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Math Help - Independence

  1. #1
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    Joined
    Feb 2011
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    York, UK
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    15

    Independence

    I have a joint probability distribution on the variables x and y given the parameters a and b:

    p(x,y|a,b)

    x and y are assumed to be independent. p(x|a) and p(y|b) are multinomial distributions separately. Therefore, a is defined for x and b is defined for y. Therefore the equation can be written as given below (because of the independence between x and y):

    p(x|a,b) p(y|a,b)

    Is it also possible to derive this equation as given below: ?

    p(x|a) p(y|b)

    Because b does not mean anything for x, and a does not mean anything for x.
    Last edited by malaguena; February 24th 2011 at 03:03 AM.
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