Nonstationary Cointegration in the Fractionally Cointegrated VAR Model

Research output: Contribution to journalJournal articlepeer-review

We consider the fractional cointegrated vector autoregressive (CVAR) model of Johansen and Nielsen (2012a) and make two distinct contributions. First, in their consistency proof, Johansen and Nielsen (2012a) imposed moment conditions on the errors that depend on the parameter space, such that when the parameter space is larger, stronger moment conditions are required. We show that these moment conditions can be relaxed, and for consistency we require just eight moments regardless of the parameter space. Second, Johansen and Nielsen (2012a) assumed that the cointegrating vectors are stationary, and we extend the analysis to include the possibility that the cointegrating vectors are non‐stationary. Both contributions require new analysis and results for the asymptotic properties of the likelihood function of the fractional CVAR model, which we provide. Finally, our analysis follows recent research and applies a parameter space large enough that the usual (non‐fractional) CVAR model constitutes an interior point and hence can be tested against the fractional model using a Chi‐squared‐test.
Original languageEnglish
JournalJournal of Time Series Analysis
Volume40
Issue number4
Pages (from-to)519-543
ISSN0143-9782
DOIs
Publication statusPublished - 2019

    Research areas

  • Faculty of Social Sciences - Cointegration, fractional integration, likelihood inference, vector autoregressive model

ID: 222093878