The Generation of the Fat The Generation of the Fat Tails distributionsTails distributions

RICCARDO LUCCIORICCARDO LUCCIO

Dipartimento di Psicologia “G. Kanizsa”, Università di TriesteDipartimento di Psicologia “G. Kanizsa”, Università di Trieste

8th Alps-Adria Psychology Conference - October 3, 20088th Alps-Adria Psychology Conference - October 3, 2008

LjubljanaLjubljana

Benford’s law (Newcomb, Benford’s law (Newcomb, 1881)1881)pd()=log101+1d⎛⎝⎜⎞⎠⎟.

Pareto’s LawPareto’s Lawpx()=kxmkxk+1,

Lorenz’ LawLorenz’ Lawpx()=ax−bc⎛⎝⎜⎞⎠⎟2+1,

Zipf’ lawZipf’ lawf(r)≅abrk,

Heap’s lawHeap’s lawv=anb,

Other heavy tail Other heavy tail distributionsdistributions

Bradford’s law;

Lotka’s law;

Towns/inhabitants;

Gerbino’s law;

Firms/workers;

Web accesses;

Drugs/pharmaceutical Drugs/pharmaceutical groupsgroups

It follows the Zipf’ law:

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SchultzSchultzIt follows the Zipf’ law:

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AlliterationsAlliterationsAll follow Lorenz’law: px()=ax−bc⎛⎝⎜⎞⎠⎟2+1,

““Il Piacere” by D’AnnunzioIl Piacere” by D’Annunzioa=-2.832 b=7.524 c=927.990 d=1.327 R2=0.979

““Il Bacio” by InvernizioIl Bacio” by Invernizioa=-.430 b=12.612 c=147.654 d=-1.755 R2=0.989

““Discorso” by LeopardiDiscorso” by Leopardia=2.529 b=9.806 c=174.441 d=-1.176 R2=0.976