Joint pmf of 2 binomially distributed random variables

  1. I hope I wrote that correctly but I'm trying to find the joint. I heard it was impossible from someone.

    X = A/R
    A~BIN(n1, p1)
    R~BIN(n2, p2)

    I know I shouldn't be using the Jacobian method for Discrete distributions but I have to do it anyway.

    Anyone know?
     
  2. jcsd
  3. mathman

    mathman 6,569
    Science Advisor
    Gold Member

    The major difficulty arises from the fact that P(R=0) > 0, so you have a non-zero probability of X being infinite.
     
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