Estimation of absolutely continuous distributions for censored variables in two-sample nonparametric and semi-parametric models

Bernoulli

Volumn 13, Issue 1, 2007, Pages 92-113

  Pons, Odile ^a  

^a CEMAGREF   (France)

Author keywords

Absolutely continuous distributions; Censoring; Efficiency; Nonparametric estimation

Indexed keywords

EID: 47249149193     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/07-BEJ5047     Document Type: Article

References (8)

1. Anderson, J.A. (1979) Multivariate logistic compounds. Biometrika, 66, 17-26.
2. Bickel, R, Klaassen, C., Ritov, Y. and Wellner, J. (1993) Efficient and Adaptive Estimation for Semiparametric Models. Baltimore, MD: Johns Hopkins University Press.
3. Cheng, K.F and Chu, C.K. (2004) Semi-parametric density estimation under a two-sample density ratio model. Bernoulli, 10, 583-604.
4. Gilbert, P.B. (2000) Large sample theory of maximum likelihood estimates in semiparametric biased sampling models. Ann. Statist., 28, 151-194.
5. Gill, R. (1983) Large sample behaviour of the product-limit estimator on the whole line. Ann. Statist., 11, 49-58.
6. Gill, R., Vardi, Y. and Wellner, J. (1988) Large sample theory of empirical distributions in biased sampling models. Ann. Statist., 16, 1069-1112.
7. Pinçon, C. and Pons, O. (2006) Nonparametric estimator of a quantile function for the probability of event with repeated data. In P. Bertail, P. Doukhan and P. Soulier (eds), Dependence in Probability and Statistics, Lecture Notes in Statist. 187, pp. 479-493. Springer, New York.
8. van der Vaart, A.W (1988) Estimating a real parameter in a class of semiparametric models. Ann. Statist., 16, 1450-1474.