M. Vidal-García, R. M. Crujeiras, W. González-Manteiga
When constructing goodness-of-fit tests, a well-established nonparametric approach is to use some kind of distance between distributions. The choice of a specific weighted L2 distance leads to a particular measure closely connected with energy distance. Due to its interesting properties, a wide variety of energy distance-based tests have been proposed such as test of independence, test for comparing populations or goodness-of-fit test.
In Survival Analysis there are usually restrictions when observing the variable of interest (survival times) in a sample, so collected data will combine complete and partial observations. A particularly popular scenario is that of random right censoring. Previously mentioned energy distance-based test of independence has already been adapted to this context.
In this talk, we will present a new energy distance-based goodness-of-fit test for right censored data. The performance of the test will be illustrated via simulations and real data application.
Keywords: energy distance, goodness-of-fit, randomly right censored data, survival analysis
Scheduled
GT09.NOPAR4 Invited session.Nonparametric tests
November 9, 2023 3:30 PM
CC1: Audience