On Jun 3, 2010, at 4:19 PM, [email protected] wrote:
I don't think I understand. My familiarity with probability theory is
fairly light. Are you referring to the fact that the PDF of the sum
of
random variables is the convolution of their PDFs? If so, the sum of
random variables can already be computed as "liftA2 (+) :: Num a =>
RVar a
> RVar a > RVar a" since RVar is an applicative functor (or using
liftM2
since it's also a monad).
Or perhaps you mean an operator that would take, say, 2 values of the
'Uniform' data type and return an instance of the 'Triangular' type
corresponding to the convolution of the distributions?
I think I had something like the former in mind. I didn't realize
liftA2/M2 would do it. When I did this last, I just wrote a monadic
action to sample values from different RVars. I should learn the
higher order monad functions.
On the other hand, it might be kind of nice if RVar's knew which PDF
they are over. It's hard for me to see how that would be done with
Haskell.
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