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math.ST2026
Symmetry Testing in Time Series using Ordinal Patterns: A U-Statistic Approach
Annika Betken, Giorgio Micali, Manuel Ruiz MarÃn
We introduce a general framework for testing temporal symmetries in time series based on the distribution of ordinal patterns. While previous approaches have focused on specific fo…
math.ST2025
Ordinal Patterns Based Change Points Detection
Annika Betken, Giorgio Micali, Johannes Schmidt-Hieber
The ordinal patterns of a fixed number of consecutive values in a time series is the spatial ordering of these values. Counting how often a specific ordinal pattern occurs in a tim…