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Certain nonparametric classification rules and their asymptotic efficiencies. (English) Zbl 0378.62052


MSC:

62G99 Nonparametric inference
62H30 Classification and discrimination; cluster analysis (statistical aspects)
Full Text: DOI

References:

[1] Anderson, A distribution-free discrimination procedure based on clustering, IEEE Trans. Information Theory IT-16 pp 541– (1970) · Zbl 0198.52801
[2] Chernoff, Asymptotic normality and efficiency of certain non-parametric test statistics, Ann. Math. Statist. 29 pp 972– (1958) · Zbl 0092.36501
[3] Das Gupta, Non-parametric classification rules, Sankhyã Ser. A 26 pp 25– (1964)
[4] Fix, E., and Hodges, J. L. (1951a). Discriminatory analysis: non-parametric discrimination, consistency properties. Report Number 4, School of Aviation Medicine, Randolph Air Force Base, Texas. · Zbl 0715.62080
[5] Fix, E., and Hodges, J. L. (1951b). Discriminatory analysis: non-parametric discrimination, small sample performances. Report Number 11, School of Aviation Medicine, Randolph Air Force Base, Texas.
[6] Govindarajulu, Generalizations of theorems of Chernoff and Savage on the asymptotic normality of test statistics, Proc. Fifth Berkeley Symp. Math. Statist. Prob. 1 pp 609– (1967) · Zbl 0214.46601
[7] Gupta, Some new classification rules for c-univariate populations, Canad. J. Statist. 1 pp 139– (1973)
[8] Kinderman, A. (1973). Asymptotic relative efficiencies of classification rules based on ranks. Unpublished Tech. Report.
[9] Stoller, Univariate two-population distribution-free discrimination, J. Amer. Statist. Assoc. 49 pp 770– (1954) · Zbl 0057.11605
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