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A Bayesian Quantile Time Series Model for Asset Returns

Griffin, JE; Mitrodima, G; (2020) A Bayesian Quantile Time Series Model for Asset Returns. Journal of Business & Economic Statistics 10.1080/07350015.2020.1766470. (In press). Green open access

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Abstract

We consider jointly modeling a finite collection of quantiles over time. Formal Bayesian inference on quantiles is challenging since we need access to both the quantile function and the likelihood. We propose a flexible Bayesian time-varying transformation model, which allows the likelihood and the quantile function to be directly calculated. We derive conditions for stationarity, discuss suitable priors, and describe a Markov chain Monte Carlo algorithm for inference. We illustrate the usefulness of the model for estimation and forecasting on stock, index, and commodity returns.

Type: Article
Title: A Bayesian Quantile Time Series Model for Asset Returns
Open access status: An open access version is available from UCL Discovery
DOI: 10.1080/07350015.2020.1766470
Publisher version: https://doi.org/10.1080/07350015.2020.1766470
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Bayesian nonparametrics, Predictive density, Stationarity, Transformation models
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: https://discovery.ucl.ac.uk/id/eprint/10097063
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