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     Research Journal of Mathematics and Statistics

    Abstract
2014(Vol.6, Issue:2)
Article Information:

Nonparametric Testing for More DMRL Ordering

Marwa KH. Hassan, Shaaban E. Abu-Youssef and Mostafa M. Mohie El-Din
Corresponding Author:  Marwa KH. Hassan 
Submitted: January 01, 2014
Accepted: February 10, 2014
Published: May 25, 2014
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.

Key words:  Asymptotic normality, empirical power, empirical size, kernel function, more DMRL, ,
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Cite this Reference:
Marwa KH. Hassan, Shaaban E. Abu-Youssef and Mostafa M. Mohie El-Din , . Nonparametric Testing for More DMRL Ordering. Research Journal of Mathematics and Statistics, (2): 23-29.
ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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