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Title: Wald tests of I(1) against I(d) alternatives: Some new properties and an extension to processes with trending components
Authors: Dolado, Juan J.; Gonzalo, Jesus; Mayoral, Laura
Issue Date: 2008
Publisher: Walter de Gruyter
Citation: Studies in Nonlinear Dynamics and Econometrics 12(4): (2008)
Abstract: This paper analyses the behaviour of a Wald-type test, i.e., the (Efficient) Fractional Dickey-Fuller (EFDF) test of I(1) against I(d), d<1, relative to LM tests. Further, it extends the implementation of the EFDF test to the presence of deterministic trending components in the DGP. Tests of these hypotheses are important in many macroeconomic applications where it is crucial to distinguish between permanent and transitory shocks because shocks die out in I(d) processes with d<1. We show how simple the implementation of the EFDF in these situations is and argue that, under fixed alternatives, it is preferred to the LM test in Bahadur's sense. Finally, an empirical application is provided where the EFDF approach allowing for deterministic components is used to test for long-memory in the GDP p.c. of several OECD countries, an issue that has important consequences to discriminate between alternative growth theories. © 2008 The Berkeley Electronic Press. All rights reserved.
URI: http://hdl.handle.net/10261/58519
DOI: 10.2202/1558-3708.1562
Identifiers: doi: 10.2202/1558-3708.1562
issn: 1558-3708
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