jH w(i)!
w(i)! r(i, v)!(w(i)- r(i,v))!
i ES iE S
M!
H r(i, )!(w(i) r(i,v))!
iE S
Vi e S:w(i) > r(i,v)
is a multinomial coefficient and designating it (via straightforward generalization of the
convention introduced in Eq. 4.4) by
(\M!
-Mw = < (w(i)- r(i,v))!r(i,v)!
0
Vi e S:w(i) > r(i,v)
otherwise
Eq. 9.20
Eq. 9.19 simplifies to
P('(w I = n [r(i,v)!P(i v)] ].
w, rvm iE s
Eq. 9.21
If row v is undifferentiated (i.e. II rvi = 0), then Eq. 9.21 becomes
P(w | v)= (M) P(i I v) = P(w v).
W iEs
It is noted in passing that if M < N = 2L, then it follows from Eq. 9.20 that either
w, r-
{'*'= 0
Eq. 9.22
3w' E- S' --
In the latter case, it is also true that
(M )M