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Nội dung tìm hiểu về Survival Analysis
Nội dung tìm hiểu về Survival Analysis
Preliminary Concept
The Proportional Hazards Model:
Characteristics of the Semiparametric Model, Partial Likelihood for Data with and Without Ties, Building Multivariable Semiparametric Models, Hazard and Survival Function Estimation in Semiparametric Models, the Stratified Semiparametric Model
Diagnostics for the Cox Model:
Residuals for the Semiparametric Proportional Hazards Model, Checking the Proportional Hazards Assumption, Looking for Outliers, Tracking Down Influential Observations.
Multivariate Survival Analysis
Parametric Proportional Hazards Models with Gamma Frailty:
Introduction, Estimation for the Gamma Frailty Model
Maximizing the Marginal Likelihood:
The Frequentist Approach, Extension of the Marginal Likelihood Approach to Interval-Censored Data
Posterior Densities:
The Bayesian Approach, the Metropolis Algorithm in Practice for the Parametric Gamma Frailty Model, Theoretical Foundations of the Metropolis Algorithm.
Marginal Model for Multivariate Survival
The Fixed Effects Model, the Stratified Model, the Copula Model, the Conditional, Joint, and Population Survival Functions, the Clayton Copula, the Clayton Copula versus the Gamma Frailty Model.
The Marginal Model, Consistency of Parameter Estimates from Marginal Model, Variance of Parameter Estimates Adjusted for Correlation Structure, Population Hazards from Conditional Models, Population versus Conditional Hazard from Frailty Models, Population versus Conditional Hazard Ratio from Frailty Models.
Tài liệu
Tài liệu
Sách
Hanagal, D. D. (2011). Modeling survival data using frailty models. Boca Raton: Chapman & Hall/CRC.
Lee, E. T., & Wang, J. (2003). Statistical methods for survival data analysis (Vol. 476). John Wiley & Sons.
Therneau TM and Grambsch PM (2000). Modeling Survival Data: Extending the Cox Model, Springer.
Hougaard P (2000). Analysis of Multivariate Survival Data. Springer.
Kalbfleisch, J. D., & Prentice, R. L. (2011). The statistical analysis of failure time data. John Wiley & Sons.
Klein, J. P., & Moeschberger, M. L. (2006). Survival analysis: techniques for censored and truncated data. Springer Science & Business Media.
Lawless, J. F. (2011). Statistical models and methods for lifetime data. John Wiley & Sons.
Cox, D. R. (2018). Analysis of survival data. Chapman and Hall/CRC.
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