Page 307 - Introduction to Statistical Pattern Recognition
P. 307
6 Nonparametric Density Estimation 289
(6.128)
(6.129)
(6.130)
The orthogonal condition is given by
1 X2
i
exp(-- )@,(~)@~(x)dx !6,, . (6.1 31)
=
202
The coefficients L', can be obtained by
(6.132)
where mi is the ith moment of p (x) as
(6.133)
For example, if p(x) has zero-mean and has o2 as the variance, then
(6.134)
(6.135)
mo
-=o, (6.136)
(3"