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All theory of the previous sections is based on the probability
of the distance between *two* points in phase space, which
depends on the correlation dimension or .
By taking the maximum of distances between -couples of
points [Ellner, 1988,Grassberger and Procaccia, 1984], the for integer values of
can be estimated,
but this requires a much larger number of points.
It could be that the method of generalizing the correlation
integral as described in Chapter 4 can be used to derive
maximum likelihood estimators of .
Furthermore, Göttsche and Huber [Göttsche and Huber, ] estimate
the spectrum of singularities [Halsey et al., 1986],
from which the can be computed.

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