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Power Laws

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This monograph is a comprehensive and cohesive exposition of power-law statistics. Following a bottom-up construction from a foun... Lire la suite
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Description

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.



Auteur

Iddo Eliazar is an avid multi-disciplinary explorer of randomness, with about 150 scientific research publications on Operations Research, Stochastic Modeling, Statistical Physics, Econo-Physics and Socio-Physics.

In academia, he held senior faculty positions at Tel Aviv University, at Bar Ilan University, and at the Holon Institute of Technology.

In industry, he served as a Research Scientist at Intel's New Devices Group, and as a Section Head at Bank Hapoalim's Department of Analytic Development.

Dr. Eliazar holds the following degrees from Tel-Aviv University: BSc in Mathematics and Statistics (Summa Cum Laude), MSc in Operations Research (Summa Cum Laude), and PhD.



Contenu

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.

Informations sur le produit

Titre: Power Laws
Sous-titre: A Statistical Trek
Auteur:
EAN: 9783030332358
Format: eBook (pdf)
Producteur: Springer International Publishing
Genre: Physique, astronomie
Parution: 03.01.2020
Protection contre la copie numérique: filigrane numérique
Taille de fichier: 3 MB
Nombre de pages: 203

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