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Errors of misclassification in discrimination with data from truncated <Emphasis Type="Italic">t</Emphasis> populations |
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| Authors: | |
| Institution: | (1) Department of Mathematics, Imperial College of Science, Technology and Medicine, Huxley Building, 180 Queen’s Gate, London, SW7 2AZ, UK;(2) School of Engineering, Computer Science and Mathematics, University of Exeter, North Park Road, Exeter, EX4 4QE, UK;(3) Institute for Mathematical Sciences, Imperial College of Science, Technology and Medicine, 53 Princes Gate, London, SW7 2AZ, UK; |
| Abstract: | The distribution of the probabilities of misclassification is derived in this paper, which are reproduced by the use of the linear discriminant function. The statistical background is two independent doubly truncated t populations with distinct location parameters and common scale parameter and degrees of freedom. The behavior of the linear discriminant function is studied by comparing the distribution function of the errors of misclassification under the truncated t and truncated normal models. |
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