background image
Figure 13. Marginal distribution of
(
)
*
0.5,
0.1
D
v
Fo
s
Bi
f
=
=
when Bi is distributed according to
Equation (36). The surface plot in gray level depicts the bivariate pdf
(
)
*
0.5,
0.1
D
v
Fo
s
Bi
f
=
=
versus
(
)
*
,
D
v
Fo s
Bi
and Bi values. The contour plot depicts the bivariate cumulative density function
(
)
*
0.5,
0.1
0 0
D
v Bi
y Fo
s
x
f
dx dy
=
=
. The projection onto the axis
*
v , defined by the marginal
distribution
(
)
*
0.5,
0.1
0
D
v
Fo
s
x
f
dx
+
=
=
,
gives
the
resulting
distribution
of
(
)
*
0.5,
0.1,
,
D
Bi
v
Fo
Bi
s
s
=
=
(Equation 35). The projection onto the axis Bi, defined by the
marginal distribution
(
)
*
0.5,
0.1
0
D
v
y Fo
s
Bi
f
dy
=
=
gives back the distribution of Bi (Equation 36).
Other parameters are L=0.05 and K=1.