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Semiparametric estimation for f<strong>in</strong>ancial durations 249<br />

Then, for ǫ>0<br />

≤ 1<br />

n q ǫ<br />

P<br />

⎧<br />

⎨<br />

�� ���<br />

1<br />

n<br />

C<br />

q ⎩ nq/2<br />

� Wj<br />

�<br />

�<br />

�<br />

� >ǫ<br />

�<br />

≤ E ��� �q� Wi<br />

nqǫq ∞�<br />

i q/2−1 α(i) 1−2/p �q/2<br />

+ n j P q−j ν j<br />

⎫<br />

⎬<br />

⎭<br />

i=P<br />

for any <strong>in</strong>tegers n and P with 0

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