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Since the third constraint depends on two strongly correlated
parameters, we need to consider a joint bivariate Gaussian distribution:
with
, ,
, , and
.
The integral

(15) 
can be still evaluated
analytically but we omit here the final formula, just
giving the 3D plot of the
resulting p.d.f. normalized in the region of interest (Fig. 5).
Figure:
Probability density function of
and
obtained by the constraint given by
.

Giulio D'Agostini
20040120