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Maria Mohr (Uni Hamburg)

8. Januar 2019 @ 15:45 - 17:15

Changepoint detection in a nonparametric time series regression model

A weakly dependent time series is considered, for which we develop a strategy to detect whether the nonparametric conditional mean function is stable in time. The strategy allows for autoregressive effects and heteroscedasticity. Our proposal is based on a modified CUSUM-type test procedure, which uses a sequential marked empirical process of residuals. We show weak convergence of the considered process to a centered Gaussian process under the null ”mt(·) = m(·) for all t” and a stationarity assumption. This requires some sophisticated arguments for sequential empirical processes of weakly dependent variables. As a consequence we obtain the convergence of Kolmogorov-Smirnov
and Cramér-von Mises type test statistics. The procedure acquires a very simple limiting distribution and nice consistency properties against changepoint alternatives, features from which related tests are lacking. Further considerations include a bootstrap procedure as well as a test for change in the conditional variance function. Finally, a simulation study is conducted to investigate the finite sample performance of our tests.

Details

Datum:
8. Januar 2019
Zeit:
15:45 - 17:15
Veranstaltungskategorie:

Veranstaltungsort

Gebäude H1, Raum 1505
Holstenhofweg 85
Hamburg, Hamburg 22043 Deutschland
Webseite:
https://www.hsu-hh.de/hsu/

Veranstalter

Fächergruppe Mathematik und Statistik
Telefon:
+49 (0)40 6541-2378
E-Mail:
adaemmer@hsu-hh.de
Webseite:
https://www.hsu-hh.de/statistik/