@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/} }
TY - JOUR AU - Deheuvels, Paul TI - Estimation non paramétrique de la densité par histogrammes généralisés JO - Revue de Statistique Appliquée PY - 1977 SP - 5 EP - 42 VL - 25 IS - 3 PB - Société de Statistique de France UR - http://www.numdam.org/item/RSA_1977__25_3_5_0/ LA - fr ID - RSA_1977__25_3_5_0 ER -
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] On some global measures of the deviates of density function estimates. Ann. Statist., 1, p. 1071- 95. | MR | Zbl
(1973). -(1975). - Corrections to. Ann. Statist. 3, p. 1370. | MR
[2] Mean square error properties of density estimates. Ann. Statist., 3, p. 1025-30. | MR | Zbl
(1975). -[3] Estimation of an unknown distribution density from observations. Sovet. Math., 3, p. 1559-62. | Zbl
(1962) -[4] Uber die darstellung willkürlicher funktione. Arkiv für Matematik Astronomi och Fysik, 2, p. 1-35. | JFM
(1905). -(1914) Contribution to the mathematical theory of statistics. Arkiv für Matematik Astronomi och Fysik, 9, p. 1- 18.
[5] Estimation de la densité (Thèse, Université Paris VI.
(1974). -(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] On the estimation of the probability density and its derivatives. Theor. Prob. Appl., 18, p. 628- 33. | Zbl
(1973). -[7] The law of error. Trans. Camb. Phil. Soc., 20, p. 36-, p. 113 | JFM
(1904). --(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] Nonparametric estimates of a multivariate probability density, Teor. Prob. Appl., 14, p. 153-8. | Zbl
(1969). -[9] Nonparametric roughness penalties of probability densities. Biometrika, 58, p. 255-277. | MR | Zbl
- (1971). -[10] On the theory of mortality measurement, II, Skand. Akt., 39, p. 125-53. | MR | Zbl
(1956). -[11] The advanced theory of statistics, Vol. 1-2-3, Griffin. | Zbl
-[12] A description of new computer methods for estimating the population density. Proc. A.C.M, Thompson book Company, 22, p. 511- 19.
- - (1967). -[13] The estimation of probability densities and cumulatives by Fourier series methods. J. Amer. Stat. Assoc., 63, p. 925-52. | MR | Zbl
- (1968). -(1970). - On multivariate density estimates based on orthogonal expansions. Ann. Math. Statist., 41, p. 718-22. | MR | Zbl
[14] On the estimation of probability density II. Ann. Math. Statist., 34, p. 480 -91. | MR | Zbl
- (1963). -[ 15] Estimation of the kth derivative of a distribution function. Ann. Statist., 2, p. 359-61. | Zbl
(1974). -[16] Nonparametric maximum likehood estimation of probability density by penalty function methods. Ann. Statist., 3, p. 1329-48. | MR | Zbl
- - (1975). -[ 17] On the estimation of a probability density function and the mode. Ann. Math. Statist., 33, p. 1065-76. | MR | Zbl
(1962). -[ 18] Estimation of a unimodal density. Sankhya, Ser. A, 31, p. 26-36. | Zbl
- (1969). -[ 19]
(1973).[20] On estimating a density which is measurable with respect to a lattice. Ann. Math. Statist., 38, p. 482- 93. | MR | Zbl
(1967). -[21] Remarks on some nonparametric estimates of a density. Ann. Math. Statist., 27, p. 832-7. | MR | Zbl
(1956). -[22] (1971). - Curve estimates. Ann. Math. Statist., 33, p. 1065-76. | MR
[23] Consistency in nonparametric estimation of the mode. Ann. Statist., 3, p. 698-706. | MR | Zbl
(1975). -[24] Orthogonal functions, Interscience. | Zbl
[25] Estimation of a probability density function and its derivatives. Ann. Math. Statist., 40, p. 1187- 95. | MR | Zbl
(1969). -[26] Smoothing and approximation of functions, Van Nostrand Reinhold. | MR | Zbl
(1969). -[27] Estimation of a probability density by orthogonal series. Ann. Math. Statist., 38, p. 1261-5. | MR | Zbl
- (1967). -[28] Bayes risk consistency of classification procedures using density estimation. Sankhya, Ser. A, 28, p. 261 -70. | MR | Zbl
(1966). -[29] On the estimation of the mode. Ann. Math. Statist., 37, p. 1446-55. | MR | Zbl
(1967). -[30] A polynomial algorithm for density estimation. Ann. Math. Statist., 42, p. 1870-86. | MR | Zbl
(1971). -[31] Density estimation by orthogonal series. Ann. Math. Statist., 40, p. 1496-8. | MR | Zbl
(1969). -[32] A note on estimating a unimodal density. Ann. Math. Statist., 40, p. 1661-17. | MR | Zbl
(1969). -(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] Nonparametric probability density estimation. A summary of available methods. Technometrics, 14, p. 533- 546. | Zbl
(1972). -[34] On the maximum deviation of the sample density. Ann. Math. Statist., 38, p. 475-81. | MR | Zbl
(1967). -[35] On choosing a delta sequence. Ann. Math. Statist., 41, p. 1665-71. | MR | Zbl
(1970). -