Change-Point Detection Using the Conditional Entropy of Ordinal Patterns

This paper is devoted to change-point detection using only the ordinal structure of a time series. A statistic based on the conditional entropy of ordinal patterns characterizing the local up and down in a time series is introduced and investigated. The statistic requires only minimal a priori infor...

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Bibliographic Details
Main Authors: Anton M. Unakafov, Karsten Keller
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/9/709
Description
Summary:This paper is devoted to change-point detection using only the ordinal structure of a time series. A statistic based on the conditional entropy of ordinal patterns characterizing the local up and down in a time series is introduced and investigated. The statistic requires only minimal a priori information on given data and shows good performance in numerical experiments. By the nature of ordinal patterns, the proposed method does not detect pure level changes but changes in the intrinsic pattern structure of a time series and so it could be interesting in combination with other methods.
ISSN:1099-4300