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- W196396037 abstract "Publisher Summary This chapter presents some results on the multiple group discriminant problem. The problem of assigning an individual to one of two groups on the basis of a set of observations has been extensively studied since the introduction of the linear discriminant function (LDF) by Fisher. The behavior of the LDF has been considered from the point of view of its distribution when samples are used to estimate the coefficients by Anderson and Okamoto; estimation of error rates by Dunn, Hills, Lachenbruch, and Mickey; and robustness to various departures from the assumptions by Gilbert, Lachenbruch and Lachenbruch, and Sneeringer and Revo. Recently, Glick has shown the asymptotic optimality of plug-in estimators of correct classification rates. Relatively little has been done regarding the problem of assigning an observation to one of k > 2 groups. The chapter reviews two different approaches. The first approach assumes that the populations have density functions whose form is known but whose parameters may not be known. The second approach to the multiple group problem is based on an extension of Fisher's original approach to the two-group problem." @default.
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- W196396037 date "1973-01-01" @default.
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- W196396037 title "SOME RESULTS ON THE MULTIPLE GROUP DISCRIMINANT PROBLEM" @default.
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- W196396037 doi "https://doi.org/10.1016/b978-0-12-154050-0.50017-4" @default.
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