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比例风险假设的一个简单检验AI 解读

A new test of the proportional hazards assumption for two-sample censored data is presented. The test is based on a comparison of different generalized rank estimators of the relative risk. Asymptotic normality and consistency against alternatives with monotone hazard ratio are shown and relationships to other proposals are pointed out. A related graphical method is presented and recommendations for the choice of appropriate weight functions are given. The strengths and…

乘积极限估计量在整条实线上的大样本性质AI 解读

Weak convergence results are proved for the product-limit estimator on the whole line. Applications are given to confidence band construction, estimation of mean lifetime, and to the theory of $q$-functions. The results are obtained using stochastic calculus and in probability linear bounds for empirical processes.