© 2020

Power Laws

A Statistical Trek


Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Iddo Eliazar
    Pages 1-11
  3. Iddo Eliazar
    Pages 13-29
  4. Iddo Eliazar
    Pages 31-38
  5. Iddo Eliazar
    Pages 39-48
  6. Iddo Eliazar
    Pages 49-51
  7. Iddo Eliazar
    Pages 53-60
  8. Iddo Eliazar
    Pages 61-79
  9. Iddo Eliazar
    Pages 81-86
  10. Iddo Eliazar
    Pages 87-100
  11. Iddo Eliazar
    Pages 101-113
  12. Iddo Eliazar
    Pages 115-123
  13. Iddo Eliazar
    Pages 125-131
  14. Iddo Eliazar
    Pages 133-151
  15. Iddo Eliazar
    Pages 153-157
  16. Iddo Eliazar
    Pages 159-176
  17. Iddo Eliazar
    Pages 177-181
  18. Iddo Eliazar
    Pages 183-197
  19. Iddo Eliazar
    Pages 199-203

About this book


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.


Pareto law Weibull and Frechet law Zipf law Levy laws Power Poisson process Power Lorenz curves

Authors and affiliations

  1. 1.Tel AvivIsrael

About the authors

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.

Bibliographic information