Number 4 turns out to be an inverse gamma function with parameters alpha= n and beta=...

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Number 4 turns out to be an inverse gamma function with parameters alpha= n and beta= the sum of x sub i

PLEASE ANSWER #5 NOT #4

4. Suppose that X1,X2, 10 pts. the p.d.f. is given by form a random sample from a distribution for which where the unknown parameter θ > 0. Suppose also that the improper prior of θ is m(0) Find the posterior distribution π(θ x). Hint: The inverse gamina distribution from question 6 in Homework 1 is quite relevant. 5. (10 pts.) Suppose that Xi, X2,...Xn form a random sample from the same distribution as in #4. Suppose also that the improper prior of θ is the same as above, π(0)-. Using the result from #4, determine the Bayes estimate of θ under the squared error loss function.

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the impropes po of i gin The pagta-toy, díth1 is ther hen by .J L(티)주(8)d@ d 0 1+1 02 尻 2M 尻entI tb Ће. Bayes estinate ofe un n-H 0 12 6 尻

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Number 4 turns out to be an inverse gamma function with parameters alpha= n and beta=...

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Number 4 turns out to be an inverse gamma function with parameters alpha= n and beta=...

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