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Von Neumann Minimax Theorem
Von Neumann Minimax Theorem
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Difficulty 4-7
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Intermediate
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Question 1 of 3
120s
intermediate (4/10)
state theorem
A *minimax* decision rule
δ
∗
minimizes which functional of the frequentist risk?
Hide and think first
A.
E
π
[
R
(
θ
,
δ
)]
for a worst-case prior
π
, taken before the rule is chosen.
B.
in
f
θ
R
(
θ
,
δ
)
over
δ
; the rule that makes the best-case parameter as good as possible.
C.
sup
θ
R
(
θ
,
δ
)
over
δ
; the rule that makes the worst-case parameter as benign as possible.
D.
R
(
θ
0
,
δ
)
for a designated reference parameter
θ
0
; minimize risk at one fixed point.
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