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Bayesian Multivariate Quantile Regression with alternative Time-varying Volatility Specifications

Matteo Iacopini, Francesco Ravazzolo, Luca Rossini

arXiv 29 Nov 2022 · Econometrics · 5 citations (OpenAlex)

arXiv:2211.16121 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This article proposes a novel Bayesian multivariate quantile regression to forecast the tail behavior of energy commodities, where the homoskedasticity assumption is relaxed to allow for time-varying volatility. In particular, we exploit the mixture representation of the multivariate asymmetric Laplace likelihood and the Cholesky-type decomposition of the scale matrix to introduce stochastic volatility and GARCH processes and then provide an efficient MCMC to estimate them. The proposed models outperform the homoskedastic benchmark mainly when predicting the distribution's tails. We provide a model combination using a quantile score-based weighting scheme, which leads to improved performances, notably when no single model uniformly outperforms the other across quantiles, time, or variables.

Citation extraction

35
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48
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distinct cited
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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
1Clark, T. E. and F. Ravazzolo (2015) Macroeconomic forecasting performance under alternative specifications of time-varying volatility1.00053100%
2Aastveit, K. A., S. ter Ellen, and G. Mantoan (2024) Quantile density combination: An application to US GDP forecasts0.73732100%
3Petrella, L. and V. Raponi (2019) Joint estimation of conditional quantiles in multivariate linear regression models with an application to financial distress0.73732100%
4Atchadé, Y. F. and J. S. Rosenthal (2005) On adaptive Markov chain Monte Carlo algorithms0.64422100%
5Bollerslev, T (1986) Generalized autoregressive conditional heteroskedasticity0.64422100%
6Carriero, A., T. E. Clark, and M. Marcellino (2022) Nowcasting tail risk to economic activity at a weekly frequency0.64422100%
7Kotz, S., T. Kozubowski, and K. Podgórski (2001) The Laplace distribution and generalizations: A revisit with applications to communications, economics, engineering, and finance0.64422100%
8Cross, J. L., C. Hou, G. Koop, and A. Poon (2023) Large stochastic volatility in mean vars0.51121100%
9Ando, T. and J. Bai (2020) Quantile co-movement in financial markets: A panel quantile model with unobserved heterogeneity0.40511100%
10Chen, L., J. J. Dolado, and J. Gonzalo (2021) Quantile factor models0.40511100%

Showing the top 10 of 35 scored citations.

Cited by, within the corpus

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

Citing paperIntensityMentionsSections
1Probabilistic Quantile Factor Analysis\@thefnmark\@footnotetextThe authors gratefully acknowledge helpful comments from participants of the 2023 SNDE symposium and the IAAE 2023 in Oslo. This paper should not be reported as representing the views of Norges Bank. The views expressed are those of the authors and do not necessarily reflect those of Norges Bank. The authors report there are no competing interests to declare0.40511