Atheoretical regression trees (ART) are applied to detect changes in the mean of a stationarylong memory time series when location and number are unknown. It is shownthat the BIC, which is almost always used as a pruning method, does not operate well inthe long memory framework.[...]

Als Teil des operationellen Risikos stellt das Modellrisiko eine wichtige Komponente f¨urdie Risikoermittlung bei Finanzinstitutionen dar. Da letztere z.B. bei der Tarifierung undBepreisung von Derivaten bzw. Portfolien oder bei der Markt- und Kreditrisikoberechnungauf stochastische Modelle...

We show that tests for a break in the persistence of a time series in the classicalI(0) - I(1) framework have serious size distortions when the actual data generatingprocess exhibits long-range dependencies. We prove that the limiting distributionof a CUSUM of squares based test depends on the...