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QUESTION

Suppose that x is a real number and that s,t are positive numbers and Show that f(s|x,) has the shape of a Gamma distribution density and identify...

Suppose that x is a real number and that s,t are positive numbers and

Show that f(s|x,ν) has the shape of a Gamma distribution density and identify the parameters off(s|x,ν). Use this to show that

so that x|ν follows a T distribution with ν degrees of freedom.

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