@article{AIHPB_2001__37_4_503_0, author = {Gin\'e, Evarist and Guillou, Armelle}, title = {On consistency of kernel density estimators for randomly censored data : rates holding uniformly over adaptive intervals}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {503--522}, publisher = {Elsevier}, volume = {37}, number = {4}, year = {2001}, mrnumber = {1876841}, zbl = {0974.62030}, language = {en}, url = {http://www.numdam.org/item/AIHPB_2001__37_4_503_0/} }
TY - JOUR AU - Giné, Evarist AU - Guillou, Armelle TI - On consistency of kernel density estimators for randomly censored data : rates holding uniformly over adaptive intervals JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2001 SP - 503 EP - 522 VL - 37 IS - 4 PB - Elsevier UR - http://www.numdam.org/item/AIHPB_2001__37_4_503_0/ LA - en ID - AIHPB_2001__37_4_503_0 ER -
%0 Journal Article %A Giné, Evarist %A Guillou, Armelle %T On consistency of kernel density estimators for randomly censored data : rates holding uniformly over adaptive intervals %J Annales de l'I.H.P. Probabilités et statistiques %D 2001 %P 503-522 %V 37 %N 4 %I Elsevier %U http://www.numdam.org/item/AIHPB_2001__37_4_503_0/ %G en %F AIHPB_2001__37_4_503_0
Giné, Evarist; Guillou, Armelle. On consistency of kernel density estimators for randomly censored data : rates holding uniformly over adaptive intervals. Annales de l'I.H.P. Probabilités et statistiques, Tome 37 (2001) no. 4, pp. 503-522. http://www.numdam.org/item/AIHPB_2001__37_4_503_0/
[1] Nonparametric inference in connection with multiple decrement models, Scand. J. Statist. 3 (1976) 15-27. | MR | Zbl
,[2] Probability inequalities for empirical processes and a law of iterated logarithm, Ann. Probab. 12 (1984) 1041-1067. | MR | Zbl
,[3] A Dvoretzky-Kiefer-Wolfowitz type inequality for the Kaplan-Meier estimator, Ann. Inst. Henri Poincaré 35 (1999) 735-763. | Numdam | MR | Zbl
, , ,[4] A large sample study of the life table and product limit estimates under random censorship, Ann. Statist. 2 (1974) 437-453. | MR | Zbl
, ,[5] Universal Gaussian approximations under random censorship, Ann. Statist. 24 (1996) 2744-2778. | MR | Zbl
,[6] Decoupling, from Dependence to Independence, Springer-Verlag, New York, 1999. | MR | Zbl
, ,[7] Kernel density and hazard function estimation in the presence of censoring, J. Multivariate Anal. 25 (1988) 299-310. | MR | Zbl
, ,[8] An empirical process approach to the uniform consistency of kernel-type function estimators, J. Theor. Probab. 13 (2000) 1-37. | MR | Zbl
, ,[9] Laws of the iterated logarithm for censored data, Ann. Probab. 27 (1999) 2042-2067. | MR | Zbl
, ,[10] Non-parametric estimation from incomplete observations, J. Amer. Statist. Assoc. 53 (1958) 457-481. | MR | Zbl
, ,[11] Rates of convergence in the central limit theorem for empirical processes, Ann. Inst. Henri Poincaré 22 (1986) 381-423. | Numdam | MR | Zbl
,[12] Comparison of sums of independent identically distributed random vectors, Probab. Math. Statist. 14 (1993) 281-285. | MR | Zbl
,[13] Theory and applications of hazard plotting for censored failure data, Technometrics 14 (1972) 945-966.
,[14] Strong and weak representations of cumulative hazard function and Kaplan-Meier estimators on increasing sets, J. Statist. Plann. Inference 42 (1994) 315-329. | MR | Zbl
,[15] Sharper bounds for Gaussian and empirical processes, Ann. Probab. 22 (1994) 28-76. | MR | Zbl
,[16] New concentration inequalities in product spaces, Invent. Math. 126 (1996) 505-563. | MR | Zbl
,