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Our next goal is to construct a scoring matrix that is optimal to
estimate distances. An optimal estimator (scoring function) has
the smallest variance.
d* = SE-1(w/n) be our estimate of the distance using w.
To compute the expected value of d*
and its variance, we use the Taylor expansion of
These computations were done with a computer
algebra system (Maple), they are too tedious and error prone to be
done by hand.