References
- Alam , K. , Rizvi , M. H. ( 1966 ). Selection from multivariate populations . Ann. Inst. Statist. Math. 18 : 307 – 318 .
- Anderson , T. W. ( 2003 ). An Introduction to Multivariate Statistical Analysis. , 3rd ed. New York : Wiley .
- Bechhofer , R. E. , Santner , T. J. , Goldsman , D. M. ( 1995 ). Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons . New York : Wiley .
- Brown , L. D. , Johnstone , I. M. , MacGibbon , K. B. ( 1981 ). Variation diminishing transformations: a direct approach to total positivity and its statistical applications . J. Amer. Statist. Assoc. 76 : 824 – 832 .
- Cai , W. , Chen , P. ( 2007 ). Testing and selecting among k multivariate normal populations for equivalence with respect to a standard vector . Submitted to J. Multivariate Anal .
- Chen , P. ( 2005 ). An interval estimation for the number of signals . Signal Proces. 85 : 1623 – 1633 .
- Chen , P. , Melvin , W. L. , Wicks , M. C. ( 1999 ). Screening among multivariate normal data . J. Multivariate Anal. 69 : 10 – 29 .
- Chen , P. , Panchapakesan , S. ( 2004 ). Detecting multiple targets simultaneously at k sites . Commun. Statist. Theor. Meth. 33 : 1667 – 1688 .
- Finner , H. , Roters , M. ( 1993 ). Distribution functions and log-concavity . Commun. Statist. Theor. Meth. 22 : 2381 – 2396 .
- Finner , H. , Roters , M. ( 1997 ). Log-concavity and inequalities for Chi-square, F and Beta distributions with applications in multiple comparisons . Statistica Sinica 7 : 771 – 787 .
- Gibbons , J. D. , Olkin , I. , Sobel , M. ( 1999 ). Selecting and Ordering Populations: A New Statistical Methodology . Classics in Applied Mathematics , vol. 26 . Philadelphia : SIAM . Unabridged reproduction of the same title . New York : Wiley (1977) .
- Gupta , S. S. ( 1966 ). On some selection and rakings procedures for multivariate normal populations using distance functions . In: Krishnaiah , P. R. , ed. Multivariate Analysis . New York : Academic Press .
- Gupta , S. S. , Sobel , M. ( 1958 ). On selecting a subset which contains all populations better than a standard . Ann. Math. Statist. 29 : 274 – 281 .
- Gupta , S. S. , Studden , W. J. ( 1970 ). On some selection and ranking procedures with applications to multivariate populations . In: Bose , R. C. , Chakravarti , I. M. , Mahalanobis , P. C. , Rao , C. R. , Smith , K. J. C. , eds. Essays in Probability and Statistics . Chapel Hill : University of North Carolina Press .
- Gupta , S. S. , Panchapakesan , S. ( 2002 ). multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations . Classics in Applied Mathematics , vol. 44 . Philadelphia : SIAM . Unabridged reproduction of the same title . New York : Wiley (1979) .
- Kelly , E. J. ( 1986 ). An adaptive detection algorithm . IEEE Trans. Aerospace Electron. Syst. 22 ( 1 ): 115 – 127 .
- Krishnaiah , P. R. , Rizvi , M. H. ( 1966 ). Some procedure for selection of multivariate normal populations better than a control . In: Krishnaiah , P. R. , ed. Multivariate Analysis . New York : Academic Press .
- Lehmann , E. L. ( 1961 ). Some model I problems of selection . Ann. Math. Statist. 32 : 990 – 1012 .
- Lehmann , E. L. , Romano , J. P. ( 2005 ). Testing Statistical Hypothesis. , 3rd ed. New York : Springer Science, Inc.
- Robey , F. C. , Fuhrmann , D. R. , Kelly , E. J. , Nitzberg , R. ( 1992 ). A CFAR adaptive matched filter detector . IEEE Trans. Aerospace Electron. Syst. 28 ( 1 ): 208 – 216 .
- Tong , Y. L. ( 1980 ). Probability Inequalities in Multivariate Distributions . New York : Academic Press, Inc.
- Turnbull , B. W. ( 1976 ). Multiple decision rules for comparing several populations with a fixed known standard . Commun. Statist. Theor. Meth. A5 ( 13 ): 1225 – 1244 .