@article{AIHPB_1995__31_3_545_0,
author = {Gill, Richard D. and Laan, Mark J. van der and Wellner, Jon A.},
title = {Inefficient estimators of the bivariate survival function for three models},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {545--597},
publisher = {Gauthier-Villars},
volume = {31},
number = {3},
year = {1995},
mrnumber = {1338452},
zbl = {0855.62024},
language = {en},
url = {http://archive.numdam.org/item/AIHPB_1995__31_3_545_0/}
}
TY - JOUR AU - Gill, Richard D. AU - Laan, Mark J. van der AU - Wellner, Jon A. TI - Inefficient estimators of the bivariate survival function for three models JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1995 SP - 545 EP - 597 VL - 31 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1995__31_3_545_0/ LA - en ID - AIHPB_1995__31_3_545_0 ER -
%0 Journal Article %A Gill, Richard D. %A Laan, Mark J. van der %A Wellner, Jon A. %T Inefficient estimators of the bivariate survival function for three models %J Annales de l'I.H.P. Probabilités et statistiques %D 1995 %P 545-597 %V 31 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1995__31_3_545_0/ %G en %F AIHPB_1995__31_3_545_0
Gill, Richard D.; Laan, Mark J. van der; Wellner, Jon A. Inefficient estimators of the bivariate survival function for three models. Annales de l'I.H.P. Probabilités et statistiques, Tome 31 (1995) no. 3, pp. 545-597. http://archive.numdam.org/item/AIHPB_1995__31_3_545_0/
, , and , Statistical Models Based on Counting Processes, Springer-Verlag, New York, 1992. | Zbl
, Two nonparametric estimators of the survival function of bivariate right censored observations, Report BS-R9035, Centre for mathematics and computer science, Amsterdam, 1990.
, and , Efficient estimation of linear functionals of a probability measure P with known marginal distributions, Ann. Statist., Vol. 19, 1991, pp. 1316-1346. | MR | Zbl
, , and , Efficient and Adaptive Estimation for Semiparametric Models, John Hopkins University Press, 1993. | MR | Zbl
, Estimation of a bivariate survival function under random censorship, Biometrika, Vol. 75, 1988, pp. 379-382. | MR | Zbl
, Kaplan Meier Estimate on the Plane, Ann. Statist., Vol. 16, 1988, pp. 1475-1489. | MR | Zbl
, Kaplan Meier Estimate on the Plane: Weak Convergence, LIL, and the Bootstrap, J. Multivar. Anal., Vol. 29, 1989, pp. 308-325. | MR | Zbl
, Weak convergence of probabilities on nonseparable metric spaces, and empirical measures on Euclidean spaces, Illinois J. Math., Vol. 10, 1966, pp. 109-126. | MR | Zbl
, Fréchet differentiability, p-variation and universal Donsker classes. Ann. Prob. Vol. 20, 1991, pp. 1968-1983. | MR | Zbl
, Empirical processes, p-variation for p ≤ 2 and the quantile and ∫ FdG operator, unpublished manuscript 1992.
, Non- and Semi-parametric Maximum Likelihood Estimators and the von Mises Method (Part 1), Scand. J. Statist., Vol. 16, 1989, pp. 97-128. | MR | Zbl
and , A survey of product integration with a view towards application in survival analysis, Ann. Statist., Vol. 18, 1990, pp. 1501-1555. | MR | Zbl
, Multivariate survival analysis, Theory Prob. Appl., Vol. 37, 1992, pp. 18-31 and 307-328 (in Russian; English translation to appear). | Zbl
and , Bootstrapping general empirical measures, Ann. Probability, Vol. 18, 1990, pp. 284-301. | MR | Zbl
, Stochastic Processes on Polish Spaces, unpublished manuscript, 1984.
and , Functional Analysis, translated by Howard L. Silcock, New York, Permagon Press, 1982. | MR | Zbl
, Dabrowska's multivariate product limit estimator and the delta-method, Master's Thesis, Dept. of Math., Utrecht Univ., 1990.
, Analysis of Pruitt's estimator of the bivariate survival function, preprint No. 648, Dept of Math., Utrecht Univ., 1991.
, Efficient Estimator of the Bivariate Survival Function for Right Censored Data, Technical Report No. 337, Department of Statistics, University of California, Berkeley, 1992.
, Probability Theory, van Nostrand, New York, 1955. | MR | Zbl
, On weak convergence of stochastic processes with multidimensional time parameter, Ann. Math. Statist., Vol. 42, 1971, pp. 1285-1295. | MR | Zbl
, Convergence of Stochastic Processes, Springer-Verlag, New York, 1984. | MR | Zbl
and , Covariance and survivor function estimation using censored multivariate failure time data, Biometrika, Vol. 79, 1992a, pp. 495-512. | MR | Zbl
and , Marginal and conditional models for the analysis of multivariate failure time data. Klein J. P. and Goel P. K., Eds., Survival Analysis State of the Art, Kluwer, Dordrecht, 1992b. | Zbl
, On negative mass assigned by the bivariate Kaplan-Meier estimator, Ann. Stat., Vol. 19, 1991a, pp. 443-453. | MR | Zbl
, Small sample comparisons of five bivariate survival curve estimators, Technical Report No. 559, University of Minnesota, 1991a.
, Strong consistency of self-consistent estimators: general theory and an application to bivariate survival analysis, Technical Report No. 543, University of Minnesota, 1991b.
, On the definition of von Mises functionals, Ph. D. thesis, Dept. of Statistics, Harvard University, Research Report S-44, 1976.
and , Uniformity in P of some limit theorems for empirical measures and processes, Technical Report No. 134, Dept. of Statistics, Univ. of Washington, 1988.
and , Uniform Donsker Classes of Functions, Ann. Probability, Vol. 20, 1992, pp. 1983-2030. | MR | Zbl
and , Empirical Processes. Wiley, New York, 1986. | MR
and , Prohorov and continuous mapping theorems in the Hoffmann-Jørgensen weak convergence theory, with application to convolution and asymptotic minimax theorems, Tech. Report No. 157. Dept. of Statistics, University of Washington, Seattle, 1989.
and , Weak Convergence and Empirical Processes, Springer Verlag, New York, to appear 1995. | MR | Zbl
, Covariance formulas via marginal martingales, Statistica Neerlandica, Vol. 48, 1994. | MR | Zbl
