyses, and is adapted to time series data across various types, dimensions, and sampling frequencies. Each additional feature increases computational complexity. To address this challenge, our software design incorporates a carefully curated selection of models, efficient algorithms implemented in C++, advanced econometric and numerical methods, robust handling of complex input and output objects, and standardised workflows. This approach combines the computational efficiency of C++ with the convenience of working with data in R. We demonstrate that our packages facilitate original research contributions in forecasting, as illustrated by our example in which vector autoregressions with non-centred stochastic volatility enhance density and point predictions relative to models with centred stochastic volatility.

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38
references
71
in-text mentions
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distinct cited
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main-text words

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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
1Helmut Lütkepohl and Fei Shang and Luis Uzeda and Tomasz Woźniak (2026) Partial Identification of Structural Vector Autoregressions with Non-centred Stochastic Volatility self1.00084100%
2Chan, Joshua CC (2020) Large Bayesian VARs: A Flexible Kronecker Error Covariance Structure1.00074100%
3Giannone, Domenico and Lenza, Michele and Primiceri, Giorgio E (2015) Prior Selection for Vector Autoregressions0.92844100%
4Chan, Joshua C. C. and Koop, Gary and Yu, Xuewen Large Order-Invariant Bayesian VARs with Stochastic Volatility0.81142100%
5Lenza, Michele and Primiceri, Giorgio E (2022) How to estimate a vector autoregression after March 20200.81142100%
6Clark, Todd E (2011) Real-time density forecasts from Bayesian vector autoregressions with stochastic volatility0.73732100%
7Carriero, Andrea and Clark, Todd E. and Marcellino, Massimiliano (2016) Common Drifting Volatility in Large Bayesian VARs0.73732100%
8Xiaolei Wang and Tomasz Woźniak (2025) Bayesian Analyses of Structural Vector Autoregressions with Sign, Zero, and Narrative Restrictions Using the R Package bsvarSIGNs self0.64422100%
9Tomasz Woźniak (2025) Fast and Efficient Bayesian Analysis of Structural Vector Autoregressions Using the R Package bsvars0.64422100%
10Chiu, Ching-Wai (Jeremy) and Mumtaz, Haroon and Pintér, Gábor Forecasting with VAR Models: Fat Tails and Stochastic Volatility0.64422100%

Showing the top 10 of 38 scored citations.