Page 309 - Introduction to Statistical Pattern Recognition
P. 309
6 Nonparametric Density Estimation 29 1
;
TABLE 6-5
SPECIFICATION OF A DENSITY FUNCTION
OF BINARY VARIABLES
p(X,)
X2Il-1 +1 -1 .. . -I P(X2"-1)
+1
. . .
+1
functions is given as follows [23]:
@O(X) = 1 9
(6.141)
XI -01 117 - an
$2"- I (X) = (1-a2 112 ... (1 - a y '
I)
which is a complete orthonormal set with the kernel
(6.142)
That is,
