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Distribution-free partial discrimination procedures. (English) Zbl 0658.62072
This paper reviews discrimination procedures which provide distribution- free control over the individual misclassification probabilities. Particular emphasis is placed on the two-population rank method developed by J. D. Broffitt, R. H. Randles and R. V. Hogg [J. Am. Stat. Assoc. 71, 934-939 (1976; Zbl 0336.62047)] which utilizes the general formulation of C. P. Quesenberry and M. P. Gessaman [Ann. Math. Stat. 39, 664-673 (1968; Zbl 0162.220)]. It is shown that the rank method extends from two to three or more populations in a natural and flexible fashion. A Monte Carlo study compares two suggested extensions with others proposed by Broffitt.
62H30 Classification and discrimination; cluster analysis (statistical aspects)
Full Text: DOI
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