Some recent developments in Markov Chain Monte Carlo for cointegrated time series
ESAIM. Proceedings, Tome 59 (2017), pp. 76-103
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We consider multivariate time series that exhibit reduced rank cointegration, which means a lower dimensional linear projection of the process becomes stationary. We will review recent suitable Markov Chain Monte Carlo approaches for Bayesian inference such as the Gibbs sampler of [41] and the Geodesic Hamiltonian Monte Carlo method of [3]. Then we will propose extensions that can allow the ideas in both methods to be applied for cointegrated time series with non-Gaussian noise. We illustrate the efficiency and accuracy of these extensions using appropriate numerical experiments.
Affiliations des auteurs :
Maciej Marowka 1 ; Gareth W. Peters 2 ; Nikolas Kantas 1 ; Guillaume Bagnarosa 3
@article{EP_2017_59_a5,
author = {Maciej Marowka and Gareth W. Peters and Nikolas Kantas and Guillaume Bagnarosa},
title = {Some recent developments in {Markov} {Chain} {Monte} {Carlo} for cointegrated time series},
journal = {ESAIM. Proceedings},
pages = {76--103},
year = {2017},
volume = {59},
doi = {10.1051/proc/201759076},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201759076/}
}
TY - JOUR AU - Maciej Marowka AU - Gareth W. Peters AU - Nikolas Kantas AU - Guillaume Bagnarosa TI - Some recent developments in Markov Chain Monte Carlo for cointegrated time series JO - ESAIM. Proceedings PY - 2017 SP - 76 EP - 103 VL - 59 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201759076/ DO - 10.1051/proc/201759076 LA - en ID - EP_2017_59_a5 ER -
%0 Journal Article %A Maciej Marowka %A Gareth W. Peters %A Nikolas Kantas %A Guillaume Bagnarosa %T Some recent developments in Markov Chain Monte Carlo for cointegrated time series %J ESAIM. Proceedings %D 2017 %P 76-103 %V 59 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201759076/ %R 10.1051/proc/201759076 %G en %F EP_2017_59_a5
Maciej Marowka; Gareth W. Peters; Nikolas Kantas; Guillaume Bagnarosa. Some recent developments in Markov Chain Monte Carlo for cointegrated time series. ESAIM. Proceedings, Tome 59 (2017), pp. 76-103. doi: 10.1051/proc/201759076
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