Nonparametric estimation of survival function with recurrent event data;Estimación no paramétrica de la función de supervivencia para datos con eventos recurrentes

Revista Espanola de Salud Publica

Volumn 78, Issue 2, 2004, Pages 189-199

  González, Juan R ^a,c   Peña, Edsel A ^b  

^a CATALAN INSTITUTE OF ONCOLOGY   (Spain)

^b UNIVERSITY OF SOUTH CAROLINA   (United States)

^c HOSPITAL UNIVERSITARI DE BELLVITGE   (Spain)

Author keywords

Nonparametric statistics; Patient readmission; Recurrences; Survival analysis

Indexed keywords

ARTICLE; HEALTH STATISTICS; HOSPITALIZATION; HUMAN; NONPARAMETRIC TEST; RECURRENCE RISK; STATISTICAL ANALYSIS; SURVIVAL;

EID: 2442683116     PISSN: 11355727     EISSN: None     Source Type: Journal    
DOI: 10.1590/s1135-57272004000200006     Document Type: Article

References (23)

1. Cox DR. Regression models and life tables. J R Stat Soc Ser B 1972;34:187-220.
2. Wang M, Chang S. Nonparametric estimation of a recurrent survival function. J Am Stat Assoc 1999;94:146-153.
3. Lin D, Sun W, Ying Z. Nonparametric estimation of the gap time distribution for serial events with censored data. Biometrika 1999;86:59-70.
4. Peña E, Strawderman R, Hollander M. Nonparametric estimation with recurrent event data. J Am Stat Assoc 2001;96:1299-1315.
5. Gill R. Testing with replacement and the product-limit estimator. The Annals of Statistics 1981;9:853-860.
6. Vardi Y. Nonparametric estimation in the presence of length bias. The Annals of Statistics 1982;10:616-620.
7. Vardi Y. Nonparametric estimation in renewal processes. The Annals of Statistics 1982;10:772-785.
8. McClean S, Devine CA. nonparametric maximum likelihood estimator for incomplete renewal data. Biometrika 1995;85:605-618.
9. Soon G, Woodroofe M. Nonparametric estimation and consistency for renewal processes. Journal of Statistical Planning and Inference 1996;53:171-195.
10. Andersen P, Gill R. Cox's regression model for counting processes: a large sample study. Annals of Statistics 1982;10:1100-1120.
11. Wei L, Lin D, Weissfeld L. Regression analysis of multivariate incomplete failure time data by modeling marginal distributions. J Am Stat Assoc 1989;84:1065-1073.
12. Prentice R, Williams B, Peterson A. On the regression analysis of multivariate failure time data. Biometrika 1981;68:373-379.
13. Barceló MA. Modelos marginales y condicionales en el análisis de supervivencia multivariante. Gac Sanit 2003;16(Supl 2):59-68.
14. Andersen PK, Borgan O, Gill R, Keilding N. Statistical models based on counting process. New York: Springer-Verlag; 1993.
15. Murphy S. Asymptotic theory for the frailty model. The Annals of Statistics 1995;23:182-198.
16. Therneau TM, Grambsch PM. Modelling survival data: extending the Cox model. New York: Springer-Verlag; 2000.
17. Sellke T. Weak convergence of the Aalen estimator for a censored renewal process. En Statistical Decision Theory and Related Topics IV. S Gupta y J. Berger eds 2. New York: Springer-Verlag; 1988.p. 183-94.
18. González JR, Peña EA, Strawderman R. The Survrec Package. The Comprehensive R Archive Network; 2002. Disponible en: http://cran.r-project.org
19. Aalen O, Husebye E. Statistical analysis of repeated events forming renewal processes. Stat Med, 1991;10:1227-40.
20. González JR, Peña EA. Bootstraping median survival with recurrent event data. IX Conferencia Española de Biometría; A Coruña; 2003 May 28-30.
21. Hortobagyi GN, Theriault RL, Lipton A, Porter L, Blayney D, Sinoff C, et al. Long-term prevention of skeletal complications of metastatic breast cancer with pamidronate. Protocol 19 Aredia Breast Cancer Study Group. J Clin Oncol 1998;16:2038-44.
22. Glynn RJ, Buring JE. Ways of measuring rates of recurrent events. BMJ, 1996;312:364-7.
23. Cook RJ, Major P. Methodology for treatment evaluation in patients with cancer metastatic to bone. J Natl Cancer Inst 2001;93:534-8.