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Possibly Silly Question on Manipulating Statistical Distributions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg9352] Possibly Silly Question on Manipulating Statistical Distributions
  • From: Luci Ellis <elisha at dot.net.au>
  • Date: Sat, 1 Nov 1997 03:33:38 -0500
  • Sender: owner-wri-mathgroup at wolfram.com

I would like to plot the PDFs and CDFs of random variables, where said
r.v.'s are combinations of other random variables with known, standard
distributions.
Defining a distribution like:

xdist = PoissonDistribution[10]
ydist = NormalDistribution[0,1]
zdist = NormalDistribution[0,2]

Then:
wdist = ydist + zdist
udist = xdist * ydist

return: PoissonDistribution[10]*NormalDistribution[0,1] or
	NormalDistribution[0,1]+NormalDistribution[0,2] as expected.
But good luck trying to plot these beasties' PDFs.

I know you can't just add the PDFs or anything crazy like that. Is there
a way to get these distributions without doing multiple samples from
the distribution and building it up empirically?

Am I missing something?

Thanks in advance,
Luci

--------------
Luci Ellis:  elisha at dot.net.au
http://www.dot.net.au/~elisha



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