Coxmodell
CoxModell, commonly known as the Cox proportional hazards model, is a semi-parametric method used in survival analysis to relate the time to an event to covariates. It does not require a specific distribution for survival times and focuses on the hazard function, the instantaneous risk of the event at time t given survival up to t.
In the CoxModell, the hazard for an individual with covariates X is h(t|X) = h0(t) exp(beta^T X), where
Key assumptions include proportional hazards, meaning the effect of covariates on the hazard is multiplicative and
Extensions of the CoxModell include incorporating time-varying covariates, stratified Cox models to handle differing baseline hazards
Applications of the CoxModell span medicine, epidemiology, and reliability analysis, where researchers compare survival or time-to-event