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Power Laws

A Statistical Trek

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eBook. PDF

eBook

2020

203 S. XX, 203 p. 1 illus..

In englischer Sprache

Springer International Publishing. ISBN 978-3-030-33235-8

Das Werk ist Teil der Reihe: Understanding Complex Systems

Produktbeschreibung

This monograph is a comprehensive and cohesive exposition of power-law statistics. Following a bottom-up construction from a foundational bedrock - the power Poisson process - this monograph presents a unified study of an assortment of power-law statistics including: Pareto laws, Zipf laws, Weibull and Fréchet laws, power Lorenz curves, Lévy laws, power Newcomb-Benford laws, sub-diffusion and super-diffusion, and 1/f and flicker noises.

The bedrock power Poisson process, as well as the assortment of power-law statistics, are investigated via diverse perspectives: structural, stochastic, fractal, dynamical, and socioeconomic.

This monograph is poised to serve researchers and practitioners - from various fields of science and engineering - that are engaged in analyses of power-law statistics.