Nonparametric Testing for More DMRL Ordering

Marwa KH. Hassan ； Shaaban E. Abu-Youssef ； Mostafa M. Mohie El-Din

《Research Journal of Mathematics and Statistics》 6卷2期 (2014/05) Pp. 23-29

並列摘要

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.

並列關鍵字

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