If X|S ~ N(0,S) and S ~ Inverse-Chisquare(nu), show that X ~

sobadatmath

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If X|S ~ N(0,S) and S ~ Inverse-Chisquare(nu), show that X ~ t(nu).

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I hope I uploaded this image correctly... and thanks for anyone who can help!
 
Re: If X|S ~ N(0,S) and S ~ Inverse-Chisquare(nu), show that

You need to make the integral look like a gamma distribution.
 
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