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6  Nonparametric Density Estimation                           283



                                               TABLE 6-4

                               ESTIMATION OF INTRINSIC DIMENSIONALITY

                                                       Gaussian    Double
                                                        pulse    exponential
                               Averaged                  0.74       0.77
                                                         0.99       1.02
                               distance      3NN         1.14       1.19
                                             4NN         1.26       1.31
                               ;insic  i INN &~NN        3.02       3.13
                               dimension   2NN & 3NN     3.19       2.97
                               estimated   3NN & 4NN     3.13       3.14

                                           Average       3.1  1     3.08










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                                                                     - -1
                                        Fig. 6-4  Local subsets of data.
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