English

Monotone measures of statistical complexity

Data Analysis, Statistics and Probability 2016-01-20 v2

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.

Keywords

Cite

@article{arxiv.1510.01547,
  title  = {Monotone measures of statistical complexity},
  author = {Łukasz Rudnicki and Irene V. Toranzo and Pablo Sanchez-Moreno and Jesus S. Dehesa},
  journal= {arXiv preprint arXiv:1510.01547},
  year   = {2016}
}

Comments

Version accepted in Physics Letters A

R2 v1 2026-06-22T11:13:48.156Z