Application of box-cox transformations to discrimination for the two-class problem

References

• Bickel , P. J. and Doksum , K. A. 1981 . An analysis of transformations revisited . J. Amer. Statist. Assoc , 76 : 296 – 311 .
   Web of Science ®Google Scholar
• Box , G. E. P. and Cox , D. R. 1964 . An analysis of transformations (with discussion) . J. Roy. Statist. Soc , 26 : 211 – 246 .
   Google Scholar
• Chen , H. and Loh , W. Y. 1992 . Bounds on AREs of tests following Box-Cox transformations . Ann. Statist. , To appear.
   Google Scholar
• Doksum , K. A. and Wong , C-W. 1983 . Statistical tests based on transformed data . J. Amer. Statist. Assoc , 78 : 411 – 417 .
   Web of Science ®Google Scholar
• Draper , N. R. and Cox , D. R. 1969 . “ On distributions and their transformation to normality ” . In J.Roy.Statist.Soc. , B Vol. 31 , 472 – 476 .
   Google Scholar
• Groeneveld , R. A. and Meeden , G. 1984 . Measuring skewness and kurtosis . The Statistician , 33 : 391 – 399 .
   Google Scholar
• Hernandez , F. and Johnson , R. A. 1980 . The large-sample behavior of transformations to normality . J. Amer. Statist. Assoc , 75 : 855 – 861 .
   Web of Science ®Google Scholar
• Hinkley , D. V. 1975 . On power transformations to symmetry . Biometrika , 62 : 101 – 111 .
   Web of Science ®Google Scholar
• Lachenbruch , P. A. , Sneeringer , C. and Revo , L. T. 1973 . Robustness of the linear and quadratic discriminant function to certain types of non-normality . Commun. Statist , 1 : 39 – 56 .
   Google Scholar
• Mac Gillivray , H. L. 1986 . Skewness and asymmetry: Measures and orderings . Ann. Statist , 14 : 994 – 1011 .
   Google Scholar
• Serfling , R. J. 1980 . Approximation Theorems of Mathematical Statistics , New York : Wiley .
   Google Scholar
• Subrahmaniam , K. and Chinganda , E. F. 1978 . Robustness of the linear discriminant function to non-normality: Edgeworth series distribution . J.Statist.Plan.& Inf , 2 : 79 – 91 .
   Web of Science ®Google Scholar