A Classification Rule Whose Probability of Misclassification is Independent of the Variance |
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| Authors: | O. S. Adegboye |
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| Affiliation: | Department of Statistics, University of Ilorin, Ilorin, Nigeria |
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| Abstract: | An observation ×o is to be classified into one of two normal populations φ1 and φ2. A classification rule, the Two-stage sample Rule, R(TS), whose probability of misclassification, P[MC], is independent of the common but unknown variance is proposed. Some optimal properties of R(TS) are also discussed and some values of P[MC | R(TS)], the probability of misclassification given the rule R(TS), are tabulated. |
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