Abstract
In this paper, a semi-parametric generalization of the Cox model that permits crossing hazard curves is described. A theoretical framework for estimation in this model is developed based on penalized likelihood methods. It is shown that the optimal solution to the baseline hazard, baseline cumulative hazard and their ratio are hyperbolic splines with knots at the distinct failure times.
Original language | English |
---|---|
Pages (from-to) | 1703-1710 |
Number of pages | 8 |
Journal | Statistics and Probability Letters |
Volume | 83 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2013 |
Keywords
- Censored survival data analysis
- Crossing hazards
- Penalized likelihood
- Proportional hazards
- Spline