Minimum distance estimation in doubly censored two sample scale model

Journal of Statistical Planning and Inference

Volumn 115, Issue 2, 2003, Pages 657-681

  Sundaram, Rajeshwari ^a  

^a UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

Author keywords

A.s. representation; Double censoring; Self consistent estimator

Indexed keywords

EID: 0037564176     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00174-X     Document Type: Article

References (25)

1. Beran R.J. Minimum Hellinger distance estimates for parametric models Ann. Statist. 5 1977 445-463
2. Beran R.J. An efficient and robust adaptive estimator of location Ann. Statist. 6 1978 292-313
3. Chang M.N. Weak convergence of a self-consistent estimator of the survival function with the doubly censored data Ann. Statist. 18 1990 391-404
4. Chang M.N. Yang G.L. Strong consistency of a non-parametric estimator of the survival function with doubly censored data Ann. Statist. 15 1987 1536-1547
5. Donoho D.L. Liu R.C. The automatic robustness of minimum distance functionals Ann. Statist. 16 1988 552-586
6. Donoho D.L. Liu R.C. Pathologies of some minimum distance estimators Ann. Statist. 16 1988 587-608
7. Gehan E.A. A generalized two sample Wilcoxon test for doubly censored data Biometrika 52 1965 650-653
8. Gu M.G. Zhang C.-H. Asymptotic properties of self-consistent estimators based on doubly censored data Ann. Statist. 21 1993 611-624
9. Koul H.L. Minimum distance estimation in multiple linear regression Sankhya 47A 1985 57-74
10. Koul, H.L., 1992. Weighted Empiricals and Linear Models, Institute of Mathematical Statistics, Lecture Notes-Monograph Series, 21. Institute of Mathematical Statistics, Hayward, CA.
11. Koul H. de Wet T. Minimum distance estimation in a linear regression model Ann. Statist. 11 1983 921-932
12. Koul, H.L., Yang, S., 1989. Minimum distance estimation of scale parameter in the two sample problem: censored and uncensored data. Invited paper at Ohio State-Korea University Conference, 1987, in: Klein, J., Lee, J. (Eds.), Recent Developments in Statistics and their applications. Freedom press, pp. 117-134.
13. Leiderman P.H. Babu D. Kagia J. Kraemer H.C. Leiderman G.F. African infant precocity and some social influences during the first year Nature 242 1973 247-249
14. Mantel N. Ranking procedures for arbitrarily restricted observations Biometrics 23 1967 65-78
15. Millar P.W. Robust estimation via minimum distance methods Z. Wahrsch. Verw. Gebiete 55 1981 73-89
16. Millar, P.W., 1983. The Minimax Principle in Asymptotic Statistical Theory, Lecture Notes in Mathematics, Vol. 876, Springer, New York, pp. 75-365.
17. Peer P.G. Van Dijck J.A. Hendriks J.H. Holland R. Verbeek A.L. Age-dependent growth rate of primary breast cancer Cancer 71 1993 3547-3551
18. Peto R. Experimental survival curves for interval censored data Appl. Statist. 13 1973 1317-1334
19. Pollard D. Convergence of Stochastic Processes 1984 Springer New York
20. Ren J.J. Gu M. Regression M-estimators with doubly censored data Ann. Statist. 25 1997 2638-2664
21. Tsai W.Y. Crowley J. A large sample study of generalized maximum likelihood estimators from incomplete data via self-consistency Ann. Statist. 13 1985 1317-1334
22. Turnbull B.W. Nonparametric estimation of a survivorship function with doubly censored data J. Amer. Statist. Assoc. 69 1974 169-173
23. Van Der Vaart A. Wellner J.A. Weak Convergence and Empirical Processes 1994 Springer New York
24. Yang S. Koul H.L. Minimum distance estimation of the center of symmetry with randomly censored data Metrika 42 1995 79-97
25. Zhang C.H. Li X. Linear regression with doubly censored data Ann. Statist. 24 1996 2720-2743