A semiparametric Bayesian proportional hazards model for interval censored data with frailty effects

BMC Medical Research Methodology

Volumn 9, Issue 1, 2009, Pages

  Henschel, Volkmar ^a,b   Engel, Jutta ^a   Hölzel, Dieter ^a   Mansmann, Ulrich ^a  

^a UNIVERSITY OF MUNICH   (Germany)

^b Biostatistics   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; BAYES THEOREM; BRAIN ARTERIOVENOUS MALFORMATION; COLON CANCER; COMPUTER PROGRAM; INTERVAL CENSORED EVENT DATA; MEDICAL DOCUMENTATION; MONTE CARLO METHOD; PARAMETRIC TEST; PROBABILITY; PROPORTIONAL HAZARDS MODEL; SIMULATION; AGED; CLUSTER ANALYSIS; COLORECTAL TUMOR; GERMANY; HUMAN; MALE; METHODOLOGY; MIDDLE AGED; MULTIVARIATE ANALYSIS; OUTCOME ASSESSMENT; PROGNOSIS; REGISTER; REPRODUCIBILITY; STATISTICS;

AGED; AGED, 80 AND OVER; ALGORITHMS; BAYES THEOREM; CLUSTER ANALYSIS; COLORECTAL NEOPLASMS; GERMANY; HUMANS; MALE; MIDDLE AGED; MULTIVARIATE ANALYSIS; OUTCOME ASSESSMENT (HEALTH CARE); PROGNOSIS; PROPORTIONAL HAZARDS MODELS; REGISTRIES; REPRODUCIBILITY OF RESULTS;

EID: 65549146846     PISSN: None     EISSN: 14712288     Source Type: Journal    
DOI: 10.1186/1471-2288-9-9     Document Type: Article

References (36)

1. A proportional hazards model for interval-censored failure time data. D Finkelstein, Biometrics 1986 42 845 854 3814726 (Pubitemid 17134903)
2. Efficient Estimation for the Cox Model with Interval Censoring. J Huang, The Annals of Statistics 1996 24 540 568
3. Efficient Estimation for the Cox Model with Case 2 Interval Censoring. J Huang J Wellner, Tech Rep 290 Department of Statistics, University of Washington 1995
4. Additive Hazards regression with Current Status Data. D Lin D Oakes Z Ying, Biometrika 1998 85 289 298
5. Extending the Iterative convex Minorant Algorithm to the Cox Model for Interval-Censored Data. W Pan, Journal of Computational and Graphical Statistics 1999 78 109 120
6. Rank-based inference in the proportional hazards model for interval censored data. G Satten, Biometrika 1996 83 355 370
7. Estimation of Density for Arbitrarily Censored And Truncated Data. C Huber V Solev F Vonta, Probability, statistics and modelling in public health New York: Springer, Nikulin MS, 2006 246 265
8. Analysis of clustered and interval censored data from a community based study in asthma. S Bellamy Y Li L Ryan S Lipsitz M Canner R Wright, Statistics in Medicine 2004 23 3607 3621 15534894 (Pubitemid 39549566)
9. WinBUGS - The BUGS Project. WinBUGS 1.4.3. 2007 http://www.mrc-bsu.cam. ac.uk/bugs/winbugs/contents.shtml
10. Regression models and life tables (with discussion). DR Cox, Journal of the Royal Statistical Society (B) 1972 34 187 220
11. A Bayesian Analysis of some non-parametric problems. T Ferguson, Annals of Statistics 1973 1 209 230
12. Nonparametric Bayesian analysis of survival time data. J Kalbfleisch, Journal of the Royal Statistical Society (B) 1978 40 214 221
13. D Dey P Müller D Sinha, Practical Nonparametric and Semiparametric Bayesian Statistics New York: Springer 1998
14. J Ibrahim M Chen D Sinha, Bayesian Survival Analysis New York, Berlin, Heidelberg: Springer 2001
15. Caries on permanent teeth: A nonparametric Bayesian analysis. T Härkänen J Virtanen E Arjas, Scandinavian Journal of Statistics 2000 27 577 588
16. BITE: A Bayesian intensity estimator. T Härkänen, Computational Statistics 2003 18 565 583 (Pubitemid 37424358)
17. Geoadditive survival models. A Hennerfeind A Brezger L Fahrmeir, Journal of the American Statistical Association 2006 101 1065 1075
18. Mixed model based inference in geoadditive hazard regression for interval censored survival times. T Kneib, Computational Statistics and Data Analysis 2006 51 777 792 (Pubitemid 44635914)
19. C de Boor, A Practical Guide to Splines Berlin: Springer 1978
20. Dynamic Bayesian Models for Survival Data. D Gamerman, Applied Statistics 1991 40 63 79
21. Bayesian P-Splines. S Lang A Brezger, Journal of Computational and Graphical Statistics 2004 13 183 212 (Pubitemid 38422440)
22. The fitting of exponential, Weibull and extreme value distributions to complex censored survival data using GLIM. M Aitkin D Clayton, Applied Statistics 1980 29 156 63
23. Sampling from the posterior distribution in generalized linear mixed models. D Gamerman, Statistics and Computing 1997 7 57 68 (Pubitemid 127047473)
24. On block updating in Markov random field models for disease mapping. L Knorr-Held H Rue, Scandinavian Journal of Statistics 2002 29 597 614
25. Fast sampling of Gaussian Markov random fields. H Rue, Journal of the Royal Statistical Society (B) 2001 63 325 338 (Pubitemid 33267689)
26. M Tanner, Tools for Statistical Inference New York: Springer 1996
27. Multiple Imputation for simple estimation of the Hazard function based on interval censored Data. JD Bebchuk RA Betensky, Statistics in Medicine 2000 19 405 419 10649305 (Pubitemid 30070613)
28. P Hougaard, Analysis of Multivariate Survival Data New York, Berlin, Heidelberg: Springer 2000
29. A Monte Carlo method for Bayesian inference in frailty models. D Clayton, Biometrics 1991 47 467 485 1912256
30. W Feller, An Introduction to Probability Theory and Its Applications New York: John Wiley and Sons 1971
31. Convergence Diagnosis for Gibbs Sampling Output. U Mansmann, Medical Infobahn for Europe IOC Press, Hasman A, Prokosch H, Blobel B, Dudeck J, Gell G, Engelbrecht R, 2000 83 87 (Pubitemid 33227587)
32. On Algorithms fo the Nonparametric Maximum Likelihood Estimator of the Failure Function With Censored Data. Y Zhang M Jamdhidian, Journal of Computational and Graphical Statistics 2004 13 123 140 (Pubitemid 38422437)
33. Cerebral Arteriovenous Malformations and Associated Aneurysms: Analysis of 305 Cases from a Series of 662 Patients. HJ Meisel U Mansmann H Alvarez G Rodesch M Brock P Lasjaunias, Neurosurgery 2000 46 793 802 10764251 (Pubitemid 30198783)
34. J Klein M Moeschberger, Survival analysis New York: Springer 2 2003
35. Influence of hospital volume on local recurrence and survival in a population sample of rectal cancer patients. J Engel J Kerr R Eckel B Günther M Heiss W Heitland J Siewert KW Jauch D Hölzel, European Journal of Surgical Oncology 2005 31 512 520 15878259 (Pubitemid 40731470)
36. A Bayesian analysis of multivariate doubly-interval-censored data. A Komarek E Lesaffre T Härkänen D Declerck J Virtanen, Biostatistics 2005 6 145 155 15618533 (Pubitemid 41240375)