A decision theoretic approach to a distribution–free compound classification problem

References

• Govindaraju , Z. and Gupta , A.K. 1977 . Certain nonparametric classification rules: Univariate case . Canadian Journal of Statistics , 5 : 167 – 178 .
   Google Scholar
• Govindarajulu , Z. , Lecam , L. and Raghavarchari , M. 1967 . “ Generalizations of theorems of Chernoff and Savage on the asymptotic normality of test statistics ” . In Proceedings of the Fifth Berkeley smposium on Mathematical Statistics and Probability , Vol. 1 , 609 – 638 . University of California Press .
   Google Scholar
• Gupta , S.D. 1973 . “ Theories and methods in classification: A review ” . In Discriminant Analysis in Classification: A review , Edited by: Cacoullis , T. Academic Press .
   Google Scholar
• Harter , H.L. 1961 . Expected values of normal order statistics . Biometrika , 48 : 151 – 165 .
   Web of Science ®Google Scholar
• Kinderman A. On some properties of classification: Classificatability, asymptotic relative efficiency, and a complete class theorem University of Minnesota 1972 Technical Report No. 178
   Google Scholar
• Marsaglia , G. , Maclaren , M.D. and Bray , T,A. 1964 . A fast procedure for generating normal random variables . Communications of the Association for computing Machinery , 7 : 4 – 10 .
   Web of Science ®Google Scholar
• Randles , R.H. , Broffit , J.D. , Ramberg , J.S. and Hogg , R.V. 1978 . Discriminant analysis based on ranks . Journal of the American Statistical Association , 73 : 379 – 384 .
   Google Scholar
• Schasfsma , W. 1969 . Minimax risk and unbiasedness for multiple decision problems of type I . Annals of Mathematical Statistics , 40 : 1684 – 1720 .
   Google Scholar