Time-to-event endpoints show an increasing popularity in phase II cancer trials. The standard statistical tool for such one-armed survival trials is the one-sample log-rank test. Its distributional properties are commonly derived large sample limit. It however known from literature, that asymptotical approximations suffer when size small. There have already been several attempts to address this...

In this paper, we consider admixture models which are two-component mixture distributions having one known component. This is the case when a gold standard reference component well known, and population contains such plus another with different features. When two populations drawn from models, propose penalized χ2-type testing procedure allowing pairwise comparison of unknown components, i.e. t...