Abstract
It is customary in the statistics of nonlinear processes to histogram the logarithmic number of events versus a logarithmic size scale, which is called a log N - log S diagram, size distribution, occurrence frequency distribution, or simply frequency distribution. In such log-log representations, the difference between (i) a Poissonian random process, which can be characterized by an exponential distribution function that drops off sharply above an e-folding size scale, and (ii) nonlinear processes governed by self-organized criticality, which ideally produce a scale-free powerlaw distribution function, appears most striking.
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© 2011 Springer-Verlag Berlin Heidelberg
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Aschwanden, M. (2011). Occurrence Frequency Distributions. In: Self-Organized Criticality in Astrophysics. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15001-2_7
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DOI: https://doi.org/10.1007/978-3-642-15001-2_7
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Online ISBN: 978-3-642-15001-2
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