In 2002, in a seminal article, Bandt and Pompe proposed a new methodology for the
analysis of complex time series, now known as Ordinal Analysis. The ordinal methodology is …

In 2013, Karsten Keller, Jürgen Kurths, and one of us (JMA) guest edited an issue of the
European Physical Journal Special Topics, entitled Recent Progress in Symbolic Dynamics …

We present the asymptotic distribution of the Rényi and Tsallis/Havrda–Charvát entropies
and the Fisher information measure of ordinal patterns embedding their serial correlation …

In this paper, we propose a total fractional-order variation model for multiplicative noise
removal and contrast enhancement of real SAR images. Inspired by the high dynamic …

This is a paper in the intersection of time series analysis and complexity theory that presents
new results on permutation complexity in general and permutation entropy in particular. In …

Simple Summary We obtain expressions for the asymptotic distributions of the Rényi and
Tsallis of order q entropies, and Fisher information when computed on the maximum …

Approximation of entropies of various types using machine learning (ML) regression
methods are shown for the first time. The ML models presented in this study define the …

This article serves two purposes. Firstly, it surveys the Bandt and Pompe methodology for
the statistical community, stressing topics that are open for research. Secondly, it contributes …

The ultimate purpose of the statistical analysis of ordinal patterns is to characterize the
distribution of the features they induce. In particular, knowing the joint distribution of the pair …

Ordinal patterns serve as a robust symbolic transformation technique, enabling the unveiling
of latent dynamics within time series data. This methodology involves constructing …