Page 307 - Introduction to Statistical Pattern Recognition
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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"
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