A random sample x = (x 1 ,x 2 ,...,x m ) is available from an N(,)

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A random sample x = (x1,x2,...,xm) is available from an N(λ,ϕ) distribution and a second independent random sample y (y1, y2,..,Yn) is available from an N(µ,2ϕ) distribution. Obtain, under the usual assumptions, the posterior distributions of λ - µ and of ϕ.

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