Asymptotics of likelihood ratio statistic for non-inferiority testing under exponential distribution with fixed censoring times

摘要

We discuss the problem of testing the non-inferiority of a new treatment compared with several standard ones in a survivalmodel where the underlying distribution is exponential and censoring times are fixed.We derive the asymptotic distribution of the likelihood ratio statistic for k-samples. We construct a testing procedure with asymptotic size α based on the likelihood ratio statistic.