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Math Help - independence of four variables

  1. #1
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    independence of four variables

    I am wondering if anyone knows the rules regarding the independence of four variables. Or a means of deriving such properties.
    ie
    p(A^B^C^D)= p(A)p(B)p(C)p(D), pairwise independence, etc?
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  2. #2
    MHF Contributor matheagle's Avatar
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    I'm not sure what your question is.
    Pairwise only refers to sets of two random variables.
    You have four sets.
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  3. #3
    Moo
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    Hello,

    We must have :
    P(A^B)=P(A)P(B)
    P(A^C)=P(A)P(C)
    P(A^D)=P(A)P(D)
    etc
    .
    .
    .

    P(A^B^C)=P(A)P(B)P(C)
    P(A^B^D)=P(A)P(B)P(D)
    P(A^C^D)=P(A)P(C)P(D)
    P(B^C^D)=P(B)P(C)P(D)

    P(A^B^C^D)= P(A)P(B)P(C)P(D)


    In other words, you have to test the formula for any "subset" of {A,B,C,D}
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