EPMC estimation in discriminant analysis when the dimension and sample sizes are large
2017
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 present a numerical comparison between
the performance of our estimator and that of the other estimators based on Okamoto
(1963, 1968) and Fujikoshi and Seo (1998). It is shown that the bias and the mean
squared error of our estimator are less than those of the other estimators.
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