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Normal distribution modified by potential

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#1
Feb23-12, 06:47 PM
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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?
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Feb23-12, 07:38 PM
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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

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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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