AUTHOR=van Rooij Marieke M., Nash Bertha , Rajaraman Srinivasan , Holden John G. TITLE=A fractal approach to dynamic inference and distribution analysis JOURNAL=Frontiers in Physiology VOLUME=4 YEAR=2013 URL=https://www.frontiersin.org/journals/physiology/articles/10.3389/fphys.2013.00001 DOI=10.3389/fphys.2013.00001 ISSN=1664-042X ABSTRACT=

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'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.