# Normal distribution modified by "potential"

by friend
Tags: distribution, modified, normal, potential
 P: 959 For a random process the distribution if described by a gaussian distribution. But if the process has components that throw off the normal distribution, can any distribution be described by a gaussian distribution with another function, call it a potential, in the exponent of the gaussian added to the squared term?
PF Gold
P: 162
 Quote by friend For a random process the distribution if described by a gaussian distribution.
You can cook up a stochastic process with any probability law you want

 Quote by friend But if the process has components that throw off the normal distribution, can any distribution be described by a gaussian distribution with another function, call it a potential, in the exponent of the gaussian added to the squared term?
This is related to your question http://en.wikipedia.org/wiki/Boltzmann_distribution

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