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Log-normal distribution
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=== Heavy-tailness of the Log-Normal === Whether a Log-Normal can be considered or not a true heavy-tail distribution is still debated. The main reason is that its variance is always finite, differently from what happen with certain Pareto distributions, for instance. However a recent study has shown how it is possible to create a Log-Normal distribution with infinite variance using Robinson Non-Standard Analysis.<ref>{{Cite journal | last1 = Cococcioni | first1 = Marco | last2 = Fiorini | first2 = Francesco | last3 = Pagano | first3 = Michele | date = 2023-04-06 | title = Modelling Heavy Tailed Phenomena Using a LogNormal Distribution Having a Numerically Verifiable Infinite Variance | journal = Mathematics | language = en | volume = 11 | issue = 7 | page = 1758 | doi = 10.3390/math11071758 | doi-access = free | issn = 2227-7390 | hdl = 11568/1216554 | hdl-access = free }}</ref>
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