Kaplan EL, Meier P. Nonparametric estimation from incomplete observations. J Am Stat Assoc. 1958;53(282):457–81.
Cox D. Regression models and life tables. J Royal Stat Soc Series B (Methodological). 1972;34(2):187–220.
Cox DR, Miller HD. The theory of stochastic processes. Wiley publications in statistics. New York,: Wiley; 1965.
Andersen PK, Borgan O, Gill RD, Keiding N. Statistical models based on counting processes. Springer Science & Business Media; 2012. This seminal book establishes the underlying mathematical theory for non-parametric estimation and semi-parametric models of time-to-event data based on martigale process.
Cook RJ, Lawless JF. Multistate models for the analysis of life history data. Chapman and Hall/CRC; 2018.
R Development Core Team. R: a language and environment for statistical computing. Vienna, Austria: R Foundationo for Statistical Comoputing; 2010.
StataCorp. Stata Statistical Software: Release 17. College Station, TX: StataCorp LLC; 2021.
Hougaard P. Analysis of multivariate survival data. Statistics for biology and health. New York: Springer; 2000.
Allen AM, Therneau TM, Larson JJ, Coward A, Somers VK, Kamath PS. Nonalcoholic fatty liver disease incidence and impact on metabolic burden and death: a 20 year-community study. Hepatology. 2018;67(5):1726–36. https://doi.org/10.1002/hep.29546.
Aalen OO, Johansen S. Empirical transition matrix for nonhomogeneous Markov-Chains Based on censored observations. Scand J Stat. 1978;5(3):141–50.
Therneau TM. A Package for Survival Analysis in S. 2.38 ed2015.
Therneau TM, Grambsch PM. Modeling survival data : extending the Cox model. Statistics for biology and health. New York: Springer; 2000. This book introduces extensions of the Cox model to more complex data. It is a useful reference on survival analysis, filled with practical guidance, implementation in S-Plus or SAS, and contains some examples of multistate models.
Le-Rademacher JG, Peterson RA, Therneau TM, Sanford BL, Stone RM, Mandrekar SJ. Application of multi-state models in cancer clinical trials. Clin Trials. 2018;15(5):489–98. https://doi.org/10.1177/1740774518789098.
Stone RM, Mandrekar SJ, Sanford BL, Laumann K, Geyer S, Bloomfield CD, et al. Midostaurin plus chemotherapy for acute myeloid leukemia with a FLT3 mutation. N Engl J Med. 2017;377(5):454–64. https://doi.org/10.1056/NEJMoa1614359.
Jack CR Jr, Therneau TM, Lundt ES, Wiste HJ, Mielke MM, Knopman DS, et al. Long-term associations between amyloid positron emission tomography, sex, apolipoprotein E and incident dementia and mortality among individuals without dementia: hazard ratios and absolute risk. Brain Commun. 2022;4(2):fcac017. https://doi.org/10.1093/braincomms/fcac017.
Fine JP, Gray RJ. A proportional hazards model for the subdistribution of a competing risk. J Am Stat Assoc. 1999;94(446):496–509.
Andersen PK, Keiding N. Interpretability and importance of functionals in competing risks and multistate models. Stat Med. 2012;31(11–12):1074–88. https://doi.org/10.1002/sim.4385. This article provides an overview of survival analysis, competing risks, and illness-death models under the multistate model framework. The authors cautioned that although some functions of the transition hazards can be in these models mathematically correct, their interpretations and applicability may not be meaningful.
Beyersmann J, Allignol A, Schumacher M. Competing risks and multistate models with R. Springer Science & Business Media; 2011. This book gives a gentle introduction to the mathematics of multistate models and how it extends the usual survival analysis in the first part of the book. It draws connections between multistate models and competing risks model. The remainder of the book goes through a small set of examples, using a variety of R packages for data analysis.
Geskus RB. Data analysis with competing risks and intermediate states. Chapman and Hall/CRC; 2019. This is one of the most recent books on multistate model with an emphasis competing risks data. This book focuses more on the interpretation and application of multistate model and competing risks data using the R programming language.
Hernan MA. The hazards of hazard ratios. Epidemiology. 2010;21(1):13–5. https://doi.org/10.1097/EDE.0b013e3181c1ea43.
Aalen OO, Cook RJ, Roysland K. Does Cox analysis of a randomized survival study yield a causal treatment effect? Lifetime Data Anal. 2015;21(4):579–93. https://doi.org/10.1007/s10985-015-9335-y.