Glen Barnett [EMAIL PROTECTED] wrote in message
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Chia C Chong [EMAIL PROTECTED] wrote in message
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Glen [EMAIL PROTECTED] wrote in message
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Do you want to make any assumptions about the form of the conditional,
or the joint, or any of the marginals?
Well, the X Y are dependent and hence there are being descibed by a
joint
PDF.
This much is clear.
I am not sure what other assumption I can make though..
I merely though you may have domain specific knowledge of the variables
and
their likely relationships which might inform the choice a bit (cut down
the
space
of possibilities).
Can you at least indicate whether any of them are restricted to be
positive?
All values of X and Z are positive while Y can have both positive and
negative values.
In fact, X has the range span from 0 to 250 (time) and Y has values that
span from -60 to +60 (angle) and Z has some positive values. Note that, the
joint PDF of X Y was defined as f(X,Y)=f(Y|X)f(X) in which f(Y|X) is a
conditional Gaussian PDF and f(X) is an exponential PDF. The plot of the 3rd
variable, Z (Power) i.e. Z vs X and Z vs.Y, respectively shows that Z has
some kind of dependency on X and Y, hence, my original post was asking the
possible method of finding the conditional PDF of Z on both X and Y. I hope
this makes things a little bit clearer or more complicated???
Thanks..
CCC
Glen
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