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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 3-D 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
2004-01-20