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A goodness-of-fit test for VARMA(p, q) models
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-9832-7866
2018 (English)In: Journal of Statistical Planning and Inference, ISSN 0378-3758, E-ISSN 1873-1171, Vol. 197, p. 126-140Article in journal (Refereed) Published
Abstract [en]

A goodness-of-fit approach for multivariate VARMA(p, q) models is presented. The idea is to consider a stochastic process based on a modified residual correlation matrix sequence, that is shown to converge to the Brownian bridge. Standard criteria based on this new random function, as for instance the Kolmogorov–Smirnov and Cramér–von Mises statistics, will have then a pivotal null asymptotic distribution. The properties of these two methods are investigated by simulation. As compared with the traditional methods in this area, their size does not depend critically on the choice of any lag parameter value, and they have better power properties.

Place, publisher, year, edition, pages
2018. Vol. 197, p. 126-140
Keywords [en]
Adjusted residual traces, Brownian bridge, Residual correlation matrices
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:su:diva-152769DOI: 10.1016/j.jspi.2018.01.002ISI: 000432884800009OAI: oai:DiVA.org:su-152769DiVA, id: diva2:1180857
Available from: 2018-02-07 Created: 2018-02-07 Last updated: 2018-06-25Bibliographically approved

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