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Ratio of uniforms method proof

  1. Feb 6, 2010 #1
    Hi everybody:
    I am trying to solve this question:
    [URL=http://imageshugger.com/][PLAIN]http://imageshugger.com/images/wviidazp3mf06ej32.jpg[/URL]

    I have made the following:
    u=y
    v=xy

    Calculated the Jacobian, which is |-y|=y
    then as I know that is unnormalized I need to normalized first using a double integral as a normalizing factor, the thing is that I am stuck there :cry:
    please could you help me to get the joint pdf of X and Y
    thanks
     
  2. jcsd
  3. Feb 6, 2010 #2

    EnumaElish

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    Homework?
     
  4. Feb 6, 2010 #3
    no homework, this question is posted in a book about probability and also it is somewhat explained into the paper of 1977 of Kinderman and Monahan, but as I said I got stucked into the joint pdf and not get the answer
    any help would be valuable
     
  5. Feb 6, 2010 #4
    nevermind I got the answer, thanks anyway
     
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