Power laws : a statistical trek
著者
書誌事項
Power laws : a statistical trek
（Springer complexity）（Understanding complex systems / founding editor, J.A. Scott Kelso）
Springer, c2020
- : hardcover
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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