Approximations et majorations optimales des statistiques d'ordre d'un échantillon
Revue de Statistique Appliquée, Volume 39 (1991) no. 1, p. 21-35
@article{RSA_1991__39_1_21_0,
     author = {Caraux, G. and Gascuel, Olivier},
     title = {Approximations et majorations optimales des statistiques d'ordre d'un \'echantillon},
     journal = {Revue de Statistique Appliqu\'ee},
     publisher = {Soci\'et\'e de Statistique de France},
     volume = {39},
     number = {1},
     year = {1991},
     pages = {21-35},
     zbl = {0972.62514},
     mrnumber = {1110987},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_1991__39_1_21_0}
}
Caraux, G.; Gascuel, O. Approximations et majorations optimales des statistiques d'ordre d'un échantillon. Revue de Statistique Appliquée, Volume 39 (1991) no. 1, pp. 21-35. http://www.numdam.org/item/RSA_1991__39_1_21_0/

[1] Beckman, R.J., Cook, R.D. (1983), "Outlier..... s", Technometrics, Vol. 25, No. 2, pp. 119-149. | MR 702168 | Zbl 0514.62041

[2] Capéraà, P., Van Cutsen, B. (1988), Méthodes et modèles en statistique non paramétrique, Dunod- Presses de l'Université Laval, Paris. | MR 945392 | Zbl 0637.62034

[3] Cea (1969), Recherche des valeurs aberrantes, Dunod, Paris.

[4] David, H.A. (1981), Order Statistics, 2nd Ed, Wiley, New York. | MR 597893 | Zbl 0553.62046

[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. | MR 394826 | Zbl 0321.60027

[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. | MR 820978

[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] 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. | JFM 54.0560.05

[9] Fourgeaud, C., Fuchs, A. (1967), Statistique, Dunod, Paris. | MR 258161 | Zbl 0201.51501

[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. | MR 513423 | Zbl 0381.62011

[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] Galambos, J. (1987), The Asymptotic Theory of Extreme Order Statistics, 2nd Ed, Robert E. Krieger Publishing Compagny, Malabar, Florida. | MR 936631 | Zbl 0634.62044

[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] Grant, E.L., Leavenworth, R.S. (1972), Statistical quality control, Mc Graw Hill. | Zbl 0271.62129

[15] Grubbs, F.E. (1950), "Sample criteria for testing outlying observations", Ann. Math. Statist., 21, 27- 58. | MR 33993 | Zbl 0036.21003

[16] Gumbel, E.J., (1958), Statistics of extremes, Columbia University Press, New York - London. | MR 96342 | Zbl 0086.34401

[17] Kendall, M.G., Stuart, A. (1969), The Advanced Theory of Statistics, Vol.1, Charles Griffing, London. | Zbl 0223.62001

[18] Leadbetter, M.R., Lindgren, G., Rootzén, H. (1983), Extremes and Related Properties of Random Sequences and Processes., Springer-Verlag, New York. | MR 691492 | Zbl 0518.60021

[19] Mahfoudi, A. (1980), Une approche unifiée de la détection des observations aberrantes dans le contexte gaussien, Thèse, USTL, Montpellier, France.

[20] Miclet, L. (1984) Méthodes structurelles pour la reconnaissance des formes, Dunod, Paris. | MR 766398

[21] Peirce, B. (1852), "Criterion for the Rejection of Doubtful Observations ", Astronomical Journal, 2, 161-163.

[22] Rényi, A. (1966), Calcul des Probabilités, Dunod, Paris. | MR 202161 | Zbl 0141.14702

[23] Sarhan, A.E., Greenberg, B.G. (1962), Contributions to order statistics, Wiley, New York. | MR 169336 | Zbl 0102.35204

[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. | MR 1041763 | Zbl 0955.62646

[25] Sneyers, R. (1984), "Extremes in Meteorology ", Statistical Extremes and Applications, eds. TIAGO DE OLIVEIRA, J., D. Reidel Publishing Company, Dordrecht, Holland. | MR 784809

[26] Stone, E.J. (1868), "On rejection of Discordant Observations", Monthly Notices of the Royal Astronomical Society, 28, 165-168.

[27] TIAGO DE Oliveira, J. (1984), Statistical Extremes and Applications, D. Reidel Publishing Company, Dordrecht, Holland. | MR 784809 | Zbl 0542.00013

[28] Wilks, S.S. (1962), Mathematical statistics, Wiley, New York. | MR 144404 | Zbl 0173.45805