Normal distribution modified by potential

[friend]

Normal distribution modified by "potential"

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?

 

[kai_sikorski]

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

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