suppose that the prior distribution of some parameter theta is a gamma distribution for which the mean is 10 and the variance is 5. determine the prior pdf of theta
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Unless there is something I'm missing, there doesn't seem to be a question here. They tell you the distribution of theta. You know the mean and variance of a gamma; solve for the usual parameters.
Consider parameters such that and
You are told solve for
The pdf will then be
is that really all there is to it?
That's what I read.
The whole 'prior' thing made it sounds bigger than what it was. But everything described was prior so it all links together easily.
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