Estimation automatique de la densité

Paul Deheuvels; Pierre Hominal

Revue de Statistique Appliquée (1980)

  • Volume: 28, Issue: 1, page 25-55
  • ISSN: 0035-175X

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Deheuvels, Paul, and Hominal, Pierre. "Estimation automatique de la densité." Revue de Statistique Appliquée 28.1 (1980): 25-55. <http://eudml.org/doc/106092>.

@article{Deheuvels1980,
author = {Deheuvels, Paul, Hominal, Pierre},
journal = {Revue de Statistique Appliquée},
keywords = {automatic nonparametric density estimation; consistency results; Fortran programs; kernel methods},
language = {fre},
number = {1},
pages = {25-55},
publisher = {Société de Statistique de France},
title = {Estimation automatique de la densité},
url = {http://eudml.org/doc/106092},
volume = {28},
year = {1980},
}

TY - JOUR
AU - Deheuvels, Paul
AU - Hominal, Pierre
TI - Estimation automatique de la densité
JO - Revue de Statistique Appliquée
PY - 1980
PB - Société de Statistique de France
VL - 28
IS - 1
SP - 25
EP - 55
LA - fre
KW - automatic nonparametric density estimation; consistency results; Fortran programs; kernel methods
UR - http://eudml.org/doc/106092
ER -

References

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  1. [1] Ahrens & Dieter, 1974. - Computer methods for sampling from gamma, beta, Poisson and binomial distributions, Computing, Vol. 12, p. 223-246. Zbl0285.65009MR395151
  2. [2] Box & Muller, 1958. - A note on the generation of random normal deviates, Ann. Math. Statist., Vol. 29, p. 610-611. Zbl0085.13720
  3. [3] Bretagnolle & Huber, 1979. - Estimation des densités : risque minimax, Z. Wahr. und Verw. Geb., 47, p.119-137. Zbl0413.62024MR523165
  4. [4] Chung, 1948. - An estimate concerning the Kolmogorov limit distribution, Trans. Amer. Math. Soc., 64, p. 205-233. MR26274
  5. [5] Deheuvels, 1974. - Conditions nécessaires et suffisantes de convergence ponctuelle presque sûre et uniforme presque sûre des estimateurs de la densité, C.R. Acad. Sci. Paris, t. 278, Ser. A, p. 1217-1220. Zbl0281.62041MR345296
  6. [6] 1974. - Thèse de doctorat d'Etat (Université Paris VI) 
  7. [7] 1977. - Estimation non paramétrique de la densité par histogrammes généralisés, Revue de Statistique Appliquée, Vol. 25, p. 5-42. Zbl0375.62038MR501555
  8. [8] 1977. - Estimation non paramétrique de la densité par histogrammes généralisés II, Publ. Inst. Statist. Univ. Paris, Vol. 22, p. 1-24. Zbl0375.62038MR539513
  9. [9] 1979. - Estimation séquentielle de la densité, Contrib. en Prob. y Est. Mat. Ens. de la Mat. y Analisis, Univ. Granada, p. 156-169. Zbl0475.62029MR577809
  10. [10] 1980. - Objective density estimation (A paraître) 
  11. [11] Devroye & Wagner, 1979. - The strong uniform consistency of kernel density estimates, Multivariate Analysis V, Krishnaiah edit., North Holland. Zbl0431.62024
  12. [12] Hominal, 1979. - Thèse de IIIème Cycle, Université Paris VI 
  13. [13] Hominal & Deheuvels, 1979. - Estimation non paramétrique de la densité compte tenu d'informations sur le support, Revue de Statistique Appliquée, Vol. 27, p. 47-68. MR552728
  14. [14] Nadayara, 1974. - On the integral mean square error of some non parametric estimates for the density function, Theor. Prob. Appl., Vol. 19, p. 133-141. Zbl0309.62025
  15. [15] Pearson & Hartley, 1976. - Biometrika tables for statisticians, Vol. I -II, Cambridge Univ. Press. Zbl0192.26302
  16. [16] Renyi, 1966. - Calcul des probabilités, Dunod. Zbl0141.14702
  17. [17] Smirnov, 1944. - Approximate laws of distribution of random variables from empirical data, Uspehi Mat. Nauk, 10, p. 179-206. Zbl0063.07087MR12387
  18. [18] Silverman, 1978. - Choosing the window width when estimating a density, Biometrika65, 1, p . 1- 11. Zbl0371.62053MR497503
  19. [19] 1979. - Communication privée 
  20. [20] Wertz & Schneider, 1979. - Statistical density estimation : a bibliography, International Statistical Review, 47, p. 155-175. Zbl0412.62023MR552236
  21. [21] Woodroofe, 1970. - On choosing a delta sequence, Ann. Math. Statist., Vol. 41, p. 1665-1671. Zbl0229.62022MR270515

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