Remark concerning a paradoxical situation in behaviour of error rate in discriminant analysis

V. Brailovsky

Statistique et analyse des données (1981)

  • Volume: 6, Issue: 1, page 28-38
  • ISSN: 0750-7364

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Brailovsky, V.. "Remark concerning a paradoxical situation in behaviour of error rate in discriminant analysis." Statistique et analyse des données 6.1 (1981): 28-38. <http://eudml.org/doc/108867>.

@article{Brailovsky1981,
author = {Brailovsky, V.},
journal = {Statistique et analyse des données},
keywords = {behaviour of error rate; adding new samples; deterioration of decision rule quality; linear discriminant analysis; bivariate normal model; equal a priori probabilities; equal sample sizes; Mahalanobis distance},
language = {eng},
number = {1},
pages = {28-38},
publisher = {Association pour la statistique et ses illustrations},
title = {Remark concerning a paradoxical situation in behaviour of error rate in discriminant analysis},
url = {http://eudml.org/doc/108867},
volume = {6},
year = {1981},
}

TY - JOUR
AU - Brailovsky, V.
TI - Remark concerning a paradoxical situation in behaviour of error rate in discriminant analysis
JO - Statistique et analyse des données
PY - 1981
PB - Association pour la statistique et ses illustrations
VL - 6
IS - 1
SP - 28
EP - 38
LA - eng
KW - behaviour of error rate; adding new samples; deterioration of decision rule quality; linear discriminant analysis; bivariate normal model; equal a priori probabilities; equal sample sizes; Mahalanobis distance
UR - http://eudml.org/doc/108867
ER -

References

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  1. 1. Anderson T.W. - An introduction to Multivariate Statistical Analysis J. Wiley, New York, 1958. Zbl0651.62041MR91588
  2. 2. Okamoto M. - An Asymptotic Expansion for the Distribution of the Linear Discriminant Function. Ann. Math. Stat., 1963, 34, 4, pp. 1286-1301 (with correction 39, 1358-1359). Zbl0117.37101MR156419
  3. 3. Brailovsky V. - On Influence of Sample Set Structure on Decision Rule Quality for the Case of Linear Discriminant Function. To appear in Trans. IEEE PAMI. Zbl0504.62053
  4. 4. Barra J.R. - Influence de l'estimation des paramètres sur une probabilité d'erreur en analyse discriminante (selon V. Brailovsky) Séminaire de l'Ecole Polytechnique. Novembre 1979. 
  5. 5. Barra J.R. - A propos d'un résultat de Brailovsky concernant une probabilité d'erreur en analyse discriminante. Annales de l'Institut Henri Poincaré B. Vol. 17 n° 1. Zbl0504.62054MR610496
  6. 6. Cramer H. - Mathematical Methods of Statistics, 1945. Princeton University Press. Zbl0985.62001MR1816288

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