2021
DOI: 10.1515/snde-2020-0099
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Multivariate Markov-switching score-driven models: an application to the global crude oil market

Abstract: A new class of multivariate nonlinear quasi-vector autoregressive (QVAR) models is introduced. It is a Markov switching score-driven model with stochastic seasonality for the multivariate t-distribution (MS-Seasonal-t-QVAR). As an extension, we allow for the possibility of having common-trends and nonlinear co-integration. Score-driven nonlinear updates of local level and seasonality are used, which are robust to outliers within each regime. We show that VAR integrated moving average (VARIMA) type filters are … Show more

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Cited by 11 publications
(4 citation statements)
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“…the asymptotical consistency of the proposed two-step procedure of Blazsek, Escribano, and Licht (2020) for conditional copulas. The EM algorithm of Figueroa-Zúñiga, Niklitschek-Soto, Leiva, and Liu ( 2022) is modified in this study to estimate the dependence parameters subject to both the GAS dynamic and the Markovian structure.…”
Section: A Novel Approach To Estimate Ms-gas Modelmentioning
confidence: 98%
“…the asymptotical consistency of the proposed two-step procedure of Blazsek, Escribano, and Licht (2020) for conditional copulas. The EM algorithm of Figueroa-Zúñiga, Niklitschek-Soto, Leiva, and Liu ( 2022) is modified in this study to estimate the dependence parameters subject to both the GAS dynamic and the Markovian structure.…”
Section: A Novel Approach To Estimate Ms-gas Modelmentioning
confidence: 98%
“…For technical details on the statistical inference of score-driven models, we refer to the works of Harvey and Chakravarty (2008), Harvey (2013), Creal et al (2008Creal et al ( , 2011Creal et al ( , 2013, and Blasques et al (2021). For the multivariate score-driven models (such as the score-driven ice-age models), we also refer to the recent works of Blazsek et al (2020Blazsek et al ( , 2021aBlazsek et al ( , 2021b.…”
Section: Score-driven Homoskedastic Ice-age Modelmentioning
confidence: 99%
“…In the work of Creal et al (2014), the score-driven t-QVARMA model is introduced for I(0) variables. In the recent works of Blazsek, Escribano, and Licht (2020, 2021a, 2021b, the statistical performance of t-QVARMA is studied and the model is extended to combinations of I(0) and co-integrated I(1) variables, which are further extended in the present work to include exogenous explanatory variables.…”
Section: Score-driven Time Series Modelsmentioning
confidence: 99%