摘要：In this paper the performance of information criteria and a test against SETAR non- linearity for outlier contaminated time series are investigated. Additive outliers can seriously in.uence the properties of the underlying time series and hence of linearity tests, resulting in spurious test decisions of nonlinearity. Using simulation studies, the performance of the information criteria SIC and WIC as an alternative to linearity tests are assessed in time series with di.erent degrees of persistence and di.erent outlier mag- nitudes. For uncontaminated series and a small sample size the performance of SIC and WIC is similar to the performance of the linearity test at the 5% and 10% significance level, respectively. For an increasing number of observations the size of SIC and WIC tends to zero. In contaminated series the size of the test and of the information crite- ria increases with the outlier magnitude and the degree of persistence. SIC and WIC can clearly outperform the test in larger samples and larger outlier magnitudes. The power of the test and of the information criteria depends on the sample size and on the di.erence between the regimes. The more distinct the regimes and the larger the sample, the higher is the power. Additive outliers decrease the power in distinct regimes in small samples and in intermediate regimes in large samples, but increase the power in similar regimes. Due to their higher robustness in terms of size, information criteria are a valuable alternative to linearity tests in outlier contaminated time series
关键词：Additive Outliers · Nonlinear Time Series · Information Criteria · ; Linearity Test · Monte Carlo
