Presmoothed Kaplan-Meier and Nelson-Aalen estimators

Journal of Nonparametric Statistics

Volumn 17, Issue 1, 2005, Pages 31-56

  Cao, Ricardo ^a   López De Ullibarri, Ignacio ^a   Janssen, Paul ^b   Veraverbeke, Noël ^b  

^a UNIVERSITY OF A CORUÑA   (Spain)

^b HASSELT UNIVERSITY   (Belgium)

Author keywords

Bandwidth selection; Censored data; Kernel smoothing; Plug in bandwidth

Indexed keywords

EID: 12344269317     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/10485250410001713981     Document Type: Article

References (16)

1. Dikta, G., 1998, On semiparametric random censorship models. Journal of Statistical Planning and Inference, 66, 253-279.
2. Koziol, J.A. and Green, S.B., 1976, A Cramér-von Mises statistic for randomly censored data. Biometrika, 63, 465-474.
3. Nelson, W., 1972, Theory and applications for hazard plotting for censored failure data. Technometrics, 14, 945-965.
4. Aalen, O.O., 1978, Nonparametric inference for a family of counting processes. Annals of Statistics, 6, 701-726.
5. Ziegler, S., 1995, Ein modifizierter Kaplan-Meier Schätzer. Diplomarbeit, University of Gießen.
6. Watson, G.S. and Leadbetter, M.R., 1964a, Hazard analysis I. Biometrika, 51, 175-184.
7. Watson, G.S. and Leadbetter, M.R., 1964b, Hazard analysis II. Sankhya-The Indian Journal of Statistics Series A, 26, 101-116.
8. López-de-Ullibarri, I., 2004, Estimación presuarizada de las funciones de riesgo acumulativa y no acumulativa con datos censurados. Ph.D. dissertation, University of Santiago de Compostela, Spain. [http://www.udc.es/dep/mate/ricardo/PhDadvisorships.htm].
9. Kaplan, E.L. and Meier, P., 1958, Nonparametric estimation for incomplete observations. Journal of the American Statistical Association, 53, 457-481.
10. Lo, S.H., Mack, Y.P. and Wang, J.L., 1989, Density and hazard rate estimation for censored data via strong representation of the Kaplan-Meier estimator. Probability Theory and Related Fields, 80, 461-473.
11. Gijbels, I. and Wang, J.L., 1993, Strong representations of the survival function for truncated and censored data with applications. Journal of Multivariate Analysis, 47, 210-229.
12. Abdushukurov, A.A., 1987, Estimation of the probability density and intensity function of the Koziol-Green model of random censoring. Sankhya - The Indian Journal of Statistics Series A, 48, 150-168.
13. Cheng, P.E. and Lin, G.D., 1987, Maximum likelihood estimation of a survival function under the Koziol-Green proportional hazards model. Statistics and Probability Letters, 5, 75-80.
14. Lo, S.H. and Singh, K., 1986, The product-limit estimator and the bootstrap: some asymptotic representations. Probability Theory and Related Fields, 71, 455-465.
15. Mack, Y.P. and Silverman, B.W., 1982, Weak and strong uniform consistency of kernel regression estimates. Zeitschrift for Wahrscheinlichkeitstheorie und Verwandte Gebiete, 61, 405-415.
16. Cao, R., López-de-Ullibarri, I., Janssen, P. and Veraverbeke, N., 2003, Presmoothed Kaplan-Meier and Nelson-Aalen estimators. Technical Report # 03-01, Department of Statistics and Operations Research, University of Santiago de Compostela. [www http://eio.usc.es/pub/reports.html]