Advances and Applications in Statistics
Volume 4, Issue 1, Pages 97 - 108
(April 2004)
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TESTING THE EQUALITY OF NBU-NESS AT A SPECIFIED AGE
Jae-Hak Lim (Korea), Dae-Kyoung Kim (Korea) and Dong Ho Park (Korea)
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Abstract: A life distribution F is new better than used at a
specified age
if for all
In this paper, we propose a nonparametric test procedure for testing the null
hypothesis that
two distributions, F and G, are equal against the alternative
hypothesis that
F is ‘more NBU at specified age ’
than is G. Since the proposed test statistic is a U-statistic,
we utilize
two-sample U-statistic theory to establish the asymptotic normality of
our test statistic. We compute the empirical test size and also discuss the
Pitman asymptotic efficacies for the location and shape parameters. An example
is given for the illustration purpose. |
Keywords and phrases: NBU, NBU-t0, U-statistic, relative efficacy, empirical test size. |
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