Estimation non paramétrique du taux de hasard en présence de censures droites : la méthode des fonctions orthogonales
Delecroix, M. ; Yazourh, O.
Statistique et analyse des données, Tome 16 (1991), p. 39-62 / Harvested from Numdam
Publié le : 1991-01-01
@article{SAD_1991__16_3_39_0,
     author = {Delecroix, M. and Yazourh, O.},
     title = {Estimation non param\'etrique du taux de hasard en pr\'esence de censures droites : la m\'ethode des fonctions orthogonales},
     journal = {Statistique et analyse des donn\'ees},
     volume = {16},
     year = {1991},
     pages = {39-62},
     mrnumber = {1209839},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/SAD_1991__16_3_39_0}
}
Delecroix, M.; Yazourh, O. Estimation non paramétrique du taux de hasard en présence de censures droites : la méthode des fonctions orthogonales. Statistique et analyse des données, Tome 16 (1991) pp. 39-62. http://gdmltest.u-ga.fr/item/SAD_1991__16_3_39_0/

Aalen O., (1978) Nonparametric estimation of partial transition probabilities in multiple decrement models, Ann. Stat. 6, p 534-545. | MR 478510 | Zbl 0383.62057

Billingsley P., (1968) Convergence of probability measures, Wiley New-York. | MR 233396 | Zbl 0944.60003

Breslow N., Crowley, J., (1974) A large sample study of the life table and product limit estimates under random censorship, Ann. of statist. 2 ( 1974), p 437-453. | MR 458674 | Zbl 0283.62023

Droesbele, J.J., Fichet, B. Tassi, P. éditeurs, Analyse statistique des durées de vie, Economica (1989). | MR 1030997

Efron, B., (1967) The two sample problem with censored data, Proc. 5th Berkeley symp, Vol. 4, p 831-853.

Földes, A., Rejtö, L.Winter, B.B., (1981) Strong consistency properties of nonparametric estimators for randomly censored data II. Estimation of density and failure rate - Period. Math. Hungar 12, p 15-29. | MR 607625 | Zbl 0461.62038

Gneyou K.E., (1991) Inférence statistique non paramétrique pour l'analyse du taux de panne en fiabilité. - Thèse soutenue à l'Université de Paris VI.

Grégoire, G. (1991) Bandwidth selection for the intensity of point processes. Application to hazard rate models for censored data. RR LMC/IMAG 8591 & M.

Hjört N.L., (1985) Discussion contribution to Andersen and Borgan's review article. Scand. J. Statis. -12 - p 141-150.

Hjört N.L., (1991) Semiparametric estimation of parametric hazard rates. Invited paper presented at the Advanced Study Workshop on Survival Analysis and Related Topics. | MR 1175645 | Zbl 0761.62155

Kaplan, E., Meier, P., (1958) Nonparametric estimation from incomplete observations, JASA 53, p 457-481. | MR 93867 | Zbl 0089.14801

Kimura, D.K., (1972) Fourier series methods for censored data, Thèse soutenue à l'Université de Washington.

Lo S.H., Mack, Y.P. and Wang, J.L., (1989) Density and hazard rate estimation for censored data via strong representation of the Kaplan-Meier estimator, Prob.Th.and Rel. Fields. 80 - p 461-473. | MR 976536 | Zbl 0637.62039

Lo S.H., Singh, K., (1986) The product-limit estimator and the bootstrap. Some asymptotic representations. Prob. Th.and Rel. Fields 71 - p 455-465. | MR 824714 | Zbl 0561.62032

Mckeague, I.W., (1986) Estimation for a semimartingale regression model using the method of sieves, Ann. Statis. 14 - p 579-589. | MR 840515 | Zbl 0651.62084

Mielniczuk, J., (1983) Properties of some kernel estimators and of the adapted Loftgarten-Quesenberry estimator of a density function for censored data, Periodica Math. Hungarica, Vol. 16 (2), p 69-80 | MR 797347 | Zbl 0568.62043

Nelson, W.B., (1972) Theory and applications of hazard plotting for censored failure data, Technometrics 14, p 945-966.

Pollard, D., (1984) Convergence of stochastic processes, Springer Verlag. | MR 762984 | Zbl 0544.60045

Pons, O., (1986) Vitesse de convergence des estimateurs à noyau pour l'intensité d'un processus ponctuel, Statistics, 17 - p 577-584. | MR 861813 | Zbl 0616.62049

Reid, N., (1981) Influence Functions for censored data, The Annals of Stat., Vol. 9 n° 1, p 78-92. | MR 600534 | Zbl 0457.62031

Singpurwalla, N.D., Wong, W.H., (1983) The estimator of the hazard function from randomly censored data by kernel method, JASA, 78 p 478-481. | MR 711128 | Zbl 0523.62034

Szego, G., (1959) Orthogonal polynomials, Amer. Math. Soc. Coll. Publ. 32.

Tanner, A., Wing Hung Wong, (1983) The estimation of the hazard function from randomly censored data by the kernel method, The Annals of statistics, Vol. 11 n° 3, p 989-993. | MR 707949 | Zbl 0546.62017