5. Suppose Y₁, Y2,..., Yn are independent random variables whose density is for y > 0 for some > 0. (a) Show that the MLE for is f(y) = 30y²e-y³ n ÔMLE= Σ1 (b) Use the R code to estimate the bias and the variance when n = 20 and 0 = 2.

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5. Suppose Y₁, Y2,..., Y are independent random variables whose density is
for y0 for some > 0.
(a) Show that the MLE for is
f(y) = 30y²e-04³
n
ÔMLE =
ΣΤ
(b) Use the R code
to estimate the bias and the variance when n = 20 and 0 = 2.
Transcribed Image Text:5. Suppose Y₁, Y2,..., Y are independent random variables whose density is for y0 for some > 0. (a) Show that the MLE for is f(y) = 30y²e-04³ n ÔMLE = ΣΤ (b) Use the R code to estimate the bias and the variance when n = 20 and 0 = 2.
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