Linear discriminant analysis with misallocation in training samples

Linear discriminant analysis with misallocation in training samples
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训练样本中错误分配的线性判别分析

DOI:
10.1080/01621459.1984.10477109
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发表时间:
1984
影响因子:
3.7
通讯作者:
J. McKeon
J. McKeon
中科院分区:
数学1区
文献类型:
--
作者:
R. Chhikara;J. McKeon

文献摘要

被引文献

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摘要研究了训练样本存在误分配情况下两类问题的线性判别分析。建立了误分配模型的一般方法,导出了混合分布的均值向量和协方差矩阵。得到了判别边界的渐近分布,并给出了误差率的渐近前两阶矩。通过考虑随机和两个非随机误分配模型的错误率的某些数值结果。
Abstract Linear discriminant analysis for a two-class case is studied in the presence of misallocation in training samples. A general approach to modeling of misallocation is formulated, and the mean vectors and covariance matrices of the mixture distributions are derived. The asymptotic distribution of the discriminant boundary is obtained, and the asymptotic first two moments of the error rates are given. Certain numerical results for the error rates are presented by considering the random and two nonrandom misallocation models.