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Monotone measures of statistical complexity

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2016Embargo end date: 01 Jan 2015 Poland English Publisher:Elsevier BVJournal:Physics Letters A, volume 380, pages 377-380 (issn: 0375-9601, Copyright policy )Funded by:DFG | unidentified
Authors: Łukasz Rudnicki; Irene V. Toranzo; Pablo Sánchez-Moreno; Jesús S. Dehesa;

doi: 10.1016/j.physleta.2015.10.047 , 10.48550/arxiv.1510.01547

arXiv: 1510.01547

Monotone measures of statistical complexity

Abstract

We introduce and discuss the notion of monotonicity for the complexity measures of general probability distributions, patterned after the resource theory of quantum entanglement. Then, we explore whether this property is satisfied by the three main intrinsic measures of complexity (Cramer-Rao, Fisher-Shannon, LMC) and some of their generalizations.

Version accepted in Physics Letters A

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Keywords

statistical complexity, Measures of information, entropy, LMC complexity, Fisher information, Fisher-Shannon complexity, Shannon entropy, FOS: Physical sciences, Crámer-Rao complexity, Crámer–Rao complexity, Physics - Data Analysis, Statistics and Probability, Quantum information, communication, networks (quantum-theoretic aspects), Statistical complexity, Fisher–Shannon complexity, Data Analysis, Statistics and Probability (physics.data-an)

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    popularity
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    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
56
Top 10%
Top 10%
Top 10%
Green
bronze