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A monotonicity property of weighted log-rank tests

Methodology 2020-08-04 v1 Statistics Theory Statistics Theory

Abstract

The logrank test is a well-known nonparametric test which is often used to compare the survival distributions of two samples including right censored observations, it is also known as the Mantel-Haenszel test. The GρG^{\rho} family of tests, introduced by Harrington and Fleming (1982), generalizes the logrank test by using weights assigned to observations. In this paper, we present a monotonicity property for the GρG^{\rho} family of tests, which was motivated by the need to derive bounds for the test statistic in case of imprecise data observations.

Keywords

Cite

@article{arxiv.2008.00848,
  title  = {A monotonicity property of weighted log-rank tests},
  author = {Tahani Coolen-Maturi and Frank P. A. Coolen},
  journal= {arXiv preprint arXiv:2008.00848},
  year   = {2020}
}