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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 …
Bayesian Semiparametric Generalizations Of Linear Models Using Polya Trees, Angela Schoergendorfer
Bayesian Semiparametric Generalizations Of Linear Models Using Polya Trees, Angela Schoergendorfer
University of Kentucky Doctoral Dissertations
In a Bayesian framework, prior distributions on a space of nonparametric continuous distributions may be defined using Polya trees. This dissertation addresses statistical problems for which the Polya tree idea can be utilized to provide efficient and practical methodological solutions.
One problem considered is the estimation of risks, odds ratios, or other similar measures that are derived by specifying a threshold for an observed continuous variable. It has been previously shown that fitting a linear model to the continuous outcome under the assumption of a logistic error distribution leads to more efficient odds ratio estimates. We will show that deviations …