Question

Where does the notion of the Gaussian Distribution come from? In other words, what makes \(e^{x^2}\) so special that it describes natural distribution in probability/statistics?

Answer 1

I meant \(e^{-x^2}\) of course.

Answer 2

:( i dunno

Answer 3

the \( e \) bit

Answer 4

What about it?

Answer 5

well it has to do with growth, and factorials and infinite series

Answer 6

I know that... so how does one derive \(e^{-x^2}\) as the proper model for the Gaussian distribution/

Answer 7

I'm not looking for an intuitive understanding... I want some sort of a derivation or basis to justify the distribution.