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Power Laws

A Statistical Trek

Medium: Buch
ISBN: 978-3-030-33234-1
Verlag: Springer International Publishing
Erscheinungstermin: 04.01.2020
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9783030332341
  • Medium: Buch
  • ISBN: 978-3-030-33234-1
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 04.01.2020
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2020
  • Serie: Understanding Complex Systems
  • Produktform: Gebunden
  • Gewicht: 506 g
  • Seiten: 203
  • Format (B x H x T): 160 x 241 x 18 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.