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Finite-size scaling versus dual random variables and shadow moments in the size distribution of epidemics (2011.04316v1)

Published 9 Nov 2020 in physics.soc-ph and nlin.AO

Abstract: I discuss and criticize the use of "dual transformations" to calculate "shadow moments" in the distribution of epidemic fatalities. I show how this transformation is arbitrary and not only yields an unjustified functional form for the distribution of fatalities but turns out to be highly unphysical (see Fig. 1 in the manuscript). Therefore, the expected number of fatalities calculated from the "shadow moments" approach lacks any theoretical support. This is of fundamental importance to assess risk from pandemics. I argue that the natural way to address this sort of problems in statistical physics is by means of finite-size scaling.

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