The stochastic unit root model and fractional integration: An extension to the seasonal case

Guglielmo Maria Caporale and Luis A. Gil‐Alana
Authors registered in the RePEc Author Service: Luis Alberiko Gil-Alana

Applied Stochastic Models in Business and Industry, 2007, vol. 23, issue 5, 439-453

Abstract: In a recent paper, Yoon (Working Paper, Department of Economics and Related Studies, University of York, 2003. Presented at the ESF‐EMM Second Annual Meeting, Rome, Italy, 2003) asserts that the stochastic unit root (STUR) model is closely related to long memory processes, and, in particular, that it is a special case of an I(d) process, with d = 1.5. In this paper we question this claim by using parametric and semiparametric techniques for modelling long memory. We extend the analysis by considering both non‐normality and seasonality, and shed light, theoretically and by means of Monte Carlo methods, on the relationship between the seasonal STUR and the seasonal I(d) models. The results show that methods that are specifically designed for testing I(d) statistical models are not appropriate for testing the STUR model. Moreover, they have in some cases very low power against STUR alternatives. Copyright © 2007 John Wiley & Sons, Ltd.

Date: 2007
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https://doi.org/10.1002/asmb.683

Related works:
Working Paper: THE STOCHASTIC UNIT ROOT MODEL AND FRACTIONAL INTEGRATION: AN EXTENSION TO THE SEASONAL CASE (2004)
Working Paper: THE STOCHASTIC UNIT ROOT MODEL AND FRACTIONAL INTEGRATION: AN EXTENSION TO THE SEASONAL CASE (2004)
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Persistent link: https://EconPapers.repec.org/RePEc:wly:apsmbi:v:23:y:2007:i:5:p:439-453

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