Estimation non paramétrique de la densité par histogrammes généralisés
Revue de Statistique Appliquée, Tome 25 (1977) no. 3, pp. 5-42.
@article{RSA_1977__25_3_5_0,
     author = {Deheuvels, Paul},
     title = {Estimation non param\'etrique de la densit\'e par histogrammes g\'en\'eralis\'es},
     journal = {Revue de Statistique Appliqu\'ee},
     pages = {5--42},
     publisher = {Soci\'et\'e de Statistique de France},
     volume = {25},
     number = {3},
     year = {1977},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_1977__25_3_5_0/}
}
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Deheuvels, Paul. Estimation non paramétrique de la densité par histogrammes généralisés. Revue de Statistique Appliquée, Tome 25 (1977) no. 3, pp. 5-42. http://www.numdam.org/item/RSA_1977__25_3_5_0/

[1] Bickel-Rosenblatt (1973). - On some global measures of the deviates of density function estimates. Ann. Statist., 1, p. 1071- 95. | MR | Zbl

(1975). - Corrections to. Ann. Statist. 3, p. 1370. | MR

[2] Bullock-Davis (1975). - Mean square error properties of density estimates. Ann. Statist., 3, p. 1025-30. | MR | Zbl

[3] Cencov (1962) - Estimation of an unknown distribution density from observations. Sovet. Math., 3, p. 1559-62. | Zbl

[4] Charlier (1905). - Uber die darstellung willkürlicher funktione. Arkiv für Matematik Astronomi och Fysik, 2, p. 1-35. | JFM

(1914) Contribution to the mathematical theory of statistics. Arkiv für Matematik Astronomi och Fysik, 9, p. 1- 18.

[5] Deheuvels P. (1974). - Estimation de la densité (Thèse, Université Paris VI.

(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. | MR | Zbl

(1977). - Estimation non paramétrique de la densité par histogrammes généralisés II, Publ. ISUP, 1977. Vol. XXII, 1, 2, p. 1- 24. | MR | Zbl

[6] Dimitriev-Taratsenko (1973). - On the estimation of the probability density and its derivatives. Theor. Prob. Appl., 18, p. 628- 33. | Zbl

[7] Edgeworth (1904). - The law of error. Trans. Camb. Phil. Soc., 20, p. 36-, p. 113 | JFM

-(1907). - On the representation of a statistical frequency by a series. Jour. Roy. Stat. Soc., Ser. A, 70, p. 102 -6.

(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.

[8] Epanechnikov (1969). - Nonparametric estimates of a multivariate probability density, Teor. Prob. Appl., 14, p. 153-8. | Zbl

[9] Good-Gaskins (1971). - Nonparametric roughness penalties of probability densities. Biometrika, 58, p. 255-277. | MR | Zbl

[10] Grenander (1956). - On the theory of mortality measurement, II, Skand. Akt., 39, p. 125-53. | MR | Zbl

[11] Kendall. - The advanced theory of statistics, Vol. 1-2-3, Griffin. | Zbl

[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.

[13] Kronmal-Tarter (1968). - The estimation of probability densities and cumulatives by Fourier series methods. J. Amer. Stat. Assoc., 63, p. 925-52. | MR | Zbl

(1970). - On multivariate density estimates based on orthogonal expansions. Ann. Math. Statist., 41, p. 718-22. | MR | Zbl

[14] Leadbatter-Watson (1963). - On the estimation of probability density II. Ann. Math. Statist., 34, p. 480 -91. | MR | Zbl

[ 15] Malz (1974). - Estimation of the kth derivative of a distribution function. Ann. Statist., 2, p. 359-61. | Zbl

[16] Montricher-Tapia- Thompson (1975). - Nonparametric maximum likehood estimation of probability density by penalty function methods. Ann. Statist., 3, p. 1329-48. | MR | Zbl

[ 17] Parzen (1962). - On the estimation of a probability density function and the mode. Ann. Math. Statist., 33, p. 1065-76. | MR | Zbl

[ 18] Prakasa-Rao (1969). - Estimation of a unimodal density. Sankhya, Ser. A, 31, p. 26-36. | Zbl

[ 19] Reiss (1973).

[20] Robertson (1967). - On estimating a density which is measurable with respect to a lattice. Ann. Math. Statist., 38, p. 482- 93. | MR | Zbl

[21] Rosenblatt (1956). - Remarks on some nonparametric estimates of a density. Ann. Math. Statist., 27, p. 832-7. | MR | Zbl

[22] (1971). - Curve estimates. Ann. Math. Statist., 33, p. 1065-76. | MR

[23] Sager (1975). - Consistency in nonparametric estimation of the mode. Ann. Statist., 3, p. 698-706. | MR | Zbl

[24] Sansone Orthogonal functions, Interscience. | Zbl

[25] Schuster (1969). - Estimation of a probability density function and its derivatives. Ann. Math. Statist., 40, p. 1187- 95. | MR | Zbl

[26] Shapiro (1969). - Smoothing and approximation of functions, Van Nostrand Reinhold. | MR | Zbl

[27] Schwarz-Stuart (1967). - Estimation of a probability density by orthogonal series. Ann. Math. Statist., 38, p. 1261-5. | MR | Zbl

[28] Van Ryzin (1966). - Bayes risk consistency of classification procedures using density estimation. Sankhya, Ser. A, 28, p. 261 -70. | MR | Zbl

[29] Venter (1967). - On the estimation of the mode. Ann. Math. Statist., 37, p. 1446-55. | MR | Zbl

[30] Wahba (1971). - A polynomial algorithm for density estimation. Ann. Math. Statist., 42, p. 1870-86. | MR | Zbl

[31] Watson (1969). - Density estimation by orthogonal series. Ann. Math. Statist., 40, p. 1496-8. | MR | Zbl

[32] Wegman (1969). - A note on estimating a unimodal density. Ann. Math. Statist., 40, p. 1661-17. | MR | Zbl

(1969). - Maximum likehood histograms, Institute of statistics 629, Univ. North Carolina.

(1970). - Maximum likehood estimation of a unimodal density I, II. Ann. Math. Statist., 41, p. 457-71, p. 2169-74. | Zbl

[33] Wegman (1972). - Nonparametric probability density estimation. A summary of available methods. Technometrics, 14, p. 533- 546. | Zbl

[34] Woodroofe (1967). - On the maximum deviation of the sample density. Ann. Math. Statist., 38, p. 475-81. | MR | Zbl

[35] Woodroofe (1970). - On choosing a delta sequence. Ann. Math. Statist., 41, p. 1665-71. | MR | Zbl