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Linear vs. Log‐linear Unit‐Root Specification: An Application of Mis‐specification Encompassing*

Aris Spanos (), David Hendry () and J Reade ()

Oxford Bulletin of Economics and Statistics, 2008, vol. 70, issue s1, 829-847

Abstract: The objective of this paper is to apply the mis‐specification (M‐S) encompassing perspective to the problem of choosing between linear and log‐linear unit‐root models. A simple M‐S encompassing test, based on an auxiliary regression stemming from the conditional second moment, is proposed and its empirical size and power are investigated using Monte Carlo simulations. It is shown that by focusing on the conditional process the sampling distributions of the relevant statistics are well behaved under both the null and alternative hypotheses. The proposed M‐S encompassing test is illustrated using US total disposable income quarterly data.

Date: 2008
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Oxford Bulletin of Economics and Statistics is currently edited by Christopher Adam, Anindya Banerjee, Christopher Bowdler, David Hendry, Adriaan Kalwij, John Knight and Jonathan Temple

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