Estimation non paramétrique de la densité par histogrammes généralisés

 Access to full text

 Full (PDF)

1. [1] Bickel-Rosenblatt (1973). - On some global measures of the deviates of density function estimates. Ann. Statist., 1, p. 1071- 95. Zbl0275.62033MR348906
2. (1975). - Corrections to. Ann. Statist.3, p. 1370. MR383633
3. [2] Bullock-Davis (1975). - Mean square error properties of density estimates. Ann. Statist., 3, p. 1025-30. Zbl0311.62020MR375605
4. [3] Cencov (1962) — Estimation of an unknown distribution density from observations. Sovet. Math., 3, p. 1559-62. Zbl0133.11801
5. [4] Charlier (1905). - Uber die darstellung willkürlicher funktione. Arkiv für Matematik Astronomi och Fysik, 2, p. 1-35. JFM36.0460.01
6. (1914) Contribution to the mathematical theory of statistics. Arkiv für Matematik Astronomi och Fysik, 9, p. 1- 18. 
7. [5] Deheuvels P. (1974). - Estimation de la densité (Thèse, Université Paris VI. 
8. (1974). - Conditions nécessaires et suffisantes de convergence ponctuelle presque sûre et uniforme presque sûre des estimateurs de la densité, C.R. Acad. Sci. Paris, 278, p. 1217-20. Zbl0281.62041MR345296
9. (1977). - Estimation non paramétrique de la densité par histogrammes généralisés II, Publ. ISUP, 1977. Vol. XXII, 1, 2, p. 1- 24. Zbl0375.62038MR539513
10. [6] Dimitriev-Taratsenko (1973). - On the estimation of the probability density and its derivatives. Theor. Prob. Appl., 18, p. 628- 33. Zbl0301.62020
11. [7] Edgeworth (1904). - The law of error. Trans. Camb. Phil. Soc., 20, p. 36-, p. 113 JFM36.0305.01
12. -(1907). - On the representation of a statistical frequency by a series. Jour. Roy. Stat. Soc., Ser. A, 70, p. 102 -6. 
13. (1916). - On the mathematical representation of statistical data. Jour. Roy. Stat. Soc., Ser. A, 79, p. 455 -500, (1917), 80, q. 65- 83, p. 266- 288, p. 411- 437. 
14. [8] Epanechnikov (1969). - Nonparametric estimates of a multivariate probability density, Teor. Prob. Appl., 14, p. 153-8. Zbl0175.17101
15. [9] Good- Gaskins (1971). - Nonparametric roughness penalties of probability densities. Biometrika, 58, p. 255-277. Zbl0221.62012MR319314
16. [10] Grenander (1956). - On the theory of mortality measurement, II, Skand. Akt., 39, p. 125-53. Zbl0077.33715MR93415
17. [11] Kendall. - The advanced theory of statistics, Vol. 1-2-3, Griffin. Zbl0063.03217
18. [12] Kronmal- Tarter- Holcomb (1967). - A description of new computer methods for estimating the population density. Proc. A.C.M, Thompson book Company, 22, p. 511- 19. 
19. [13] Kronmal- Tarter (1968). - The estimation of probability densities and cumulatives by Fourier series methods. J. Amer. Stat. Assoc., 63, p. 925-52. Zbl0169.21403MR231470
20. (1970). - On multivariate density estimates based on orthogonal expansions. Ann. Math. Statist., 41, p. 718-22. Zbl0197.45001MR253477
21. [14] Leadbatter- Watson (1963). - On the estimation of probability density II. Ann. Math. Statist., 34, p. 480 -91. Zbl0113.34504MR148149
22. [ 15] Malz (1974). - Estimation of the kth derivative of a distribution function. Ann. Statist., 2, p. 359-61. Zbl0277.62033
23. [16] Montricher- Tapia- Thompson (1975). - Nonparametric maximum likehood estimation of probability density by penalty function methods. Ann. Statist., 3, p. 1329-48. Zbl0324.62037MR383636
24. [ 17] Parzen (1962). - On the estimation of a probability density function and the mode. Ann. Math. Statist., 33, p. 1065-76. Zbl0116.11302MR143282
25. [ 18] Prakasa- Rao (1969). - Estimation of a unimodal density. Sankhya, Ser. A, 31, p. 26-36. Zbl0181.45901
26. [ 19] Reiss (1973). 
27. [20] Robertson (1967). - On estimating a density which is measurable with respect to a lattice. Ann. Math. Statist., 38, p. 482- 93. Zbl0157.48001MR211526
28. [21] Rosenblatt (1956). - Remarks on some nonparametric estimates of a density. Ann. Math. Statist., 27, p. 832-7. Zbl0073.14602MR79873
29. [22] (1971). - Curve estimates. Ann. Math. Statist., 33, p. 1065-76. MR301851
30. [23] Sager (1975). - Consistency in nonparametric estimation of the mode. Ann. Statist., 3, p. 698-706. Zbl0303.62037MR373142
31. [24] SansoneOrthogonal functions, Interscience. Zbl0084.06106
32. [25] Schuster (1969). - Estimation of a probability density function and its derivatives. Ann. Math. Statist., 40, p. 1187- 95. Zbl0212.21703MR247723
33. [26] Shapiro (1969). - Smoothing and approximation of functions, Van Nostrand Reinhold. Zbl0194.09101MR412669
34. [27] Schwarz- Stuart (1967). - Estimation of a probability density by orthogonal series. Ann. Math. Statist., 38, p. 1261-5. Zbl0157.47904MR221638
35. [28] Van Ryzin (1966). - Bayes risk consistency of classification procedures using density estimation. Sankhya, Ser. A, 28, p. 261 -70. Zbl0192.25703MR210264
36. [29] Venter (1967). - On the estimation of the mode. Ann. Math. Statist., 37, p. 1446-55. Zbl0245.62033MR216698
37. [30] Wahba (1971). - A polynomial algorithm for density estimation. Ann. Math. Statist., 42, p. 1870-86. Zbl0226.62038MR303652
38. [31] Watson (1969). - Density estimation by orthogonal series. Ann. Math. Statist., 40, p. 1496-8. Zbl0188.50602MR242332
39. [32] Wegman (1969). - A note on estimating a unimodal density. Ann. Math. Statist., 40, p. 1661-17. Zbl0182.51902MR250404
40. (1969). - Maximum likehood histograms, Institute of statistics 629, Univ. North Carolina. 
41. (1970). - Maximum likehood estimation of a unimodal density I, II. Ann. Math. Statist., 41, p. 457-71, p. 2169-74. Zbl0223.62036
42. [33] Wegman (1972). - Nonparametric probability density estimation. A summary of available methods. Technometrics, 14, p. 533- 546. Zbl0243.62028
43. [34] Woodroofe (1967). - On the maximum deviation of the sample density. Ann. Math. Statist., 38, p. 475-81. Zbl0157.48002MR211448
44. [35] Woodroofe (1970). - On choosing a delta sequence. Ann. Math. Statist., 41, p. 1665-71. Zbl0229.62022MR270515

1. Alain Berlinet, Luc Devroye, Estimation d'une densité : un point sur la méthode du noyau
2. Ali Gannoun, Prédiction non paramétrique : médianogramme et méthode du noyau en estimation de la médiane conditionnelle
3. E. Brunel, Application d'estimateurs de la densité à la simulation d'épisodes pluvieux extrêmes en Languedoc-Roussillon
4. Pierre Hominal, Paul Deheuvels, Estimation non paramétrique de la densité compte-tenu d'informations sur le support
5. Bertrand Maillet, Thierry Michel, Mesures de temps, information et distribution des rendements intra-journaliers
6. Paul Deheuvels, Pierre Hominal, Estimation automatique de la densité
7. Ali Gannoun, Stéphane Girard, Christiane Guinot, Jérôme Saracco, Trois méthodes non paramétriques pour l'estimation de courbes de référence- application à l'analyse de propriétés biophysiques de la peau
8. Salima Hassani, Pascal Sarda, Philippe Vieu, Approche non paramétrique en théorie de la fiabilité : revue bibliographique
9. Laurent Rouvière, Sélection d'histogrammes modifiés itérés
10. Gérard Biau, Estimateurs à noyau itérés : synthèse bibliographique