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Power lawsa statistical trek /

Eliazar, Iddo.

Power lawsa statistical trek /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Power lawsby Iddo Eliazar.
Reminder of title:	a statistical trek /
Author:	Eliazar, Iddo.
Published:	Cham :Springer International Publishing :2020.
Description:	xx, 203 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical statistics.
Online resource:	https://doi.org/10.1007/978-3-030-33235-8
ISBN:	9783030332358$q(electronic bk.)

Power lawsa statistical trek /
Eliazar, Iddo.

Power lawsa statistical trek /[electronic resource] :by Iddo Eliazar. - Cham :Springer International Publishing :2020. - xx, 203 p. :ill., digital ;24 cm. - Understanding complex systems,1860-0832. - Understanding complex systems..

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.

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 Frechet laws, power Lorenz curves, Levy 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: 9783030332358$q(electronic bk.)

Standard No.: 10.1007/978-3-030-33235-8doiSubjects--Topical Terms:

181877
Mathematical statistics.

LC Class. No.: QA276 / .E55 2020

Dewey Class. No.: 519.5

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245 1 0 $a Power laws $h [electronic resource] : $b a statistical trek / $c by Iddo Eliazar.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xx, 203 p. : $b ill., digital ; $c 24 cm.
490 1 $a Understanding complex systems, $x 1860-0832
505 0 $a 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.
520 $a 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 Frechet laws, power Lorenz curves, Levy 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.
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