Biomedical Engineering Reference
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and d(^
n
;
n
) d(^
n
;
0
) + d(
0
;
n
) !
p
0 by the consistency of ^
n
. Hence,
r
n
d(^
n
;
n
) = O
p
(1) by Theorem 3.4.1 of van der Vaart and Wellner (1996).
In addition, because d(
n
;
0
) Cn
p
, it directly results in
r
n
d(^
n
;
0
) r
n
d(^
n
;
n
) + r
n
d(
n
;
0
) = O
p
(1):
The proof is complete.
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