# Question: Let X1 X2 be a random sample from the Cauchy

Let X1, X2 be a random sample from the Cauchy distribution with pdf

Consider the non-informative prior h(θ1, θ2) ∝ 1 on that support. Obtain the posterior pdf (except for constants) of θ1, θ2 if x1 = 3 and x2 = 7. For estimates, find θ1, θ2 that maximizes this posterior pdf; that is, find the mode of that posterior.

Consider the non-informative prior h(θ1, θ2) ∝ 1 on that support. Obtain the posterior pdf (except for constants) of θ1, θ2 if x1 = 3 and x2 = 7. For estimates, find θ1, θ2 that maximizes this posterior pdf; that is, find the mode of that posterior.

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