Discrimination binaire non paramétrique. Méthodes d'estimation du paramètre de lissage

A. Mkhadri

Revue de Statistique Appliquée (1991)

  • Volume: 39, Issue: 3, page 37-55
  • ISSN: 0035-175X

How to cite

top

Mkhadri, A.. "Discrimination binaire non paramétrique. Méthodes d'estimation du paramètre de lissage." Revue de Statistique Appliquée 39.3 (1991): 37-55. <http://eudml.org/doc/106296>.

@article{Mkhadri1991,
author = {Mkhadri, A.},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {3},
pages = {37-55},
publisher = {Société de Statistique de France},
title = {Discrimination binaire non paramétrique. Méthodes d'estimation du paramètre de lissage},
url = {http://eudml.org/doc/106296},
volume = {39},
year = {1991},
}

TY - JOUR
AU - Mkhadri, A.
TI - Discrimination binaire non paramétrique. Méthodes d'estimation du paramètre de lissage
JO - Revue de Statistique Appliquée
PY - 1991
PB - Société de Statistique de France
VL - 39
IS - 3
SP - 37
EP - 55
LA - fre
UR - http://eudml.org/doc/106296
ER -

References

top
  1. Aitchison J. & Aitken C.G.G. (1976). Multivariate binary discrimination by the kernel method. Biometrika63, 413-20. Zbl0344.62035MR443222
  2. Aitken C.G.G. (1983). Kernel methods for the estimation of discrete distributions. J. Statist. Comput. Simul.16, 189-200. Zbl0506.62024
  3. Bowman A.W. (1980). A note on consistency of kernel method for the analyse of categorical data. Biometrika67, 682-4. MR601108
  4. Bowman A.W. (1984). An alternative method of cross-validation for smoothing of density estimates. Biometrika71, 353- 60. MR767163
  5. Bowman A.W., Hall P. & Titterington D.M. (1984). Cross-validation in nonparametric estimation of probabilities and probability densities. Biometrika71, 341- 51. Zbl0567.62031MR767162
  6. Brown P.J. & Rundell P.W.K. (1985). Kernel estimates for categorical data. Technometrics27, 293-9. Zbl0611.62058MR797568
  7. Celeux G. & Mkhadri A. (1991). Discrete Regularized Discriminant Analysis. Rapports de recherche INRIA, No 1481. 
  8. Glick N. (1978). Additive estimator for probabilities of correct classification. Pattern Rocognition10, 211-222. Zbl0389.62044
  9. Goldstein M. & Dillon W.R. (1978). Discrete discriminant analysis. J. Wiley & Sons, New York. Zbl0396.62042MR478475
  10. Habbema J.D.F., Hermans J. & Remme J. (1978). Variable kernel density estimation in discriminant analysis. Compstat. 1978, Proceedings in Computational Statistics, Physica Verlag. Zbl0459.62044
  11. Hall P. (1981a). On nonparametric multivariate binary discrimination. Biometrika68, 287-94. Zbl0463.62059MR614965
  12. Hall P. (1981b). Optimal near neighbour estimator for use in discriminant analysis. Biometrika68, 572-5. Zbl0477.62024MR626421
  13. Hall P. (1983). Orthogonal series methods for qualitative and quantitative data. Ann. Statist.11, 1004-7. Zbl0515.62036MR707952
  14. Hall P. & Titterington D.M. (1987). On smoothing sparse multinomial data. Australian J. Statist.29, 19-37. Zbl0628.62039MR899373
  15. Hall P. & Wand P. (1988). Nonparametric discrimination using density differences. Biometrika75, 541-7. Zbl0651.62029MR967594
  16. Hall P. (1990). Using bootstrap to estimate mean squared error and select smoothing parameter in nonparametric problems. J. Multiv. Anal.32, 177-203. Zbl0722.62030MR1046764
  17. Hand D.J. (1982). Kernel discriminant analysis. Chichester: Research Studies Press. Wiley. Zbl0562.62041MR666869
  18. Hand D.J. (1983). A comparative of two methods of discriminant anlysis applied to binary data. Biometrics39, 683-94. 
  19. Hills M. (1967). Discrimination and allocation with discete data. J. Roy. Stat. Soc.C16, 237-250. 
  20. Mkhadri A. (1990a). Classification et discrimination des données qualitatives : Discrimination Multinomiale Régularisée. Thèse de Doctorat de Paris 6. Zbl0875.62261
  21. Mkhadri A. (1990b). Discrimination binaire nonparamétrique : méthodes d'estimation du paramètre de lissage. Rapports de recherche INRIA, N° 1335. 
  22. Rudemo M. (1982). Empirical choice of histograms and kernel density estimation. Scand. J. Statist.9, 65-78. Zbl0501.62028MR668683
  23. Stone M. (1977). Asymptotics for and against cross-validation. Biometrika64, 29-35. Zbl0368.62046MR474601
  24. Taylor C.C. (1989). Bootstrap choice of smoothing parameter in kernel density estimation. Biometrika76, 705-12. Zbl0678.62042MR1041415
  25. Titterington D.M. (1980). A comparative study of kernel-based density estimates for categorical data. Technometrics22, 259-68. Zbl0441.62036
  26. Titterington D. M & Bowman A.W. (1985). A comparative study of smoothing procedures for ordered categorical data. J. Statist. Comput. Simul.21, 291-312. MR876635
  27. Tutz G. (1985). Smoothed additive estimators for nonerror rates in multiples discriminant analysis. Pattern Rocognition18, 151- 159. Zbl0556.62039
  28. Tutz G. (1986). An alternative choice of smoothing for kemel-based density estimates in discrete discriminant analysis. Biometrika73, 405- 11. Zbl0604.62031MR855900
  29. Tutz G. (1988). Smoothing for discrete kemels in discrimination. Biometrical Journal30, 729-40. Zbl0693.62049MR1015167
  30. Tutz G. (1989). On cross-validation for discrete kernel estimation in discrimination. Commun. Statist.-Theory Meth. 18 (11), 4145-4162. Zbl0696.62178MR1058933
  31. Van Ness J. (1979). On the effects of dimension in discrimant analysis for unequal covariance populations. Technometrics21, 119- 27. Zbl0426.62039
  32. Van Ness J. & Simpson C. (1976). On the effects of dimension in discrimant analysis. Technometrics18, 175-87. Zbl0351.62043

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.