2020
DOI: 10.1080/07350015.2020.1766470
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A Bayesian Quantile Time Series Model for Asset Returns

Abstract: We consider jointly modelling 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… Show more

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Cited by 5 publications
(4 citation statements)
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“…They provide tools for inference that are robust to the existence of moments and to the form of weak cross-sectional dependence in the idiosyncratic error term. Griffin and Mitrodima (2022) consider jointly modeling a finite collection of quantiles over time. They propose a flexible Bayesian time-varying transformation model, which allows the likelihood and the quantile function to be directly calculated.…”
Section: Quantile Regressionbased Asset Pricingmentioning
confidence: 99%
See 1 more Smart Citation
“…They provide tools for inference that are robust to the existence of moments and to the form of weak cross-sectional dependence in the idiosyncratic error term. Griffin and Mitrodima (2022) consider jointly modeling a finite collection of quantiles over time. They propose a flexible Bayesian time-varying transformation model, which allows the likelihood and the quantile function to be directly calculated.…”
Section: Quantile Regressionbased Asset Pricingmentioning
confidence: 99%
“…Griffin and Mitrodima (2022) consider jointly modeling a finite collection of quantiles over time. They propose a flexible Bayesian time-varying transformation model, which allows the likelihood and the quantile function to be directly calculated.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Summarising the results of a comprehensive comparison of different models, data and transformations,Faust and Wright (2013) argue that a basic principle in forecasting inflation is to allow for its local mean to be smoothly varying over time, and an obvious way of doing this is via time-varying parameters(Stock and Watson, 2007).2 For related Bayesian modeling approaches, seeGerlach et al (2011),Griffin andMitrodima (2020) andPfarrhofer (2021).ECB Working Paper Series No 2600 / October 2021…”
mentioning
confidence: 99%
“…A variety of quantile regression applications can be found inBuchinsky (1994),Koenker and Hallock (2001),Engle and Manganelli (2004),Koenker (2005),White et al (2015),Koenker (2017),Kiley (2018), Escanciano and Hualde (2020),Griffin and Mitrodima (2020) andSong and Taamouti (2020).ECB Working Paper Series No 2436 / July 2020…”
mentioning
confidence: 99%