A0382
Title: Testing dominance of survival functions in the presence of right censored data
Authors: Felix Belzunce - Universidad de Murcia (Spain) [presenting]
Carolina Martinez-Riquelme - University of Murcia (Spain)
Jaime Valenciano - Universidad de Murcia (Spain)
Abstract: A new statistical test is presented to assess the dominance of survival functions in the presence of right-censored data. Traditional methods, such as the log-rank test, are inadequate for determining whether one survival function consistently dominates another, especially when survival curves cross. The proposed test is based on the supremum of the difference between Kaplan-Meier estimators and allows for distinguishing between dominance and crossing survival curves. The test's asymptotic properties are presented, along with simulations and applications to real data sets. The results demonstrate that the test has a high sensitivity for detecting crossings and dominance compared to conventional methods. This work has been funded by Agencia Estatal de Investigacion (AEI) del Ministerio de Ciencia e Innovacion and cofunded by Fondo Europeo de Desarrollo Regional (FEDER), project Comparaciones Estocasticas Bajo Estructuras de Dependencia con Aplicaciones a Fiabilidad y Finanzas. Teoria e Inferencia (PID2022-137396NB-I00).
