Fall23 HW3.3. Let 30 ind Exp(0,), 0d Inv-Gamma (a, 1), for i 1,..., n. Find the empirical Bayes estimator of 0, i = 1,...,n (Note: If z~ Exp(0), then p(x) = 1/0e¯z/® and if ~ Inv-Gamma(a, 3), then p(x) = 1/{3ªT(a)}x-ª-¹e-¹/(sz).).

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Fall23 HW3.3. Let
y0nd. Exp(0.),
Inv-Gamma (a, 1),
for i=1,..., n. Find the empirical Bayes estimator of 0,, i 1,..., n (Note: If z~ Exp(0),
then p(x)=1/0e-1/0 and if Inv-Gamma(a, 3), then p(x) = 1/{3ªT(a)}r-a-¹e-¹/³).).
Transcribed Image Text:Fall23 HW3.3. Let y0nd. Exp(0.), Inv-Gamma (a, 1), for i=1,..., n. Find the empirical Bayes estimator of 0,, i 1,..., n (Note: If z~ Exp(0), then p(x)=1/0e-1/0 and if Inv-Gamma(a, 3), then p(x) = 1/{3ªT(a)}r-a-¹e-¹/³).).
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