Suppose p n b ! d N 0, v2 and set 2 and
Question:
Suppose p
n
¡bµ¡µ
¢
¡!
d N
¡
0, v2¢
and set ¯ Æ µ2 and b¯ Æ bµ2.
(a) Use the DeltaMethod to obtain an asymptotic distribution for p
n
¡ b¯¡¯
¢
.
(b) Now suppose µ Æ 0. Describe what happens to the asymptotic distribution fromthe previous part.
(c) Improve on the previous answer. Under the assumption µ Æ 0, find the asymptotic distribution for n b¯ Æ nbµ2.
(d) Comment on the differences between the answers in parts 1 and 3.
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