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?

MATLAB: An Introduction with Applications
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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:
3x11
X1+X2+
......
.... ...
, then
%3D
%3D
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. both of them
b.
only A1
C. non of them efficient
d.
only A2
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: 3x11 X1+X2+ ...... .... ... , then %3D %3D 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. both of them b. only A1 C. non of them efficient d. only A2
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