From the approximation which holds for large n, deduce an expression for the log-likelihood L(px, y) and
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From the approximation
which holds for large n, deduce an expression for the log-likelihood L(pΙx, y) and hence show that the maximum likelihood occurs when ρ = r. An approximation to the information can now be made by replacing r by ρ in the second derivative of the likelihood, since ρ is near r with high probability. Show that this approximation suggests a prior density of the form
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