Abstract

A test proposed for testing the null hypothesis that two life distributions are equal against the alternative that one is more Decreasing Mean Residual Life (DMRL) ordering. The asymptotic normality of the proposed test statistic was also established. The empirical size and empirical power of the proposed test are simulated for some specific families of distributions like beta and Weibull that are ordered with respect to more DMRL order. Finally, we apply our test to some real data sets.

Keywords:

Asymptotic normality, empirical power, empirical size, kernel function, more DMRL,

References

Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.