Question: Let X1, X2, ....Xn be a random sample from the following distribution: f(X) = (1/ )e(-X/ ) for X > 0 = 0 Elsewhere Derive

Let X1, X2, ....Xn be a random sample from the following distribution:

f(X) = (1/)e(-X/) for X > 0

= 0 Elsewhere

Derive the maximum likelihood estimator of . Verify that your answer is a maximum of the likelihood function.

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