English

Entropy of Difference

Data Analysis, Statistics and Probability 2014-11-05 v2 Chaotic Dynamics

Abstract

Here, we propose a new tool to estimate the complexity of a time series: the entropy of difference (ED). The method is based solely on the sign of the difference between neighboring values in a time series. This makes it possible to describe the signal as efficiently as prior proposed parameters such as permutation entropy (PE) or modified permutation entropy (mPE), but (1) reduces the size of the sample that is necessary to estimate the parameter value, and (2) enables the use of the Kullback-Leibler divergence to estimate the distance between the time series data and random signals.

Keywords

Cite

@article{arxiv.1411.0506,
  title  = {Entropy of Difference},
  author = {Pasquale Nardone},
  journal= {arXiv preprint arXiv:1411.0506},
  year   = {2014}
}

Comments

10 pages, 6 figures

R2 v1 2026-06-22T06:45:55.222Z