The fragility of the KPSS stationarity test

نویسندگان

  • Nunzio Cappuccio
  • Diego Lubian
چکیده

Stationarity tests exhibit extreme size distortions if the observable process is stationary yet highly persistent. In this paper we provide a theoretical explanation for the size distortion of the KPSS test for DGPs with a broad range of first order autocorrelation coefficient. Considering a near-integrated, nearly stationary process we show that the asymptotic distribution of the test contains an additional term, which can potentially explain the amount of size distortion documented in previous simulation studies.

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عنوان ژورنال:
  • Statistical Methods and Applications

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2010