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Selection from multivariate normal populations. (English) Zbl 0148.13804


Keywords:

statistics
Full Text: DOI

References:

[1] Anderson, T. W., An Introduction to Multivariate Statistical Analysis (1958), New York: John Wiley and Sons, New York · Zbl 0083.14601
[2] Armitage, J. V.; Krishnaiah, P. R., “ Tables for the studentized largest chi-square distribution and their applications,” (1964), Ohio: Aerospace Research Laboratories, WP-AFB, Ohio
[3] Bechhofer, R. E., “ A single-sample multiple decision procedure for ranking means of normal populations with known variances,”, Ann. Math. Statist., 25, 16-39 (1954) · Zbl 0055.13003 · doi:10.1214/aoms/1177728845
[4] S. S. Gupta, “On a decision rule for a problem in ranking means,”Mimeo. Series, No. 150, Inst. of Statist., University of North Carolina, 1956. · Zbl 0073.35901
[5] Gupta, S. S., “ On a selection and ranking procedure for gamma populations,”, Ann. Inst. Statist. Math., 14, 199-216 (1963) · Zbl 0128.13201 · doi:10.1007/BF02868642
[6] S. S. Gupta, “On some selection and rankings procedures for multivariate normal populations using distance functions,”Mimeo. Series, No. 43, Department of Statistics, Purdue University, 1965.
[7] Hall, W. J., “ The most-economical character of some Bechhofer and Sobel decision rules,”, Ann. Math. Statist., 30, 964-969 (1959) · Zbl 0087.14301 · doi:10.1214/aoms/1177706079
[8] Lehmann, E. L., “Ordered families of distributions,”, Ann. Math. Statist., 26, 399-419 (1955) · Zbl 0065.11906 · doi:10.1214/aoms/1177728487
[9] Lehmann, E. L., Testing Statistical Hypotheses (1959), New York: John Wiley and Sons, New York · Zbl 0089.14102
[10] Mahalanobis, P. C., “On tests and measures of group divergence,”, J. Asiat. Soc. Beng., 26, 541-588 (1930) · JFM 58.1182.22
[11] M. Sobel, “Single sample ranking problems with Poisson populations,”Tech. Report, No. 19, Dept. of Statistics, University of Minnesota, 1963.
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