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TESTS FOR DETECTING MORE NBU‐NESS AT A SPECIFIC AGE
Author(s) -
Lim JaeHak,
Kim DaeKyung,
Park Dong Ho
Publication year - 2005
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/j.1467-842x.2005.00398.x
Subject(s) - mathematics , asymptotic distribution , statistical hypothesis testing , parametric statistics , statistic , class (philosophy) , test statistic , null hypothesis , normality , statistics , asymptotic analysis
Summary This paper proposes a class of non‐parametric test procedures for testing the null hypothesis that two distributions, F and G , are equal versus the alternative hypothesis that F is ‘more NBU (new better than used) at specified age t 0 ’ than G. Using Hoeffding's two‐sample U‐statistic theorem, it establishes the asymptotic normality of the test statistics and produces a class of asymptotically distribution‐free tests. Pitman asymptotic efficacies of the proposed tests are calculated with respect to the location and shape parameters. A numerical example is provided for illustrative purposes.