The tail exponent (alpha) converges to its true value much faster and with lower standard error than the mean in fat-tail distributions; empirically, alpha estimates stabilize within a few observations while mean estimates scatter widely.

factualpending

Speaker

Nassim Nicholas Taleb

Evidence Quote

it's remarkable how quickly you get the alpha yeah I show you at Ry reverse try to get the means all over the map yeah you get the alpha always within like yeah it's really NE it's really neat yeah standard ER on the alpha is low yeah that on mean is huge

Source

Nassim Taleb — Meditations on ExtremistanJoseph Noel Walker
Created: 8/11/2026, 7:44:21 AM

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