Extracting features of Gaussian self-similar stochastic processes via the Bandt-Pompe approach
- 12 December 2007
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 76 (6), 061114
- https://doi.org/10.1103/physreve.76.061114
Abstract
By recourse to appropriate information theory quantifiers (normalized Shannon entropy and Martín-Plastino-Rosso intensive statistical complexity measure), we revisit the characterization of Gaussian self-similar stochastic processes from a Bandt-Pompe viewpoint. We show that the ensuing approach exhibits considerable advantages with respect to other treatments. In particular, clear quantifiers gaps are found in the transition between the continuous processes and their associated noises.Keywords
This publication has 34 references indexed in Scilit:
- Distinguishing Noise from ChaosPhysical Review Letters, 2007
- Model-free stochastic processes studied with q-wavelet-based informational toolsPhysics Letters A, 2007
- Generalized statistical complexity measures: Geometrical and analytical propertiesPhysica A: Statistical Mechanics and its Applications, 2006
- Intensive entropic non-triviality measurePhysica A: Statistical Mechanics and its Applications, 2003
- Statistical complexity and disequilibriumPhysics Letters A, 2003
- Construction of Symbolic Dynamics from Experimental Time SeriesPhysical Review Letters, 1999
- Simple measure for complexityPhysical Review E, 1999
- A statistical measure of complexityPhysics Letters A, 1995
- Possible generalization of Boltzmann-Gibbs statisticsJournal of Statistical Physics, 1988
- A spectral entropy method for distinguishing regular and irregular motion of Hamiltonian systemsJournal of Physics A: General Physics, 1979