Understanding Complex Systems: A Statistical Trek

Eliazar, Iddo

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.

Details

Published by: Springer

Publication Date: 2020-01-04

Format: Hardcover

ISBN-13: 9783030332341

DOI: 10.1007/978-3-030-33235-8

Dimensions: 235cm x155cm

Pages: 203