I have two random variables X and Y. X follows a power law distribution. I know its generating function G(x). I also know the Pearson correlation coefficient of X and Y. How do I find the generating function of Y?

closed as off topic by Scott Morrison♦Feb 4 '10 at 18:19

Questions on MathOverflow are expected to relate to research level mathematics within the scope defined by the community. Consider editing the question or leaving comments for improvement if you believe the question can be reworded to fit within the scope. Read more about reopening questions here.If this question can be reworded to fit the rules in the help center, please edit the question.

I know Y is also a power law distribution function
–
PeterFeb 4 '10 at 8:26

Closed. See Douglas' comment, which answers your question.
–
Scott Morrison♦Feb 4 '10 at 18:19

Since Douglas's comment is gone, let me add that the answer in it was "To answer your question, you can't in general, as you have 1 condition on an infinite dimensional space."
–
Ben Webster♦Feb 4 '10 at 20:07