Power Laws A Statistical Trek için kapak resmi
Power Laws A Statistical Trek
Başlık:
Power Laws A Statistical Trek
ISBN:
9783030332358
Personal Author:
Edition:
1st ed. 2020.
Yayın Bilgileri:
Cham : Springer International Publishing : Imprint: Springer, 2020.
Fiziksel Tanımlama:
XX, 203 p. 1 illus. online resource.
Series:
Understanding Complex Systems,
Contents:
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.
Abstract:
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.
Dil:
English