CoxproportionaleHazardsModellierung
The Cox proportional hazards model, introduced by Sir David Cox in 1972, is a semiparametric model used in survival analysis to relate time-to-event data to covariates. It models the hazard function, the instantaneous risk of the event at time t, given covariates.
The model specifies h(t|X) = h0(t) exp(beta^T X), where h0(t) is the baseline hazard and X is a
Key assumption is proportional hazards: the hazard ratio between any two individuals with covariate vectors X
Interpretation: exp(beta_j) is the hazard ratio associated with a one-unit increase in covariate j, holding other
Extensions and variants include stratified Cox models, time-dependent effects, frailty models, competing risks, and joint models.
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