Confidence intervals for the mahalanobis distance

Communications in Statistics Part B: Simulation and Computation

Volumn 30, Issue 1, 2001, Pages 37-45

  Reiser, Benjamin ^a  

^a UNIVERSITY OF HAIFA   (Israel)

Author keywords

Generalized Roc criterion; Noncentral F; Optimal error rate; Overlapping coefficient

Indexed keywords

EID: 31244436180     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1081/SAC-100001856     Document Type: Article

References (14)

1. Lachenbruch, P.A. Discriminant Analysis; Hafner: New York, 1975.
2. Rao, P.S.R.S.; Dorvlo, A.S.S. The Jackknife Procedure for the Probabilities of Misclassification. Commun. Statist.-Simula. Computation 1985,14, 774-790.
3. Dorvlo, A.S.S. An Interval Estimator of the Probability of Misclassification. J. Math. Anal. Appl. 1992, 777, 389-394.
4. Bradley, E.L. Overlapping Coefficient. Encyclopedia of Statistical Sciences; 1985.
5. Rom, D.M.; Hwang, E. Testing for Individual and Population Equivalence Based on the Proportion of Similar Response. Stati. Med. 1996, 75, 1489-1505.
6. Inman, H.F.; Bradley, E.L. Hypothesis Tests and Confidence Interval Estimates for the Overlap of Two Normal Distributions with Equal Variances. Envirometrics 1994,5,167-189.
7. Reiser, B.; Faraggi, D. Confidence Intervals for the Overlapping Coefficient: The Normal Equal Variance Case. The Statistician 1999,48,413-418.
8. Su, J.Q.; Liu, J.S. Linear Combinations of Multiple Diagnostic Markers. J. Amer. Statist. Assoc. 1993,88, 1350-1351.
9. Reiser, B.; Faraggi, D. Confidence Intervals for the Generalized ROC Criterion. Biometrics 1997,53,644-652.
10. Madansky, A.; Olkin, I. Approximate Confidence Region for Constraint Parameters. Multivariate Analysis II; Krishnaiah, P.R., Ed.; Academic Press: New York, 1969; 261-286.
11. Radhakrishnan, R. Estimating Mahalanobis's Distance Using Bayesian Analysis. Commun. Statist. - Theor. Methods 1984,13, 2583-2600.
12. Lam, Y.M. In Confidence Limits for Noncentrality Parameters of Noncentral Chi-Squared and F Distributions, ASA Proceedings of Statistical Computing Section, 1987; 441-443.
13. GAUSS. Nonlinear Equation Gauss Applications Aptech Systems, Inc., 1994.
14. Srivastava, M.S.; Carter, E.M. An Introduction to Applied Multivariate Statistics; North Holland: New York, 1983.