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非平稳时间序列的非参数分割

Nonparametric segmentation of nonstationary time series.

作者信息

Camargo S, Duarte Queirós S M, Anteneodo C

机构信息

Departamento de Física, PUC-Rio, Rio de Janeiro, Brazil.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Oct;84(4 Pt 2):046702. doi: 10.1103/PhysRevE.84.046702. Epub 2011 Oct 12.

DOI:10.1103/PhysRevE.84.046702
PMID:22181302
Abstract

The nonstationary evolution of observable quantities in complex systems can frequently be described as a juxtaposition of quasistationary 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 nonparametric approach. We illustrate its applicability through the analysis of real time series presenting diverse degrees of nonstationarity, thus showing that this segmentation procedure generalizes and allows one to uncover features unresolved by previous proposals based on the discrepancy of low order statistical moments only.

摘要

复杂系统中可观测量的非平稳演化通常可描述为准平稳阶段的并列。鉴于标准的理论和数据分析方法通常依赖于平稳性假设,在实际时间序列中检测具有该属性的区间非常重要。出于这个目的,我们引入了一种基于完全非参数方法的分割算法。我们通过对呈现不同程度非平稳性的实际时间序列进行分析来说明其适用性,从而表明这种分割过程具有通用性,并且能够揭示以往仅基于低阶统计矩差异的方法所未解决的特征。

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