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Full-Text Articles in Physical Sciences and Mathematics
Parametric Estimation In Competing Risks And Multi-State Models, Yushun Lin
Parametric Estimation In Competing Risks And Multi-State Models, Yushun Lin
Theses and Dissertations--Statistics
The typical research of Alzheimer's disease includes a series of cognitive states. Multi-state models are often used to describe the history of disease evolvement. Competing risks models are a sub-category of multi-state models with one starting state and several absorbing states.
Analyses for competing risks data in medical papers frequently assume independent risks and evaluate covariate effects on these events by modeling distinct proportional hazards regression models for each event. Jeong and Fine (2007) proposed a parametric proportional sub-distribution hazard (SH) model for cumulative incidence functions (CIF) without assumptions about the dependence among the risks. We modified their model to …
Stochastic Dynamics Of Gene Transcription, Yan Xie
Stochastic Dynamics Of Gene Transcription, Yan Xie
Theses and Dissertations--Statistics
Gene transcription in individual living cells is inevitably a stochastic and dynamic process. Little is known about how cells and organisms learn to balance the fidelity of transcriptional control and the stochasticity of transcription dynamics. In an effort to elucidate the contribution of environmental signals to this intricate balance, a Three State Model was recently proposed, and the transcription system was assumed to transit among three different functional states randomly.
In this work, we employ this model to demonstrate how the stochastic dynamics of gene transcription can be characterized by the three transition parameters. We compute the probability distribution of …