Power Laws : A Statistical Trek / / by Iddo Eliazar

• Record Nr.: UNINA9910373950303321
• Autore: Eliazar Iddo
• Pubbl/distr/stampa: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
• ISBN: 3-030-33235-7
• Edizione: [1st ed. 2020.]
• Descrizione fisica: 1 online resource (XX, 203 p. 1 illus.)
• Collana: Understanding Complex Systems, , 1860-0840
• Disciplina: 519.5
• Soggetti: Mathematical physics; Statistics; Dynamics; Nonlinear theories; System theory; Theoretical, Mathematical and Computational Physics; Statistical Theory and Methods; Applied Dynamical Systems; Complex Systems
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Includes index.
• Nota di contenuto: Introduction -- From lognormal to power -- The Poisson law -- Framework -- Threshold analysis -- Hazard rates -- Order statistics -- Exponent estimation -- Socioeconomic analysis -- Fractality -- Sums -- Dynamics -- Limit laws -- First digits -- Back to lognormal -- Conclusion -- Appendix.
• Sommario/riassunto: 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.