16
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

An approximation of the unconditional error rates of the sample linear discriminant function

, &
Pages 1941-1969 | Received 01 Feb 1993, Published online: 27 Jun 2007

References

  • Anderson , T.W. 1984 . An Introduction to Multivariate Statistical Analysis , New York : Wiley .
  • Bowker , A. 1960 . “ A Representation of Hotelling's T2 and Anderson's Classification Statistic W in Terms of' Simple Statistics ” . In Contributions to Probability and Statistics , Stanford University Press . Chapter 12 in Olkin, I
  • Bowker , A. and Sitgreaves , R. 1961 . “An Asymptotic Expansion for the Distribution Function of the W-Classification Statistics” Chapter 9 ” . In Studies in Item Analysis and Prediction , Edited by: Solomom , H. Stanford University Press .
  • Deev , A. 1972 . Asymptotic Expansions of Statistic Distributions of Discriminant Analysis W, M, W∗ . Stat. Metody Klassif, MGU, Moscow , : 6 – 51 . (in Russian)
  • Efron , B. 1975 . The Efficiency of Logistic Regression Compared to Normal Discriminant Analysis . Journal of the American Statistical Association , 70 : 892 – 898 .
  • Kharin , Y. 1984 . The Investigation of Risk for Statistical Classifiers using Minimum Estimators . Theory Prob. Appl , 28 : 623 – 630 .
  • Lachenbruch , P. and Mickey , R. 1968 . Estimation of Error Rates in Discriminant Analysis . Technometrics , 10 : 1 – 11 .
  • Okamoto , M. 1963 . An Asymptotic Expansion for the Distribution of the Linear Discriminant Function . Annals of Mathematical Statistics , 34 : 1286 – 1301 .
  • Okamoto , M. 1968 . Correction to “An Asymptotic Expansion for the Distribution of the Linear Discriminant Function” . Annals of Mathematical Statistics , 39 : 1358 – 1359 .
  • Raudys , S. 1972 . On the Amount of Priori Information in Designing the Classification Algorithm . Tech. Cybern. , 4 : 168 – 174 . (in Russian)
  • Siotani , M. , Hayakawa , T. and Fujikoshi , Y. 1985 . “ Modern Multivariate Statistical Analysis ” . In A Graduate Course and Hand Book , Columbers, Ohio : American Sciences Press .
  • Siotani , M. and Wang , R. 1977 . Asymptotic Expansions for Error Rates and Comparison of the W-Procedure and the Z-Procedure in Discriminant Analysis , Amsterdam : North-Holland .
  • Sitgreaves , R. 1952 . On the Distribution of Two Random Matrices Used in Classification Procedures . Annals of Mathematical Statistics , 23 : 263 – 270 .
  • Van Ness , J. and Simpson , C. 1976 . On the Effects of Dimension in Discriminant Analysis . Technometrics , 14 : 175 – 187 .
  • Wyman , F. , Young , D. and Turner , D. 1990 . A Comparison of Asymptotic Error Rate Expansions for the Sample Linear Discriminant Function . Pattern Recognition , 23 ( 7 ) : 775 – 783 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.