1702660110
1702660111
1702660112
1702660113
其中,
1702660114
1702660115
1702660116
1702660117
1702660118
注意到实数的转置等于实数自身,故有:
1702660119
1702660120
1702660121
1702660122
1702660123
令
1702660124
1702660125
1702660126
1702660127
1702660128
则判别规则就成为:
1702660129
1702660130
1702660131
1702660132
1702660133
●当∑1≠∑2时,
1702660134
1702660135
1702660136
1702660137
1702660138
则判别规则为:
1702660139
1702660140
1702660141
1702660142
1702660143
2.多总体间距离的判别
1702660144
1702660145
设有g个m维总体G1,G2,……,Gg,均值向量分别为μ1,μ2,……,μg,协方差矩阵分别为∑1,∑2,……,∑g,则样本X到各组的平方马氏距离是:
1702660146
1702660147
1702660148
1702660149
1702660150
其中,α=1,2,……,g
1702660151
1702660152
判别规则为:
1702660153
1702660154
X∈Gi,若
1702660155
1702660156
1702660157
1702660158
1702660159
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