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Old November 5th, 2009, 02:10 PM
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Default pdf of multiplitude of two RVS

Suppose I have 2 norm RVs of equal std = s: x,y
So what is the pdf of z with z=xy?

I tried googling this question but ...

Thanks!
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Old November 5th, 2009, 05:12 PM
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are these normal rvs?
Let Z=XY and W=Y and find the joint density of Z and W.
Then integrate out W.
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Old November 6th, 2009, 08:29 AM
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Yes They are indentical independent Normal.

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Originally Posted by matheagle View Post
are these normal rvs?
Let Z=XY and W=Y and find the joint density of Z and W.
Then integrate out W.
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Old November 6th, 2009, 02:56 PM
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Quote:
Originally Posted by soliton View Post
Suppose I have 2 norm RVs of equal std = s: x,y
So what is the pdf of z with z=xy?

I tried googling this question but ...

Thanks!
Read this: http://www.math.wm.edu/~leemis/2003csada.pdf

Thread of related interest: Difference of Two Squared Normal Random Variables
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