Hazard-Ratio Likelihood for In-Hospital Death

Empirical likelihood for cumulative hazard ratio estimation with covariate adjustment.

In medical studies, it is often of scientific interest to evaluate the treatment effect via the ratio of cumulative hazards, especially when those hazards may be nonproportional. To deal with nonproportionality in the Cox regression model, investigators usually assume that the treatment effect has some functional form. However, to do so may create a model misspecification problem because it is ...

Empirical Likelihood Ratio in Terms of Cumulative Hazard Function for Censored Data

It has been shown that (with complete data) empirical likelihood ratios can be used to form con dence intervals and test hypothesis about a linear functional of the distribution function just like the parametric case. We study here the empirical likelihood ratios for right censored data and with parameters that are linear functionals of the cumulative hazard function. Martingale techniques make...

Likelihood Ratio Tests for

Hazard ratio in clinical trials.

Time-to-event curves analyzed by Cox proportional hazards regression are commonly used to describe the outcome of drug studies. This methodology has the advantage of using all available information, including patients who fail to complete the trial, such as in cancer chemotherapy or human immunodeficiency virus antiviral treatment studies. The goal of treatment in such studies may be to prevent...

Local Likelihood and Local Partial Likelihood in Hazard Regression