Bandwidth selection for the estimation of transition probabilities in the location-scale progressive three-state model

Computational Statistics

Volumn 28, Issue 5, 2013, Pages 2185-2210

  Meira Machado, Luís ^a   Roca Pardiñas, Javier ^b   Van Keilegom, Ingrid ^c   Cadarso Suárez, Carmen ^d  

^a UNIVERSITY OF MINHO   (Portugal)

^b UNIVERSITY OF VIGO   (Spain)

^c UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^d UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

Censoring; Computational statistics; Location scale model; Nonparametric regression; Progressive three state model; Transition probabilities

Indexed keywords

EID: 84884700322     PISSN: 09434062     EISSN: 16139658     Source Type: Journal    
DOI: 10.1007/s00180-013-0402-0     Document Type: Article

References (14)

1. Aalen OO, Johansen S (1978) An empirical transition matrix for nonhomogeneous Markov chains based on censored observations. Scand J Stat 5: 141-150.
2. Amorim AP, Uña-Álvarez J, Meira-Machado LF (2001) Presmoothing the transition probabilities in the illness-death model. Stat Probab 81: 797-806.
3. Andersen PK, Borgan O, Gill RD, Keiding N (1993) Statistical models based on counting processes. Springer, New York.
4. Beran R (1981) Nonparametric regression with randomly censored survival data. Technical report. University of California, Berkeley.
5. Cadarso-Suárez C, Meira-Machado LF, Kneib T, Gude F (2010) Flexible hazard ratio curves for continuous predictors in multi-state models: a P-spline approach. Stat Model 10: 291-314.
6. Chavez-Uribe E, Cameselle-Teijeiro J, Vinuela JE et al (2007) Hypoploidy defines patients with poor prognosis in breast cancer. Oncol Rep 17: 1109-1114.
7. Dabrowska DM (1992) Variable bandwidth conditional Kaplan-Meier estimate. Scand J Stat 19: 351-361.
8. Hougaard P (2000) Analysis of multivariate survival data. Springer, New-York.
9. Kaplan EL, Meier P (1958) Nonparametric estimation from incomplete observations. J Am Stat Assoc 53: 457-481.
10. Li G, Datta G (2001) A bootstrap approach to nonparametric regression for right censored data. Ann Inst Stat Math 53: 708-729.
11. Meira-Machado LF, de Uña-Álvarez J, Cadarso-Suárez C (2006) Nonparametric estimation of transition probabilities in a non-Markov illness-death model. Lifetime Data Anal 12: 325-344.
12. van Keilegom I, Akritas M (1999) Transfer of tail information in censored regression models. Ann Stat 27: 1745-1784.
13. van Keilegom I, Akritas M, Veraverbeke N (2001) Estimation of the conditional distribution in regression with censored data: a comparative study. Comput Stat Data Anal 35: 487-500.
14. van Keilegom I, de Uña-Álvarez J, Meira-Machado LF (2011) Nonparametric location-scale models for successive survival times under dependent censoring. J Stat Plan Inference 141: 1118-1131.