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Integration of probability distributions

  1. Oct 6, 2009 #1
    1. The problem statement, all variables and given/known data

    http://img24.imageshack.us/img24/8093/asss4.jpg [Broken]

    2. Relevant equations

    3. The attempt at a solution

    So I got this far:

    [tex]\frac{\Gamma(\alpha + k)}{\Gamma(h) \Gamma(\alpha) \Gamma(k)} \int^{\infty}_0 \int^{\infty}_0 \frac{e^{-(h^{-1} + \lambda) \theta}\theta^{k+x-1} \lambda^{k+x-1} h^{-2k}}{(1+h^{-1} \lambda)^{\alpha + k}}d \lambda d \theta[/tex]

    Do I have to use integration by parts to integrate lambda out?
    Last edited by a moderator: May 4, 2017
  2. jcsd
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