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Sufficient Statistics and Exponential Families
Sufficient Statistics and Exponential Families
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Intermediate
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Question 1 of 6
120s
intermediate (4/10)
state theorem
A statistic
T
(
X
1
,
…
,
X
n
)
is SUFFICIENT for
θ
when which property holds?
Hide and think first
A.
T
has variance equal to the Cramer-Rao bound
1/
(
n
I
(
θ
))
at every sample size.
B.
T
is the minimum-variance unbiased estimator of
θ
in the class of all estimators.
C.
The conditional distribution of
X
given
T
(
X
)
=
t
does not depend on
θ
.
D.
T
is a BIJECTION of the original sample, preserving all observed values exactly.
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