Abstract
Following a discussion of several examples, an “adequate” stochastic model is defined as one where the probability assumptions are implicit in the corresponding physical model. A model for the generation of log-normal size distributions in sands is proposed, based upon the concept of a repeated “sorting event” and the application of the central limit theorem. This model appears to be somewhat less than adequate, by the above definition, but may be improved by further investigation.
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Middleton, G.V. (1970). Generation of the Log-Normal Frequency Distribution in Sediments. In: Romanova, M.A., Sarmanov, O.V. (eds) Topics in Mathematical Geology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2708-8_4
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DOI: https://doi.org/10.1007/978-1-4899-2708-8_4
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