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Normal distribution modified by potential

  1. Feb 23, 2012 #1
    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?
    Last edited: Feb 23, 2012
  2. jcsd
  3. Feb 23, 2012 #2


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    Gold Member

    Re: Normal distribution modified by "potential"

    You can cook up a stochastic process with any probability law you want

    This is related to your question http://en.wikipedia.org/wiki/Boltzmann_distribution
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