Question: Show (2.47)-(2.48), namely that for d() E h m(X)X0 2 i then argmin b2Rk d (b) E X X01
Show (2.47)-(2.48), namely that for d(¯) Æ E h¡
m(X)¡X0¯
¢2 i
then
¯ Æ argmin b2Rk d
(b) Æ
¡
E
£
X X0¤¢¡1 E[Xm(X)] Æ
¡
E
£
X X0¤¢¡1 E[XY ] .
Hint: To show E[Xm(X)] Æ E[XY ] use the law of iterated expectations.
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