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JOINT MODELS FOR NONLINEAR LONGITUDINAL AND TIME-TO-EVENT DATA USING PENALISED SPLINES

  • HUONG THI THU PHAM (a1)
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Thesis submitted to Flinders University in July 2017; degree approved on 6 April 2018; principal supervisor Darfiana Nur; co-supervisors Alan Branford and Murk Bottema.

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[1] Andersen, P. K., Borgan, O., Gill, R. D. and Keiding, N., Statistical Models Based on Counting Processes (Springer, New York, 1993).
[2] Cox, D. R., ‘Regression models and life-tables’, J. R. Stat. Soc. Ser. B Stat. Methodol. 34(2) (1972), 187220.
[3] Cox, D. R., ‘Partial likelihood’, Biometrika 62(2) (1975), 269276.
[4] Cox, D. R. and Hinkley, D. V., Theoretical Statistics (Chapman and Hall/CRC Press, New York, 1979).
[5] Cox, D. and Oakes, D., Analysis of Survival Data (Chapman and Hall, London, 1984).
[6] Ding, J. and Wang, J., ‘Modeling longitudinal data with nonparametric multiplicative random effects jointly with survival data’, Biometrics 64(2) (2008), 546556.
[7] Gould, A., Boye, M. E., Crowther, M. J., Ibrahim, J. G., Quartey, G., Micallef, S. and Bois, F. Y., ‘Joint modeling of survival and longitudinal non-survival data: current methods and issues. Report of the DIA Bayesian joint modeling working group’, Stat. Med. 34(14) (2014), 21812195.
[8] Ibrahim, J. G., Chen, M. and Sinha, D., Bayesian Survival Analysis, Wiley Online Library (John Wiley, Hoboken, NJ, 2005).
[9] Kalbfleisch, J. and Prentice, R., The Statistical Analysis of Failure Time Data, 2nd edn (Wiley, New York, 2002).
[10] Rizopoulos, D., ‘Fast fitting of joint models for longitudinal and event time data using a pseudo-adaptive Gaussian quadrature rule’, Comput. Statist. Data Anal. 56 (2011), 491501.
[11] Rizopoulos, D., Joint Models for Longitudinal and Time-to-Event Data with Applications in R (Chapman and Hall/CRC Press, New York, 2012).
[12] Sweeting, M. J. and Thompson, S. G., ‘Joint modelling of longitudinal and time to event data with application to predicting abdominal aortic aneurysm growth and rupture’, Biom. J. 53(5) (2011), 750763.
[13] Tsiatis, A. A. and Davidian, M., ‘A semiparametric estimator for the proportional hazards model with longitudinal covariates measured with error’, Biometrika 88(2) (2001), 447458.
[14] Tsiatis, A. A. and Davidian, M., ‘Joint modeling of longitudinal and time-to-event data: an overview’, Statist. Sinica 14 (2004), 809834.
[15] Tsiatis, A. A., Degruttola, V. and Wulfsohn, M. S., ‘Modeling the relationship of survival to longitudinal data measured with error. Applications to survival and CD4 counts in patients with AIDS’, J. Amer. Statist. Assoc. 90(429) (1995), 2737.
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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