** Next:** Variance of the estimator
** Up:** Deriving the Optimal Scoring
** Previous:** Deriving the Optimal Scoring

*O*( (*w*/*n* - *S*_{E}(*d*))^{3})

Simplifying *S*_{E}^{-1} and its derivatives we can rewrite the
above equation as

Taking expected values we find that

since
*E*[*w*/*n* - *S*_{E}(*d*)] = *E*[*w*/*n*] - *S*_{E}(*d*) = 0. When
then
,
and hence
*E*[*d*^{*}] is a consistent estimator (we could correct it to any
order of *n* if desired).

*Chantal Korostensky*

*1999-07-14*