Software for semiparametric shared gamma and log-normal frailty models: An overview

Computer Methods and Programs in Biomedicine

Volumn 107, Issue 3, 2012, Pages 582-597

  Hirsch, Katharina ^a   Wienke, Andreas ^a  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

Frailty models; Mixed models; Software; Survival analysis

Indexed keywords

COX MODEL; FINAL STATE; FRAILTY MODELS; LOG-NORMAL; MIXED MODELS; POTENTIAL RISKS; PROPORTIONAL HAZARDS MODEL; SEMIPARAMETRIC; SHARED FRAILTY MODEL; SIMULATION STUDIES; SPECIFIC PROBLEMS; SURVIVAL ANALYSIS; SURVIVAL DATA; UNOBSERVED HETEROGENEITY;

COMPUTER APPLICATIONS; COMPUTER SOFTWARE; SOFTWARE ENGINEERING;

BIOINFORMATICS;

ARTICLE; COMPUTER PROGRAM; FRAILTY MODEL; MODEL; PROPORTIONAL HAZARDS MODEL; RISK ASSESSMENT; RISK FACTOR; SURVIVAL;

ALGORITHMS; CLUSTER ANALYSIS; COMPUTER SIMULATION; HUMANS; MEDICAL INFORMATICS; MODELS, THEORETICAL; PROPORTIONAL HAZARDS MODELS; REPRODUCIBILITY OF RESULTS; RISK FACTORS; SOFTWARE; SURVIVAL ANALYSIS;

EID: 84863880564     PISSN: 01692607     EISSN: 18727565     Source Type: Journal    
DOI: 10.1016/j.cmpb.2011.05.004     Document Type: Article

References (24)

1. Duchateau L., Janssen P. The Frailty Model 2008, Springer, New York.
2. Cox D. Regression models and life tables. Journal of the Royal Statistical Society (B) 1972, 34:187-202.
3. Clayton D. A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika 1978, 65:141-151.
4. Hougaard P. Analysis of Multivariate Survival Data 2000, Springer, New York.
5. Vaupel J., Manton K., Stallard E. The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 1979, 16:439-454.
6. Therneau T.M., Grambsch P.M. Modeling Survival Data: Extending the Cox Model 2000, Springer, New York.
7. Aalen O., Borgan O., Gjessing H. Survival and Event History Analysis: A Process Point of View 2008, Springer, New York.
8. Wienke A. Frailty Models in Survival Analysis 2010, Chapman & Hall/CRC, Boca Raton.
9. Hanagal D. Modeling Survival Data using Frailty Models 2011, Chapman & Hall/CRC, Boca Raton.
10. Abbring J., Van Den Berg G. The unobserved heterogeneity distribution in duration analysis. Biometrika 2007, 94:87-99.
11. Hutchinson T., Lai C. The Engineering Statistician's Guide to Continuous Bivariate Distributions 1991, Rumsby, Adelaide.
12. Rondeau V., Gonzalez J. frailtypack: a computer program for the analysis of correlated failure time data using penalized likelihood estimation. Computer Methods and Programs in Biomedicine 2005, 80:154-164.
13. V. Rondeau, Y. Mazroui, J. Gonzalez, FRAILTYPACK: an R package for the analysis of correlated survival data with frailty models using penalized likelihood estimation, Journal of Statistical Software, in press.
14. Rondeau V. Statistical models for recurrent events and death: application to cancer events. Mathematical and Computer Modelling 2010, 52:949-955.
15. Vaida F., Xu R. Proportional hazards model with random effects. Statistics in Medicine 2000, 19:3309-3324.
16. Vu H.T.V., Knuiman M.W. A hybrid ML-EM algorithm for calculation of maximum likelihood estimates in semiparametric shared frailty models. Computational Statistics & Data Analysis 2002, 40:173-187.
17. Henschel V., Engel J., Hölzel D., Mansmann U. A semiparametric Bayesian proportional hazards model for interval censored data with frailty effects. BMC Medical Research Methodology 2009, 9(1):9. ISSN 1471-2288, doi:10.1186/1471-2288-9-9, URL http://www.biomedcentral.com/1471-2288/9/9.
18. Klein J.P. Semiparametric estimation of random effects using the Cox model based on the EM algorithm. Biometrics 1992, 48:795-806.
19. Shu Y., Klein J.P. A SAS macro for the positive stable frailty model. American Statistical Association Proceedings of the Statistical Computing Section 1999, 47-52.
20. Lunn D., Thomas A., Best N., Spiegelhalter D. WinBUGS-A Bayesian Modelling Framework: Concepts, Structure, and Extensibility. Statistics and Computing 2000, 10:325-337.
21. Nielsen G.G, Gill R.D., Andersen P.K., Sørensen T.I. A counting process approach to maximum likelihood estimation in frailty models. Scandinavian Journal of Statistics 1992, 19:25-43.
22. Petersen L., Sørensen T., Nielsen G., Andersen P. Inference methods for correlated left truncated lifetimes: parent and offspring relations in an adoption study. Lifetime Data Analysis 2006, 12:5-20.
23. Liu L., Huang X. The use of Gaussian quadrature for estimation in frailty proportional hazards models. Statistics in Medicine 2008, 27:2665-2683.
24. Liu L., Yu Z. A likelihood reformulation method in non-normal random effects models. Statistics in Medicine 2008, 27:3105-3124.