Comparing Survival Frameworks: Cox, Piecewise Exponential, and mgcv-Poisson2 months ago
Motivation | Key references | Notation | Cox: the partial-likelihood contribution | Piecewise exponential: the Poisson-trick contribution | Profiling out $\alpha_k$ recovers Cox | mgcv-Poisson (PAMM): the same contribution, a penalized $\alpha_k$ | Side-by-side comparison | Design weights: why the effect on β differs from the effect on marginal means | The marginal case: weighted mean as an intercept-only estimating equation | The conditional case: Binder's (1992) weighted partial likelihood | Why the numerator doesn't need weighting but the denominator does | A runnable numeric demonstration | Convergence of PEM toward Cox as $K \to \infty$ | Baseline cumulative hazard: three estimates, one true curve | Design weights: conditional robustness vs. marginal sensitivity | Discussion | Current limitations of this document | Session information
nhanesR 0.1.7David Winsemius survival-framework-comparison.Rmd