Power laws : a statistical trek / Iddo Eliazar

By:

Eliazar, Iddo [VerfasserIn]

Contributor(s):

Springer Nature Switzerland AG [Verlag]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Understanding complex systems | Springer complexity | Springer eBook CollectionPublisher: Cham : Springer Nature Switzerland, [2020]Publisher: Cham : Imprint: Springer, [2020]Copyright date: © 2020Description: 1 Online-Ressource (XX, 203 p. 1 illus.)ISBN:

9783030332358

Subject(s):

Additional physical formats: 9783030332341 | 9783030332365 | Erscheint auch als: Power laws. Druck-Ausgabe Cham, Switzerland : Springer Nature, 2020. xx, 203 Seiten | Erscheint auch als: 9783030332365 Druck-AusgabeMSC: MSC: *62-02 | 62P20 | 62P35DOI: DOI: 10.1007/978-3-030-33235-8Online resources:

Summary: 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.Summary: 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.PPN: PPN: 1689105356Package identifier: Produktsigel: ZDB-2-PHA | ZDB-2-SEB | ZDB-2-SXP

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