Redistribution algorithms for censored data

Statistics and Probability Letters

Volumn 46, Issue 4, 2000, Pages 385-389

  Betensky, Rebecca A ^a  

^a HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Kaplan Meier estimator; Nonparametric maximum likelihood estimator; Self consistent estimator; Survivor function

Indexed keywords

EID: 0042278795     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(99)00127-3     Document Type: Article

References (10)

1. Ayer M., Brunk H.D., Ewing G.M., Reid W.T., Silverman E. An empirical distribution function for sampling with incomplete information. Ann. Math. Statist. 26:1955;641-647.
2. Dinse G.E. An alternative to Efron's redistribution-of-mass construction of the Kaplan-Meier estimator. Amer. Statist. 39:1985;299-300.
3. Efron, B., 1967. The two sample problem with censored data. Proceedings of the fifth Berkeley Symposium, Vol 4. University of California Press, Berkeley, CA, pp. 831-853.
4. Frydman H. A note on nonparametric estimation of the distribution function from interval-censored and truncated observations. J. Roy. Statist. Soc. Ser. B. 56:1994;71-74.
5. Gentleman R., Geyer C.J. Maximum likelihood for interval censored data: consistency and computation. Biometrika. 81:1994;618-623.
6. Groeneboom, P., Wellner, J.A., 1992. Information bounds and nonparametric maximum likelihood estimation. DMV Seminar Band, Vol. 19. Birkhauser, Basel.
7. Kaplan E.L., Meier P. Nonparametric estimation from incomplete observations. J. Amer. Statist. Assoc. 53:1958;457-481.
8. Malani H.M. A modification of the redistribution to the right algorithm using disease markers. Biometrika. 82:1995;515-526.
9. Peto R. Experimental survival curves for interval-censored data. Appl. Statist. 22:1973;86-91.
10. Turnbull B.W. The empirical distribution function with arbitrarily grouped, censored and truncated data. J. Roy. Statist. Soc. Ser. B. 38:1976;290-295.