Non-parametric segmentation of non-stationary time series

Details Non-parametric segmentation of non-stationary time series Non-parametric segmentation of non-stationary time series

2011-05-02

arxiv.org/abs/1105.0411v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.84.046702

The non-stationary evolution of observable quantities in complex systems can frequently be described as a juxtaposition of quasi-stationary spells. Given that standard theoretical and data analysis approaches usually rely on the assumption of stationarity, it is important to detect in real time series intervals holding that property. With that aim, we introduce a segmentation algorithm based on a fully non-parametric approach. We illustrate its applicability through the analysis of real time series presenting diverse degrees of non-stationarity, thus showing that this segmentation procedure generalizes and allows to uncover features unresolved by previous proposals based on the discrepancy of low order statistical moments only.

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