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Residual‐Based Tests For Fractional Cointegration: A Monte Carlo Study
Author(s) -
Dittmann Ingolf
Publication year - 2000
Publication title -
journal of time series analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.576
H-Index - 54
eISSN - 1467-9892
pISSN - 0143-9782
DOI - 10.1111/1467-9892.00201
Subject(s) - cointegration , monte carlo method , residual , mathematics , series (stratigraphy) , econometrics , statistics , algorithm , paleontology , biology
This paper reports an extensive Monte Carlo study of six residual‐based tests of the hypothesis of no cointegration against the alternative of fractional cointegration. Critical values, power and size are simulated and compared. It turns out that the Lobato–Robinson LM test, the Geweke–Porter‐Hudak test and the two Phillips–Perron tests exhibit severe size distortions. On the other hand, the augmented Dickey–Fuller test and the modified rescaled range test show only moderate size distortions but are generally less powerful. In addition, the impact and possible treatment of trends in the individual series, and in the cointegration equilibrium, are discussed.