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# (Solved): Let X1,...,Xn Be A Sample Of Iid Exp(ðœƒ1,ðœƒ2) Random Variables With Common Pdf For And . A) Show...

Let X1,...,Xn be a sample of iid Exp(ðœƒ1,ðœƒ2) random variables with common pdf for and .

a) Show that is jointly sufficient for (ðœƒ1,ðœƒ2).

b) Determine the pdf of .

c) Determine

d) Determine

e) Determine

f) Is an MSE-consistent estimator of ðœƒ2?

g) Given is a complete sufficient statistic for (ðœƒ1 , ðœƒ2 ), determine the UMVUEs of ðœƒ1 and ðœƒ2.

f(x; 61, 62) = = 1
I > 0
=RXR+
7*(1)x)=s
EX(1)
E[X]
Var X (1)

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