Nonparametric estimation of the multivariate survivor function: the multivariate Kaplan–Meier estimator
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Akritas MG, Van Keilegom I (2003) Estimation of the bivariate and marginal distributions with censored data. J R Stat Soc Ser B 65:457–471
Campbell G (1981) Nonparametric bivariate estimation with randomly censored data. Biometrika 68(2):417–422
Clayton DG (1978) Model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 65:141–151
Cox DR (1972) Regression models and life-tables (with discussion). J R Stat Soc Ser B 34(2):187–220
Fan J, Prentice RL, Hsu L (2000) A class of weighted dependence measures for bivariate failure time data. J R Stat Soc Ser B 62(1):181–190
Gill RD, Johansen S (1990) A survey of product integration with a view towards application in survival analysis. Ann Stat 18:1501–1555
Gill RD, van der Laan MJ, Wellner JA (1995) Inefficient estimators of the bivariate survival function for three models. Ann Inst H Poincaré Probab Stat 31(3):545–597
Hanley JA, Parnes MN (1983) Nonparametric estimation of a multivariate distribution in the presence of censoring. Biometrics 39(1):129–139
Kaplan EL, Meier P (1958) Nonparametric estimation from incomplete observations. J Am Stat Assoc 53(282):457–481
Li Y, Prentice RL, Lin X (2008) Semiparametric maximum likelihood estimation in normal transformation models for bivariate survival data. Biometrika 95:947–960
Oakes D (1982) A model for association in bivariate survival data. J R Stat Soc Ser B 44:414–422
Oakes D (1986) Semiparametric inference in a model for association in bivariate survival data. Biometrika 73(2):353–361
Prentice RL (2014) Self-consistent nonparametric maximum likelihood estimator of the bivariate survivor function. Biometrika 101(3):505–518
Prentice RL (2016) Higher dimensional Clayton—Oakes models for multivariate failure time data. Biometrika 103:231–236
Prentice RL, Cai J (1992) Covariance and survivor function estimation using censored multivariate failure time data. Biometrika 79(3):495–512
Tsai WY, Crowley J (1985) A large sample study of generalized maximum likelihood estimators from incomplete data via self-consistency. Ann Stat 13:1317–1334
Tsai WY, Leurgans S, Crowley J (1986) Nonparametric estimation of a bivariate survival function in the presence of censoring. Ann Stat 14(4):1351–1365