A fractal approach to dynamic inference and distribution analysis

作者：van Rooij Marieke M J W; Nash Bertha A; Rajaraman Srinivasan; Holden John G^*

来源：Frontiers in Physiology, 2013, 4: 1.

DOI：10.3389/fphys.2013.00001

• scaling relations
• distribution analysis
• dynamic systems
• cognitive performance
• response time distributions
• fractal analysis

Event distributions inform scientists about the variability and dispersion of repeated measurements. This dispersion can be understood from a complex systems perspective, and quantified in terms of fractal geometry. The key premise is that a distribution%26apos;s shape reveals information about the governing dynamics of the system that gave rise to the distribution. Two categories of characteristic dynamics are distinguished: additive systems governed by component dominant dynamics and multiplicative or interdependent systems governed by interaction-dominant dynamics. A logic by which systems governed by interaction-dominant dynamics are expected to yield mixtures of lognormal and inverse power-law samples is discussed. These mixtures are described by a so-called cocktail model of response times derived from human cognitive performances. The overarching goals of this article are twofold: First, to offer readers an introduction to this theoretical perspective and second, to offer an overview of the related statistical methods.

• 出版日期2013