Propriétés asymptotiques en classification (consistance des solutions de problèmes approches)

J. Lemaire

Statistique et analyse des données (1983)

  • Volume: 8, Issue: 1, page 41-58
  • ISSN: 0750-7364

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Lemaire, J.. "Propriétés asymptotiques en classification (consistance des solutions de problèmes approches)." Statistique et analyse des données 8.1 (1983): 41-58. <http://eudml.org/doc/108893>.

@article{Lemaire1983,
author = {Lemaire, J.},
journal = {Statistique et analyse des données},
keywords = {asymptotic properties; asymptotic stability; solutions of clustering problems; data analysis; Convergence results; centroid methods; normal integrand},
language = {fre},
number = {1},
pages = {41-58},
publisher = {Association pour la statistique et ses illustrations},
title = {Propriétés asymptotiques en classification (consistance des solutions de problèmes approches)},
url = {http://eudml.org/doc/108893},
volume = {8},
year = {1983},
}

TY - JOUR
AU - Lemaire, J.
TI - Propriétés asymptotiques en classification (consistance des solutions de problèmes approches)
JO - Statistique et analyse des données
PY - 1983
PB - Association pour la statistique et ses illustrations
VL - 8
IS - 1
SP - 41
EP - 58
LA - fre
KW - asymptotic properties; asymptotic stability; solutions of clustering problems; data analysis; Convergence results; centroid methods; normal integrand
UR - http://eudml.org/doc/108893
ER -

References

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  1. BERLIOCHI H. et LASSRY J.M. (1973) Intégrandes normales et mesures paramétrées en calcul des variations. Bull. soc. math. France. 101, p 129-184. Zbl0282.49041MR344980
  2. BRYANT P. et WILLIAMSON J. (1978) Asymptotic behaviour of classification maximum likelihood estimates. Biometrika. 65, 2, p 273-281. Zbl0393.62011
  3. EKELANO I. et TEMAM R. (1978) Analyse convexe et problèmes variationnels. Dunod. Paris Zbl0281.49001
  4. MAC QUEEN J. (1967) Some methods for classification and analysis of multivariate observations. Proc. 5th Berkeley symp. 1, p 281-297. Zbl0214.46201MR214227
  5. PHILIP H. (1983) Propriétés asymptotiques en classification : convergence d'un shéma d'approximation stochastique. Thèse de 3e cycle. Université de Nice, (à paraître en janvier). 
  6. PFANZAGL J. (1969) On the measurability and consistency of minimum contrast estimates. Metrika. 12, p 249-272. Zbl0181.45501
  7. POLLARD 0. (1981) Strong consistency of k-means clustering. Ann. Stat. 9, 1, p 135-140. Zbl0451.62048MR600539
  8. REDNER R. (1981) Note on the consistency of the maximum likelihood estimate for non identifiable distributions. 9, 1, p 225-228. Zbl0453.62021MR600553
  9. WALD A. (1949) Note on the consistency of the maximum likelihood estimate. Ann. Math. Stat. 20, p 595-601 Zbl0034.22902MR32169

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