Bell curves are everywhere because all distributions of any properties clump in some way at some level. The basics of any probability shows this. The result is you “seeing” bell curves everywhere. Aka clumps.
This is a tautology to the extreme.
This is a tautology to the extreme.
If sums of independent identically distributed random variables converge to a distribution, they converge to a Levy stable distribution [0]. Tails of the Levy stable distribution are power law, which makes them not Gaussian.
Eg we find bell curves because we look for bell curves. And given infinite resolution we can find them at some granularity.
Second, your "aka" is incorrect --- there is all sorts of clumping that is not a normal distribution.
> your "aka" is incorrect --- there is all sorts of clumping that is not a normal distribution.
That it's "incredibly common for people to label "bell curves" by eyeball, regardless of whether they are normal curves" is not just not relevant, it's anti-relevant ... the central limit theorem says that the distribution of the means is always a bell curve--a normal distribution--not merely a "bell curve".
Anyway, this is covered in far more detail in other comments and material elsewhere, so this is my last contribution.
It doesn't say that. And it shouldn't, because that isn't true.
Normal curves are everywhere normal curves are -- which are an observational tautology -- and a fundamental over our observation of "stuff". You're dismissive as if im some illiterate, but you'd be surprised at the contributions on math I've made to the world.