Multivariate control median test for right censored data

Abstract

In this paper, we propose a control median test for the multivariate and right censored data. In order to simplify our arguments, we initially deal with bivariate data. Because of the involvement of the censoring distribution function into the null covariance matrix in some complicated way, we consider the large sample approximation. Finally, we mention briefly an extension to multivariate data.

Keywords:

• Bahadur representation
• Cramer-Wold device
• Kaplan-Meier estimate
• Sample quantile
• Subdistribution function