Consider a random sample X1,..., X, with n > 3 from the exponential distribution rith parameter A > 0 and density f(x; A)- I>0. Consider the following two estimators of A:

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Consider a random sample X1,..., X, with n > 3 from the exponential distribution
with parameter A > 0 and density
1
f(x; A) =
e/A
I> 0.
Consider the following two estimators of A:
3
Ex,, X =nX1).
=
i=1
Transcribed Image Text:Consider a random sample X1,..., X, with n > 3 from the exponential distribution with parameter A > 0 and density 1 f(x; A) = e/A I> 0. Consider the following two estimators of A: 3 Ex,, X =nX1). = i=1
Construct an estimator which improves on A (you do not need to have a closed
form for it, but you do need to prove that it is an estimator).
Transcribed Image Text:Construct an estimator which improves on A (you do not need to have a closed form for it, but you do need to prove that it is an estimator).
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