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200 10$aPower Laws $eA Statistical Trek /$fby Iddo Eliazar
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (XX, 203 p. 1 illus.) 
225 1 $aUnderstanding Complex Systems,$x1860-0840
300   $aIncludes index.
311 08$a3-030-33234-9 
327   $aIntroduction -- 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.
330   $aThis 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.
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606   $aMathematical physics
606   $aStatistics
606   $aDynamics
606   $aNonlinear theories
606   $aSystem theory
606   $aTheoretical, Mathematical and Computational Physics
606   $aStatistical Theory and Methods
606   $aApplied Dynamical Systems
606   $aComplex Systems
615  0$aMathematical physics.
615  0$aStatistics.
615  0$aDynamics.
615  0$aNonlinear theories.
615  0$aSystem theory.
615 14$aTheoretical, Mathematical and Computational Physics.
615 24$aStatistical Theory and Methods.
615 24$aApplied Dynamical Systems.
615 24$aComplex Systems.
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