Approximations et majorations optimales des statistiques d'ordre d'un échantillon

G. Caraux; O. Gascuel

Revue de Statistique Appliquée (1991)

  • Volume: 39, Issue: 1, page 21-35
  • ISSN: 0035-175X

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Caraux, G., and Gascuel, O.. "Approximations et majorations optimales des statistiques d'ordre d'un échantillon." Revue de Statistique Appliquée 39.1 (1991): 21-35. <http://eudml.org/doc/106286>.

@article{Caraux1991,
author = {Caraux, G., Gascuel, O.},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {1},
pages = {21-35},
publisher = {Société de Statistique de France},
title = {Approximations et majorations optimales des statistiques d'ordre d'un échantillon},
url = {http://eudml.org/doc/106286},
volume = {39},
year = {1991},
}

TY - JOUR
AU - Caraux, G.
AU - Gascuel, O.
TI - Approximations et majorations optimales des statistiques d'ordre d'un échantillon
JO - Revue de Statistique Appliquée
PY - 1991
PB - Société de Statistique de France
VL - 39
IS - 1
SP - 21
EP - 35
LA - fre
UR - http://eudml.org/doc/106286
ER -

References

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  1. [1] Beckman, R.J., Cook, R.D. (1983), "Outlier..... s", Technometrics, Vol. 25, No. 2, pp. 119-149. Zbl0514.62041MR702168
  2. [2] Capéraà, P., Van Cutsen, B. (1988), Méthodes et modèles en statistique non paramétrique, Dunod- Presses de l'Université Laval, Paris. Zbl0637.62034MR945392
  3. [3] CEA (1969), Recherche des valeurs aberrantes, Dunod, Paris. 
  4. [4] David, H.A. (1981), Order Statistics, 2nd Ed, Wiley, New York. Zbl0553.62046MR597893
  5. [5] Deheuvels, P. (1974), "Majoration et minoration presque sûre optimale des éléments de la statistique ordonnée d'un échantillon croissant de variables aléatoires indépendantes", Rend. Acad. Nazionale dei Lincei Ser, VIII, Vol. LVI, 707-719. Zbl0321.60027MR394826
  6. [6] Deheuvels, P. (1981), "Univariate extreme values - Theory and Applications", 43rd Session of the International Statistical Institute (November 30th-December 11th), I.P. 7.1, Buenos Aires, Argentina. Zbl0518.62019MR820978
  7. [7] Diettrich, G.T., Michalski, R.S. (1983), "A comparative Review of Selected Methods for Learning from exemples", Machine Learning 1, eds. MICHALSKI, R.S., CARBONELL, J.G., MITCHELL, T.M., Tioga publishing company, Palo Alto, California. 
  8. [8] Fisher, R.A., Tippett, L.H.C. (1928), "Limiting forms of the frequency distributions of the largest or smallest member of a sample ", Proc. Cambridge Philos. Soc., No. 24, 180- 190. Zbl54.0560.05JFM54.0560.05
  9. [9] Fourgeaud, C., Fuchs, A. (1967), Statistique, Dunod, Paris. Zbl0201.51501MR258161
  10. [10] Galambos, J., Kotz, S. (1978), "Characterizations of Probability Distributions ", Lecture Notes in Mathematics, No. 675, eds. DOLD, A. and ECKMANN, B., Springer Verlag, New-York. Zbl0381.62011MR513423
  11. [11] Galambos, J. (1984), "Statistical extremes : Theory and applications, motivation and perspectives", Statistical Extremes and Applications, eds. TIAGO DE OLIVEIRA, J., D. Reidel Publishing Company, Dordrecht, Holland. 
  12. [12] Galambos, J. (1987), The Asymptotic Theory of Extreme Order Statistics, 2nd Ed, Robert E. Krieger Publishing Compagny, Malabar, Florida. Zbl0634.62044MR936631
  13. [13] Gascuel, O., Guenoche, A., (1990), "Approches symboliques/numériques en apprentissage ", PRC-GDR Intelligence artificielle, Actes des 3e journées nationales, eds. BOUCHON-MEUNIER, B.., 91-110, Hermes, Paris. 
  14. [14] Grant, E.L., Leavenworth, R.S. (1972), Statistical quality control, Mc Graw Hill. Zbl0271.62129
  15. [15] Grubbs, F.E. (1950), "Sample criteria for testing outlying observations", Ann. Math. Statist., 21, 27- 58. Zbl0036.21003MR33993
  16. [16] Gumbel, E.J., (1958), Statistics of extremes, Columbia University Press, New York - London. Zbl0086.34401MR96342
  17. [17] Kendall, M.G., Stuart, A. (1969), The Advanced Theory of Statistics, Vol.1, Charles Griffing, London. Zbl0223.62001
  18. [18] Leadbetter, M.R., Lindgren, G., Rootzén, H. (1983), Extremes and Related Properties of Random Sequences and Processes., Springer-Verlag, New York. Zbl0518.60021MR691492
  19. [19] Mahfoudi, A. (1980), Une approche unifiée de la détection des observations aberrantes dans le contexte gaussien, Thèse, USTL, Montpellier, France. 
  20. [20] Miclet, L. (1984) Méthodes structurelles pour la reconnaissance des formes, Dunod, Paris. MR766398
  21. [21] Peirce, B. (1852), "Criterion for the Rejection of Doubtful Observations ", Astronomical Journal, 2, 161-163. 
  22. [22] Rényi, A. (1966), Calcul des Probabilités, Dunod, Paris. Zbl0141.14702MR202161
  23. [23] Sarhan, A.E., Greenberg, B.G. (1962), Contributions to order statistics, Wiley, New York. Zbl0102.35204MR169336
  24. [24] Smith, R.L. (1989), "Extreme Value Analysis of Environnemental Time Se-ries : An Application to Trend Detection in Ground-Level Ozone", Statistical Science, Vol. 4, No. 4, 367 -393. Zbl0955.62646MR1041763
  25. [25] Sneyers, R. (1984), "Extremes in Meteorology ", Statistical Extremes and Applications, eds. TIAGO DE OLIVEIRA, J., D. Reidel Publishing Company, Dordrecht, Holland. MR784809
  26. [26] Stone, E.J. (1868), "On rejection of Discordant Observations", Monthly Notices of the Royal Astronomical Society, 28, 165-168. 
  27. [27] TIAGO DE Oliveira, J. (1984), Statistical Extremes and Applications, D. Reidel Publishing Company, Dordrecht, Holland. Zbl0542.00013MR784809
  28. [28] Wilks, S.S. (1962), Mathematical statistics, Wiley, New York. Zbl0173.45805MR144404

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