A Note on Asymptotic Power Calculations in Nearly Nonstationary Time Series
Anders Rygh Swensen
Econometric Theory, 1993, vol. 9, issue 4, 659-667
Abstract:
In the AR(2) model, with a double root at unity, we consider the asymptotic distribution of the likelihood ratio with respect to a nearly nonstationary alternative. It is shown how the distribution can be represented as a Radon-Nikodym derivative of an Ito process with respect to Brownian motion. Using this result, we point out how standard contiguity arguments can be applied to obtain a representation of the asymptotic power function in nearly nonstationary alternatives.
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:cup:etheor:v:9:y:1993:i:04:p:659-667_00
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