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Titel
Change point analysis in non-stationary processes - a mass excess approach / Holger Dette, Weichi Wu
VerfasserDette, Holger ; Wu, Weichi
ErschienenDortmund : Universitätsbibliothek Dortmund, January 28, 2018
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Elektronische Ressource
Umfang1 Online-Ressource (52 Seiten)
SerieDiscussion paper ; Nr. 1/2018
SchlagwörterChange-point-Problem / Gauß-Approximation
URNurn:nbn:de:hbz:6:2-130594 
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Change point analysis in non-stationary processes - a mass excess approach [0.52 mb]
Zusammenfassung

This paper considers the problem of testing if a sequence of means ( t)t=1;:::;n of a non-stationary time series (Xt)t=1;:::;n is stable in the sense that the difference of the means 1 and t between the initial time t = 1 and any other time is smaller than a given level, that is j 1 tj c for all t = 1; : : : ; n. A test for hypotheses of this type is developed using a bias corrected monotone rearranged local linear estimator and asymptotic normality of the corresponding test statistic is established. As the asymptotic variance depends on the location and order of the critical roots of the equation j 1 tj = c a new bootstrap procedure is proposed to obtain critical values and its consistency is established. As a consequence we are able to quantitatively describe relevant deviations of a non-stationary sequence from its initial value. The results are illustrated by means of a simulation study and by analyzing data examples.

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