A Note on the Size of the ADF Test with Additive Outliers and Fractional Errors. A Reapraisal about the (Non) Stationarity of the Latin-American Inflation Series

Gabriel Rodríguez and Dionisio Ramirez
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Dionisio Ramirez: Universidad Castilla La Mancha

No 2013-357, Documentos de Trabajo / Working Papers from Departamento de Economía - Pontificia Universidad Católica del Perú

Abstract: This note analyzes the empirical size of the augmented Dickey and Fuller (ADF) statistic proposed by Perron and Rodríguez (2003) when the errors are fractional. This ADF is based on a searching procedure for additive outliers based on rst-differences of the data named Tau-d. Simulations show that empirical size of the ADF is not affected by fractional errors con rming the claim of Perron and Rodríguez (2003) that the procedure Tau-d is robust to departures of the unit root framework. In particular the results show low sensitivity of the size of the ADF statistic respect to the fractional parameter (d). However, as expected, when there is strong negative moving average autocorrelation or negative autoregressive autocorrelation, the ADF statistic is oversized. These difficulties are xed when sample increases (from T = 100 to T = 200). Empirical application to eight quarterly Latin-American ination series is also provided showing the importance of taking into account dummy variables for the detected additive outliers.

Keywords: Additive Outliers; ARFIMA Errors; ADF test (search for similar items in EconPapers)
JEL-codes: C2 C3 C5 (search for similar items in EconPapers)
Pages: 28 pages
Date: 2013
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-lam
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Journal Article: A Note on the Size of the ADF Test with Additive Outliers and Fractional Errors. A Reappraisal about the (Non)Stationarity of the Latin-American Inflation Series (2014)
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