2. Determine the optimal decision de D = R for the simple prediction problem where Y has a continuous distribution on (0, 0) with density f() satisfying • f(x)=0 for x ≤ 0; • f(x) > 0 and decreasing in x for x > 0 and the loss function L(dly) is given by for some known 0 C,

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2. Determine the optimal decision d E D = R for the simple prediction problem where Y has a
continuous distribution on (0, ∞) with density f() satisfying
f(x) = 0 for x ≤ 0;
• f(x) > 0 and decreasing in x for x > 0
●
and the loss function L(dly) is given by
for some known 0 <C<∞.
L(d\y):
-
0
{:
1
if |d
if |d
y| ≤ C
y > C,
Transcribed Image Text:2. Determine the optimal decision d E D = R for the simple prediction problem where Y has a continuous distribution on (0, ∞) with density f() satisfying f(x) = 0 for x ≤ 0; • f(x) > 0 and decreasing in x for x > 0 ● and the loss function L(dly) is given by for some known 0 <C<∞. L(d\y): - 0 {: 1 if |d if |d y| ≤ C y > C,
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