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Characteristics of a TransformedDistribution
Posted:
Nov 21, 2012 7:51 PM


Could someone please help me to plot a transformed distribution?
Assuming we have 2 independent random variables, x1 and x2, distributed as Binomial[n,p],
We would like to plot the pdf of the distribution of the random variable
var=x1(1x2)/x2(1x1)
for various values of N (large) and p. This is a discrete distribution with n2 possible values.
I have tried this numerous times, but always encounter either a syntax error or a calculation that times out, even for small values of n.
I have defined the transformed distribution as follows.
or[n_, p_] := TransformedDistribution[(y1/(n  y1))/(y2/(n  y2)), {y1 \[Distributed] BinomialDistribution[n, p], y2 \[Distributed] BinomialDistribution[n, p]}]
but have been unsuccessful trying to plot it, or determine its PDF, CDF, Mean, Variance etc.
Any suggestions appreciated.
LP



