Détection des observations aberrantes par des méthodes statistiques

M. Nikulin; A. Zerbet

Revue de Statistique Appliquée (2002)

  • Volume: 50, Issue: 3, page 25-51
  • ISSN: 0035-175X

How to cite

top

Nikulin, M., and Zerbet, A.. "Détection des observations aberrantes par des méthodes statistiques." Revue de Statistique Appliquée 50.3 (2002): 25-51. <http://eudml.org/doc/106519>.

@article{Nikulin2002,
author = {Nikulin, M., Zerbet, A.},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {3},
pages = {25-51},
publisher = {Société française de statistique},
title = {Détection des observations aberrantes par des méthodes statistiques},
url = {http://eudml.org/doc/106519},
volume = {50},
year = {2002},
}

TY - JOUR
AU - Nikulin, M.
AU - Zerbet, A.
TI - Détection des observations aberrantes par des méthodes statistiques
JO - Revue de Statistique Appliquée
PY - 2002
PB - Société française de statistique
VL - 50
IS - 3
SP - 25
EP - 51
LA - fre
UR - http://eudml.org/doc/106519
ER -

References

top
  1. [1] Vic. Barnett and Toby Lewis (1994), "Outliers in statistical data", John Wiley and Sons, Inc.: New York. Zbl0801.62001MR1272911
  2. [2] A.P. Basu (1965), "On some tests of hypotheses relating to the exponential distribution when some outliers are present". J. Amer. Statist. Assoc60548-559. (Reviewer : Benjamin Epstein) 62.25. Zbl0139.36302MR185740
  3. [3] L.N. Bol'shev and N.V. Smirnov (1965), "Tables of Mathematical Statistics", Publishing House " Nauka", pp. 128- 129. (In Russian.) MR735434
  4. [4] L.N. Bol'shev (1969), "On tests for rejecting outlying observations". Trudy In-ta prikladnoi Mat. Tblissi Gosudart.univ.,2, pp. 159-177. (In russian.) MR282465
  5. [5] L.N. Bol'shev and M. Ubaidullaeva (1974), " Chauvenet's test in the classical theory of errors". Theory Prob. Applications, 19, pp.683 -692. Zbl0325.62013MR356319
  6. [6] W. Chauvenet (1863), "A Manual of spherical and Practical Astronomy," II, Philadelphia. 
  7. [7] Chikkagoudar-Kunchur (1983), "Distribution of test statistics for multiple outliers in exponential samples," Comm. Stat. Theory. and Meth., 12, 2127-2142. Zbl0561.62013MR710565
  8. [8] W.J. Dixon (1950), Analysis of extreme value, A.M.S., 21, p. 488-506. Zbl0044.14603MR38615
  9. [9] W.J. Dixon (1951), Ratios involiving extreme values, A.M. S., 22, p. 68-78. Zbl0044.14604MR39953
  10. [10] P.E. Greenwood and M.S. Nikulin (1996), A Guide to Chi-Squared Testing, John Wiley and Sons, Inc.: New York. Zbl0853.62037MR1379800
  11. [11] F.E. Grubbs (1950), "Sample criteria for testing outlying observations," Ann. Math. Statist., 21, pp. 27- 58. Zbl0036.21003MR33993
  12. [12] I.A. Ibragimov (1978), "Some asymptotic results concerning the Chauvenet test," Ter. Veroyatnost. i Primenen., 23, No. 3, 593-597. Zbl0428.62017MR509734
  13. [13] A.G. Laurent (1963), "Conditional distribution of order statistics and distribution of the reduced ith order statistic of the exponential model". Ann. Math. Statist., 34, pp. 652- 657. Zbl0202.49701MR150888
  14. [14] M. Nikulin et A. Zerbet (1999), "Détection des observations aberrantes par les méthodes statistiques. Partie 1 : Loi normale," pré-publication No. 9908 du laboratoire de Statistique Mathématique et ses Applications à l'université Victor Segalen Bordeaux2. 
  15. [15] M. Nikulin1999), Renyi test, In : Probability and Mathematical Statistics Encyclopaedia. (Editor Yu. Prokhorov). Moscou: Big Russian Encyclopaedia, p. 557. 
  16. [16] V.I. Pagurova (1996), "On the asymptotic Power of a test for detecting outliers," Theory Probab. Appl., Vol. 42, No. 3, pp. 433-443. Zbl1067.62516MR1618787
  17. [17] E.S. Pearson and C. Chandra Sekar (1936), " The efficiency of statistical tools and a criterion for rejection of outlying observation ", Biometrika, 28, pp. 308-320. Zbl0015.26205JFM62.0610.03
  18. [18] B. Peirce (1852), "Criterion for the rejection of doubtful observations", Astr. J., 2, pp. 161-163. 
  19. [19] J.N.V. Smirnov (1941), "On a bound for the maximum term in a series of observations ", Dokl. Akad.Nauk,SSSR (new series), XXXIII, pp. 346-349. (In russian.) Zbl0063.07086
  20. [20] V.G. Voinov and M.N. Nikulin (1993), "Unbiased Estimators and Their Applications," Vol.1: Univariate case, Kluwer Academic Publishers: Dordrecht. Zbl0832.62019MR1472739
  21. [21] V.G. Voinov and M.N. Nikulin (1996), "Unbiased Estimators and Their Applications," Vol.2: Multivariate Case, Kluwer Academic Publishers: Dordrecht. Zbl0844.62039MR1422256
  22. [22] S.S. Wilks (1963), "Multivariate statistical outliers," Sankhya-ser. -A25, pp. 407-426. Zbl0128.13401MR173334

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.