The Cox model estimates the hazard ratio for each predictor variable. The hazard function, which represents the instantaneous rate of occurrence of the event at a particular time, is modeled as:
h(t|X) = h0(t) * exp(β1X1 + β2X2 + ... + βpXp)
Here, h(t|X) is the hazard function given covariates X, h0(t) is the baseline hazard function, and β1, β2, ..., βp are the coefficients for the predictor variables.
