Model selection for integrated autoregressive processes of infinite order
Ching-Kang Ing (),
Chor-yiu (CY) Sin and
Shu-Hui Yu
Journal of Multivariate Analysis, 2012, vol. 106, issue C, 57-71
Abstract:
We show that Akaike’s Information Criterion (AIC) and its variants are asymptotically efficient in integrated autoregressive processes of infinite order (AR(∞)). This result, together with its stationary counterpart established previously in the literature, ensures that AIC can ultimately achieve prediction efficiency in an AR(∞) process, without knowing the integration order.
Keywords: Asymptotic efficiency; Integrated AR(∞) processes; Model selection; Mean squared prediction error (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.jmva.2011.10.008
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