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In this paper we obtain a higher order asymptotic unbiased estimator for the expected probability of misclassification (EPMC) of the linear discriminant function when both the dimension and the sample size are large. Moreover, we evaluate the mean squared error of our estimator. We also study a numerical comparison for the performance of our estimator with other estimator base on Okamoto (1963), Fujikoshi and Seo (1998). It is shown that the bias and the mean squared error of our estimator is less than the others.

EPMC estimation in discriminant analysis when the dimension and sample sizes are large