An asymptotic approximation for EPMC in linear discriminant analysis based on monotone missing data |
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Authors: | Nobumichi Shutoh |
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Institution: | a Department of Mathematical Information Science, Graduate School of Science, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan |
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Abstract: | In this paper, we propose an asymptotic approximation for the expected probabilities of misclassification (EPMC) in the linear discriminant function on the basis of k-step monotone missing training data for general k. We derive certain relations of the statistics in order to obtain the approximation. Finally, we perform Monte Carlo simulation to evaluate the accuracy of our result and to compare it with existing approximations. |
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Keywords: | Linear discriminant analysis Probabilities of misclassification Asymptotic approximation Monotone missing data |
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