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 + 3x, + . + Xn ....... ....... !! then in. 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. non of them efficient b. both of them C. only A2 d. only A

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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
....t X
.......+ X.
%3!
then
=
n
n+2
If we know that the Cramer-Rao lower bound for a regular and unbiased estimator of A is L.
%3D
is any of the aforementioned estimators an efficient one?
Select one:
a. non of them efficient
b. both of them
C.
only A,
d.
only A
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 ....t X .......+ X. %3! then = n n+2 If we know that the Cramer-Rao lower bound for a regular and unbiased estimator of A is L. %3D is any of the aforementioned estimators an efficient one? Select one: a. non of them efficient b. both of them C. only A, d. only A
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