Power Laws
A Statistical TrekThis 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 Fr’chet laws, power Lorenz curves, L’vy 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. ISBN: 9783030332341, 3030332349
