2019
DOI: 10.1016/j.ijforecast.2018.08.002
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Representation, estimation and forecasting of the multivariate index-augmented autoregressive model

Abstract: We examine the conditions under which each individual series that is generated by a vector autoregressive model can be represented as an autoregressive model that is augmented with the lags of few linear combinations of all the variables in the system. We call this modelling Multivariate Index-Augmented Autoregression (MIAAR). We show that the parameters of the MIAAR can be estimated by a switching algorithm that increases the Gaussian likelihood at each iteration. Since maximum likelihood estimation may perfo… Show more

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Cited by 19 publications
(11 citation statements)
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References 42 publications
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“…which reveals that there is a clear link between the MAI and the popular dynamic factor model (Carriero et al, 2016;Cubadda and Guardabascio, 2019) with the difference that no information is lost in the MAI and that specification might not exist and must be tested.…”
Section: Multivariate Autoregressive Index Modelmentioning
confidence: 99%
“…which reveals that there is a clear link between the MAI and the popular dynamic factor model (Carriero et al, 2016;Cubadda and Guardabascio, 2019) with the difference that no information is lost in the MAI and that specification might not exist and must be tested.…”
Section: Multivariate Autoregressive Index Modelmentioning
confidence: 99%
“…В эконометрике задача прогнозирования временных рядов рассматривается как частный случай регрессии. Методический инструментарий прогнозирования учитывает модели экспоненциального сглаживания, регрессионные и авторегрессионные модели [8,9] и др. Стоит отметить набирающий популярность подход, учитывающий нейросетевое моделирование.…”
Section: описание метода исследованияunclassified
“…In this paper, we propose a new model that bridges TVP-VAR-SV and TVP-FAVAR-SV, with a new estimation strategy based on the results in KK. Specifically, to reduce the dimensionality, we draw from the recent developments in Multivariate Index Autoregressive (MAI) models, see Carriero et al (2016), Cubadda et al (2017), Cubadda and Guardabascio (2019), and Carriero et al (2020), among others. The MAI model, originally introduced by Reinsel (1983), is a bridge between reduced-rank VARs (see Carriero et al, 2015 and the references therein) and the Dynamic Factor Model (DFM, see Stock andWatson, 2016, Lippi, 2019 and the references therein).…”
Section: Introductionmentioning
confidence: 99%
“…Hence, the MAI can be applied even to small or medium VARs. Moreover, the factor structure can be tested for and not simply imposed as in the DFM, and the estimation error of the indexes is explicitly accounted for, see Cubadda and Guardabascio (2019) for further details. The contribution of the paper is twofold.…”
Section: Introductionmentioning
confidence: 99%