Description
Dynamic Modelling of Time-to-Event Processes covers an alternative dynamic modelling approach for studying time-to-event processes. This innovative approach covers some key elements, including the Development of continuous-time state of dynamic time-to-event processes, an Introduction of an idea of discrete-time dynamic intervention processes, Treating a time-to-event process operating/functioning under multiple time-scales formulation of continuous and discrete-time interconnected dynamic system as hybrid dynamic time-to-event process, Utilizing Euler-type discretized schemes, developing theoretical dynamic algorithms, and more.Additional elements of this process include an Introduction of conceptual and computational state and parameter estimation procedures, Developing multistage a robust mean square suboptimal criterion for state and parameter estimation, and Extending the idea conceptual computational simulation process and applying real datasets.- Presents a dynamic approach which does not require a closed-form survival/reliability distribution- Provides updates that are independent of existing Maximum likelihood, Bayesian, and Nonparametric methods- Applies to nonlinear and non-stationary interconnected large-scale dynamic systems- Includes frailty and other models in survival analysis as case studies
Table of Contents
1. Some Latent Dynamic Structural Elements in Time-to-Event Processes2. Linear Deterministic Hybrid Dynamic Modeling of Time-to-event Processes (LDHDM)3. Conceptual Computational and Simulation Algorithms - LDHDM4. Nonlinear Deterministic Interconnected Hybrid Dynamic Modeling for Time-to-Event Processes - INHDMTTEP5. Conceptual Computational and Simulation Algorithms for INHDMTTEP6. Stochastic Hybrid Dynamic Modeling for Time-to-event Processes - SIHDMTTEP7. Conceptual Computational and Simulation Algorithms for SIHDMTTEP8. Application to Time-to-Event Datasets9. Statistical Comparative Analysis with Existing Methods10. Case Studies
