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Math Help - Marginal PDFs

  1. #1
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    Marginal PDFs

    How would i find the marginal pdfs for this function
    [f, XY] (x, y) = 2, y <= x <= 1 , 0 <= y <= 1
    0, otherwise

    What integration limits would i take for the marginal pdf of X say, between y and 1? or 0 and 1. Same thing goes for marginal pdf of Y.

    Thanks
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by ah-bee View Post
    How would i find the marginal pdfs for this function
    [f, XY] (x, y) = 2, y <= x <= 1 , 0 <= y <= 1
    0, otherwise

    What integration limits would i take for the marginal pdf of X say, between y and 1? or 0 and 1. Same thing goes for marginal pdf of Y.

    Thanks
    If you want the marginal pdf of X, then you have to integrate with respect to y. And the boundaries for y are 0 to x (since x<=1)
    For the marginal pdf of Y, you have to integrate with respect to x, which indeed goes from y to 1.
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  3. #3
    MHF Contributor matheagle's Avatar
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    See
    http://www.mathhelpforum.com/math-he...ectations.html
    There the y is bigger than x, but all you need to do is switch the variables.
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