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Improved density forecasts using mixed frequency data:A Bayesian approach

Journal articles  - Journal Article
Loaiza-Maya, R; Maneesoonthorn, W; Patton, AJ
Published in: Journal of Econometrics
January 1, 2026

We construct a modeling framework that allows for the flexible contribution of intraday information to predict the conditional distribution of asset returns. A flexible spline specification is proposed to capture the contribution of intraday returns inside GARCH and stochastic volatility specifications for daily returns. The “focused Bayesian” prediction framework is adopted to allow the intraday contribution to the simpler GARCH specification to be trained according to the region of the support that is of interest. An empirical analysis of three broad market indices and ten industrial indices demonstrates the gains from using (i) high-frequency data, (ii) incorporated flexibly into the low-frequency model, and (iii) simpler specifications estimated using a focused Bayes approach.

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Published In

Journal of Econometrics

DOI

EISSN

1872-6895

ISSN

0304-4076

Publication Date

January 1, 2026

Related Subject Headings

  • Econometrics
  • 4905 Statistics
  • 3802 Econometrics
  • 3801 Applied economics
 

Citation

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Loaiza-Maya, R., Maneesoonthorn, W., & Patton, A. J. (2026). Improved density forecasts using mixed frequency data:A Bayesian approach. Journal of Econometrics. https://doi.org/10.1016/j.jeconom.2026.106257
Loaiza-Maya, R., W. Maneesoonthorn, and A. J. Patton. “Improved density forecasts using mixed frequency data:A Bayesian approach.” Journal of Econometrics, January 1, 2026. https://doi.org/10.1016/j.jeconom.2026.106257.
Loaiza-Maya R, Maneesoonthorn W, Patton AJ. Improved density forecasts using mixed frequency data:A Bayesian approach. Journal of Econometrics. 2026 Jan 1;
Loaiza-Maya, R., et al. “Improved density forecasts using mixed frequency data:A Bayesian approach.” Journal of Econometrics, Jan. 2026. Scopus, doi:10.1016/j.jeconom.2026.106257.
Loaiza-Maya R, Maneesoonthorn W, Patton AJ. Improved density forecasts using mixed frequency data:A Bayesian approach. Journal of Econometrics. 2026 Jan 1;
Journal cover image

Published In

Journal of Econometrics

DOI

EISSN

1872-6895

ISSN

0304-4076

Publication Date

January 1, 2026

Related Subject Headings

  • Econometrics
  • 4905 Statistics
  • 3802 Econometrics
  • 3801 Applied economics