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Multivariate Analysis

Statistical Discrimination Analysis Using the Maximum Function

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Pages 320-336 | Received 01 Feb 2006, Accepted 01 May 2007, Published online: 05 Feb 2008

References

  • Ben Bassat , M. ( 1982 ). Use of distance measures, information measures and error bounds in feature evaluation . In: Krishnaiah , P. R. , Kanal , L. N. , eds. Handbook of Statistics . Vol. 2 , Amsterdam : North-Holland Pub. Co. , pp. 773 – 791 .
  • Devroye , L. , Gyorfi , L. , Lugosi , G. ( 1996 ). A Probabilistic Theory of Pattern Recognition . New York : Springer .
  • Fisher , R. A. ( 1936 ). The statistical utilization of multiple measurements . Ann. Eugenic 7 : 376 – 386 .
  • Fukunaga , K. ( 1990 ). Introduction to Statistical Pattern Recognition. , 2nd ed. New York : Academic Press .
  • Glick , N. ( 1973 ). Separation and probability of correct classification among two or more distributions . Ann. Inst. Statist. Math. 25 : 373 – 382 .
  • Glick , N. ( 1972 ). Sample-based classification procedures derived from density estimators . J. Amer. Statist. Assoc. 67 : 116 – 122 .
  • Gonzalez , R. C. , Woods , R. E. , Eddins , S. L. ( 2004 ). Digital Image Processing with Matllab . New York : Prentice-Hall .
  • Inman , H. F. , Bradley , E. L. ( 1989 ). The overlapping coefficient as a measure of agreement between probability distributions and point estimation of the overlap of two normal densities . Commun. Statist. Theor. Meth. 18 ( 10 ): 4851 – 3872 .
  • Johnson , R. , Wichern , D. ( 1998 ). Applied Multivariate Statistical Analysis. , 4th ed. New York : Prentice-Hall .
  • Kendall , M. , Stewart , A. , Ord , S. ( 1983 ). The Advanced Theory of Statistics . Vol. 3 . , 4th ed. London : Mc Millan .
  • Mardia , K. V. , Kent , J. T. , Bibby , J. M. ( 1979 ). Multivariate Analysis . New York : Academic Press .
  • Martinez , W. L. , Martinez , A. R. ( 2002 ). Computational Statistics Handbook with Matlab . Boca Raton , FL : Chapman & Hall/CRC .
  • Naiman , D. Q. , Wynn , H. P. ( 1992 ). Inclusion-exclusion-Bonferroni identities and inequalities for discrete tube-like problems via Euler characteristics . Ann. Statist. 20 : 43 – 76 .
  • Pham-Gia , T. ( 2007 ). Hammax, a computer software for discrimination and clustering . Université de Moncton , Moncton , NB , Canada .
  • Pham-Gia , T. , Turkkan , N. ( 2006 ). Bayesian analysis in the L1-norm of the mixing proportion using discriminant analysis . Metrika 64 ( 1 ): 1 – 22 .
  • Pham-Gia , T. , Turkkan , N. , Bekker , A. ( 2007 ). Bounds for the Bayes error in classification: a Bayesian approach using discriminant analysis . Statist. Meth. Applic. 16 : 7 – 26 .
  • Sutradhar , B. C. ( 1990 ). Discrimination of observations into one of two t-populations . Biometrics 46 : 827 – 835 .
  • Thabane , L. , Drekic , S. ( 2004 ). Discrimination between two generalized multivariate modified Bessel populations . Int. J. Statist. Sci. 3 : 209 – 219 .

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