Find a family of conjugate priors for the likelihood 1(|x) = p(x|a,), where p(x |a, ) is
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Find a family of conjugate priors for the likelihood 1(β|x) = p(x|a,β), where p(x |a, β) is as in the previous question, but a is known.
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Find a (two-dimensional) sufficient statistic for (a, β) given an n-sample x = (x1, x2,...,xn) from the two-parameter gamma distribution
where the parameters a and β can take any values in
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