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QUESTION 1 [27] Suppose that X1, X2, X3 is a random sample of size n = 3 from an exponential distribution with mean E(X) =
QUESTION 1 [27] Suppose that X1, X2, X3 is a random sample of size n = 3 from an exponential distribution with mean E(X) = 0 and variance V(X) = 02. Consider X = Xit*2+* and Y = min(X1, X2, X3) as competing estimators of 0. Given: The distribution of Y = min(X1, X2, X3) has probability density function: f ( v ) = - -3y/0 ify > 0, elsewhere; 3 and moment generating function My(t) = 3 - 0t
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