Recent developments in censored, non-Markov multi-state models

Advances in Intelligent and Soft Computing

Volumn 77, Issue , 2010, Pages 173-179

  De Uña Álvarez, Jacobo ^a  

^a UNIVERSITY OF VIGO   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

SOFT COMPUTING;

MARKOV ASSUMPTIONS; MULTI-STATE MODEL; NON-PARAMETRIC ESTIMATIONS; TEST STATISTICS; TRANSITION PROBABILITIES;

STATISTICAL TESTS;

EID: 80053032144     PISSN: 18675662     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-14746-3_22     Document Type: Conference Paper

References (11)

1. Aalen, O., Johansen, S.: An empirical transition matrix for nonhomogeneous Markov chains based on censored observations. Scand. J. Stat. 5, 141-150 (1978)
2. Andersen, P. K., Esbjerj, S., Sorensen, T. I. A.: Multistate models for bleeding episodes and mortality in liver cirrhosis. Stat. Med. 19, 587-599 (2000)
3. Datta, S., Satten, G. A.: Validity of the AalenJohansen estimators of stage occupation probabilities and Nelson Aalen integrated transition hazards for non-Markov models.. Stat. Probab. Lett. 55, 403-411 (2001)
4. Glidden, D.: Robust inference for event probabilities with non-Markov event data. Biometrics 58, 361-368 (2002)
5. Meira-Machado, L., de Uña-Álvarez, J., Cadarso- Suárez, C.: Nonparametric estimation of transition probabilities in a non-Markov illness-death model. Lifetime Data Anal. 12, 325-344 (2006)
6. Meira-Machado, L., de Uña-Álvarez, J., Cadarso- Suárez, C., Andersen, P. K.: Multi-state models for the analysis of time-to-event data. Statist. Meth. Med. Research 18, 195-222 (2009)
7. Stute, W.: Consistent estimation under random censorship when covariables are present. J. Multivariate Anal. 45, 89-103 (1993)
8. de Uña-Álvarez, J.: Estimación no paramétrica en modelos multi-estado no-Markovianos. In: Actas del XXX Congreso Nacional de la SEIO, Valladolid, Spain (2007a)
9. de Uña-Álvarez, J.: Testing that a multi-state model is Markov: new methods. In: Gomes, M. I., Pestana, D., Silva, P. (eds.) Abstracts of the 56th Session of the ISI, Lisbon, Portugal (2007b)
10. de Uña-Alvarez, J., Amorim, A. P.: A semiparametric estimator of the bivariate distribution function for censored gap times. Discussion Papers in Statistics and OR 09/03, University of Vigo (2009)
11. de Uña-Álvarez, J., Amorim, A. P., Meira-Machado, L.: Presmoothing the transition probabilities in the illness-death model (in preparation, 2010)