Parametric inference using combined weighted log-rank estimators for regression with survival data

In this paper, we will look at combining asymptotically normal tests. It is desirable to combine these candidate tests when several are availal)le that have nice properties such as efficiency and robustness. After looking at individual weight functions that perform well for Yang's regression estimator, we determine the combined function for these individual functions. Simulations are constructed that test for empirical coverage probabilities and empirical mean lengths. Analyzing these results allows us to determine if the combined test is beneficial in the study of survival analysis.