
92 Statistical Computing in Nuclear Imaging
k = 1
k = 2
k = 3
k = 4
i = 1
category 0
FIGURE 3.10 Schematic drawing of a single voxel (shaded) with index i = 1 and
multiple detector elements (four) indexed by k = 1, . . . , 4. The number of decays that
were not detected and the number of nuclei that did not decay comp rise category 0
of multinomial distribution.
Poisson-multinomial).
The Poisson–multinomial distribution of g can be approximated by the
product of independent Poisson distributions using the generalization of Le
Cam’s Theorem [71].
Generalization of Le Cam’ s Theorem for multinomial distri-
butions: Suppose we consider I numbe r of vector-QoIs ...