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A1235
Title: On independence testing in the presence of cure data Authors:  Marija Cuparic - University of Belgrade (Serbia) [presenting]
Bojana Milosevic - University of Belgrade (Serbia)
Abstract: The focus is on the problem of testing independence between two randomly right-censored variables in the presence of cure data, modeled through an additive mixture framework with a cured fraction. Several classes of test statistics are proposed, inspired by Kendall's tau and its extensions. Their asymptotic properties are derived, and their finite-sample performance is thoroughly investigated. Robustness to different censoring models is also explored. In addition, a potential generalization that can be used in more dimensional settings is presented. A comprehensive simulation study demonstrates the strong competitiveness of the proposed procedures.