Question: Find a (two-dimensional) sufficient statistic for (a, ) given an n-sample x = (x 1 , x 2 ,...,x n ) from the two-parameter gamma

Find a (two-dimensional) sufficient statistic for (a, β) given an n-sample x = (x1, x2,...,xn) from the two-parameter gamma distribution

p(x|a, B) = {pr(a)}-xa- exp(-x/B) (0 < x < 0)

where the parameters a and β can take any values in 0 < a

p(x|a, B) = {pr(a)}-xa- exp(-x/B) (0 < x < 0)

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