If we know that the Cramer-Rao lower bound for a regular and unbiased estimator of A is L is any of the aforementioned estimators an efficient one?

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Let X1, . . ., Xn (n > 3) be a r.s. from a population having a Poisson distribution with parameter A.
In order to estimate the parameter A, we consider the two estimators:
X1+X2+
3x1+
..... ..
..... ..
then
n + 2
If we know that the Cramer-Rao lower bound for a regular and unbiased estimator of A is L =
is any of the aforementioned estimators an efficient one?
Select one:
a.
only A2
b. non of them efficient
O C.
only A
d. both of them
Transcribed Image Text:Let X1, . . ., Xn (n > 3) be a r.s. from a population having a Poisson distribution with parameter A. In order to estimate the parameter A, we consider the two estimators: X1+X2+ 3x1+ ..... .. ..... .. then n + 2 If we know that the Cramer-Rao lower bound for a regular and unbiased estimator of A is L = is any of the aforementioned estimators an efficient one? Select one: a. only A2 b. non of them efficient O C. only A d. both of them
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