Sequential Analysis of the Proportional Hazards Model

摘要

For the proportional hazards model of survival analysis, an appropriate large sample theory is developed for cases of staggered entry and sequential analysis. The principal techniques involve an approximation of the score process by a suitable martingale and a random rescaling of time based on the observed Fisher information. As a result we show that the maximum partial likelihood estimator behaves asymptotically like Brownian motion. (Author)