Median test for multivariate and right censored data

Abstract

In this article, an extension of the median test procedure to multivariate and right censored data is considered. Because of the involvement of censoring distributions into the distribution of the proposed test statistic, the large sample approximation to obtain the limiting null distribution is considered. Then an example is shown and the models and re-sampling methods are briefly discussed. Finally, the asymptotic normality for the proposed test statistic is proved in the Appendix.

Keywords:

• Kaplan–Meier estimate
• Median test
• Multivariate and right censored data
• Two sample problem

Acknowledgement

The author wishes to express his sincere appreciation to the referees for their constructive and pinpointed advices and suggestions to improve the quality of this article.