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Time-Varying Parameter Vector Autoregressions: Specification, Estimation, and an Application

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Abstract

Time-varying parameter vector autoregressions (TVP-VARs) have become a popular tool to study the dynamics of macroeconomic time series. In this article, we discuss the specification and estimation of this class of models with a focus on implementability. We provide a step-by-step guide for researchers interested in utilizing this methodology in their own research. Specifically, we discuss how to use Bayesian Gibbs-sampling techniques to easily conduct inference.

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  • Thomas A. Lubik & Christian Matthes, 2015. "Time-Varying Parameter Vector Autoregressions: Specification, Estimation, and an Application," Economic Quarterly, Federal Reserve Bank of Richmond, issue 4Q, pages 323-352.
    • Handle: RePEc:fip:fedreq:00040
    DOI: 10.21144/eq1010403
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    Cited by:

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    3. Thomas A. Lubik & Christian Matthes & Andrew Owens, 2016. "Beveridge Curve Shifts and Time-Varying Parameter VARs," Economic Quarterly, Federal Reserve Bank of Richmond, issue 3Q, pages 197-226.
    4. Hess T. Chung & Etienne Gagnon & Taisuke Nakata & Matthias Paustian & Bernd Schlusche & James Trevino & Diego Vilán & Wei Zheng, 2019. "Monetary Policy Options at the Effective Lower Bound : Assessing the Federal Reserve's Current Policy Toolkit," Finance and Economics Discussion Series 2019-003, Board of Governors of the Federal Reserve System (U.S.).
    5. Joshua C.C. Chan & Rodney W. Strachan, 2023. "Bayesian State Space Models In Macroeconometrics," Journal of Economic Surveys, Wiley Blackwell, vol. 37(1), pages 58-75, February.
    6. Marcin Pietrzak, 2023. "What can monetary policy tell us about Bitcoin?," Annals of Finance, Springer, vol. 19(4), pages 545-559, December.
    7. Papież, Monika & Rubaszek, Michał & Szafranek, Karol & Śmiech, Sławomir, 2022. "Are European natural gas markets connected? A time-varying spillovers analysis," Resources Policy, Elsevier, vol. 79(C).
    8. Anouar Chaouch & Salim Ben Sassi, 2025. "Interconnectedness of Stock Indices in African Economies Under Financial, Health, and Political Crises," JRFM, MDPI, vol. 18(5), pages 1-33, April.
    9. Casalis, André & Krustev, Georgi, 2022. "Cyclical drivers of euro area consumption: What can we learn from durable goods?," Journal of International Money and Finance, Elsevier, vol. 120(C).
    10. Taylor, Alan M. & Davis, Josh & Fuenzalida, Cristian, 2019. "The Natural Rate Puzzle: Global Macro Trends and the Market-Implied r," CEPR Discussion Papers 14201, C.E.P.R. Discussion Papers.
    11. Li, Hong & Shi, Yanlin, 2021. "A new unique information share measure with applications on cross-listed Chinese banks," Journal of Banking & Finance, Elsevier, vol. 128(C).
    12. Esmaeili, Parisa & Rafei, Meysam, 2021. "Dynamics analysis of factors affecting electricity consumption fluctuations based on economic conditions: Application of SVAR and TVP-VAR models," Energy, Elsevier, vol. 226(C).
    13. Szafranek, Karol & Papież, Monika & Rubaszek, Michał & Śmiech, Sławomir, 2023. "How immune is the connectedness of European natural gas markets to exceptional shocks?," Resources Policy, Elsevier, vol. 85(PA).
    14. Legrand, Romain, 2018. "Time-Varying Vector Autoregressions: Efficient Estimation, Random Inertia and Random Mean," MPRA Paper 88925, University Library of Munich, Germany.
    15. Luigi Infante & Francesca Lilla & Francesco Vercelli, 2023. "The effects of the pandemic on households' financial savings: a Bayesian structural VAR analysis," Temi di discussione (Economic working papers) 1421, Bank of Italy, Economic Research and International Relations Area.
    16. Davis, Josh & Fuenzalida, Cristian & Huetsch, Leon & Mills, Benjamin & Taylor, Alan M., 2024. "Global natural rates in the long run: Postwar macro trends and the market-implied r∗ in 10 advanced economies," Journal of International Economics, Elsevier, vol. 149(C).
    17. Lombardi, Domenico & Siklos, Pierre L. & Xie, Xiangyou, 2018. "Monetary policy transmission in systemically important economies and China’s impact," Journal of Asian Economics, Elsevier, vol. 59(C), pages 61-79.

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