A Simple Regularization Procedure for Discriminant Analysis

References

• Barker , M. , Rayens , W. ( 2003 ). PLS for discrimination . Journal of Chemometrics 17 : 166 – 173 . [CSA]
   Web of Science ®Google Scholar
• Campbell , N. A. ( 1980 ). Shrunken estimator in discriminant and canonical variate analysis . Appl. Statist. 29 : 5 – 14 . [CSA] [CROSSREF]
   Google Scholar
• Di Pillo , P. J. ( 1976 ). The application of biais to discriminant analysis . Comm. Statist. Theory & Methods A5 : 843 – 854 . [CSA]
   Google Scholar
• Forina , M. , Tiscornia , E. ( 1982 ). Pattern recognition methods in the prediction of Italian olive oil origin by their fatty acid content . Annali di Chimica 72 : 143 – 155 . [CSA]
   Google Scholar
• Forina , M. , Armanino , C. , Lanteri , S. , Tiscornia , E. ( 1983 ). Classification of olive oils from their fatty acid composition . In Food Research and Data Analysis . Martens , H. , Russwurn , H. Jr. , eds. England : Applied Science Publishers Ltd., Barking , pp. 189 – 214 .
   Google Scholar
• Frank , I. , Lanteri , S. ( 1989 ). Classification models: Discriminant analysis, SIMCA, CART . Chemometries and Intelligent Laboratory Systems 5 : 247 – 256 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Frank , I. , Friedman , J. H. ( 1989 ). Classification: Oldtimes and newcomers . Journal of Chemometrics 3 : 463 – 475 . [CSA] [CROSSREF]
   Google Scholar
• Friedman , J. H. ( 1989 ). Regularized discriminant analysis . JASA 84 ( 405 ): 165 – 175 . [CSA]
   Web of Science ®Google Scholar
• Marco , V. R. , Young , D. M. , Turner , D. W. ( 1987 ). The Euclidean distance classifier: An alternative to the linear discriminant function . Commun. Statist. Comput & Simula. 16 ( 2 ): 485 – 505 . [CSA]
   Web of Science ®Google Scholar
• McLachlan , G. J. ( 1992 ). Discriminant Analysis and Statistical Pattern Recognition . New York : Wiley .
   Google Scholar
• Mkhadri , A. , Celeux , G. , Nasroallah , A. ( 1997 ). Regularization in discriminant analysis: An overview . Computational Statistics & Data Analysis 23 : 403 – 423 . [INFOTRIEVE] [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Naes , T. , Indahl , U. ( 1998 ). A unified description of classical classification methods for multicollinear data . Journal of Chemometrics 12 : 205 – 220 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Naes , T. , Isaksson , T. , Fearn , T. , Davies , T. ( 2002 ). User-friendly Guide to Multivariate Calibration . UK : NIR publication .
   Google Scholar
• Nocairi , H. , Hanafi , M. , Qannari , E. M. ( 2005a ). Approche continuum de la discrimination de type Ridge . Revue de Statistique Appliquée LIII ( 2 ): 24 – 41 . [CSA]
   Google Scholar
• Nocairi , H. , Qannari , E. M. , Vigneau , E. , Bertrand , D. ( 2005b ). Discrimination on latent variables with respect to patterns with multi-collinear data . Computational Statistics and Data Analysis 48 ( 1 ): 139 – 147 . [CSA] [CROSSREF]
   Google Scholar
• Rao , C. R. ( 2002 ). Linear Statistical Inference and Its Application. , 2nd ed. New York : J. Wiley .
   Google Scholar
• Raudys , S. , Pikelis , V. ( 1980 ). On dimensionality, sample size, classification error, and complexity of classification algorithm in pattern recognition, IEEE Trans . On Pattern Analysis and Machine Intelligence 2 ( 3 ): 242 – 252 . [CSA]
   PubMed Web of Science ®Google Scholar
• Wold , S. ( 1976 ). Pattern recognition by means of disjoint principal components models . Pattern Recognition, Pergamon 8 : 127 – 139 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar