Fourier-type monitoring procedures for strict stationarity

We consider model-free monitoring procedures for strict stationarity of a given time series. The new criteria are formulated as L2-type statistics incorporating the empirical characteristic function. Asymptotic as well as Monte Carlo results are presented. The new methods are also employed in order...

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Veröffentlicht in:arXiv.org 2019-08
Hauptverfasser: Lee, Sangyeol, Meintanis, Simos G, Pretorius, Charl
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider model-free monitoring procedures for strict stationarity of a given time series. The new criteria are formulated as L2-type statistics incorporating the empirical characteristic function. Asymptotic as well as Monte Carlo results are presented. The new methods are also employed in order to test for possible stationarity breaks in time-series data from the financial sector.
ISSN:2331-8422
DOI:10.48550/arxiv.1908.10191