On testing the difference of the means of survival functions under competing risks

The authors discuss a testing problem for the difference in means of survival function between a treatment group and a control group under competing risks. They derive the asymptotic distributions of the MLE’s assuming that the underlying distribution is Weibull, and based on them, the authors obtain the asymptotic distributions of the test statistics. Then the test procedures obtained are applied to the analysis of experimental data on female mice irradiated with X-rays.