Motivation In many probabilistic and statistical models, the (regularized) incomplete beta function shows up in places where you do not expect it at first glance: CDFs of Beta and Student distributions, tail probabilities of binomial models, Bayesian posteriors, or parameterizations of the Student copula.
The Cox model is a standard and very well studied parametric model for censored time-to-event data, relying on very strict proportional hazard assumptions. It is one of the core tools of survival analysis and requires numerical estimation of its …
Relative survival methodology deals with a competing risks survival model where the cause of death is unknown. This lack of information occurs regularly in population-based cancer studies. Non-parametric estimation of the net survival is possible …
In many population-based medical studies, the specific cause of death is unidentified, unreliable or even unavailable. Relative survival analysis addresses this scenario, outside of standard (competing risks) survival analysis, to nevertheless …