International Journal of Reliability and Applications
- Volume 10 Issue 2
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- Pages.81-88
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- 2009
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
Nonparametric Test for Used Better Than Aged in Convex Ordering Class(UBAC) of Life Distributions with Hypothesis Testing Applications
- Abu-Youssef, S.E. (Department of Statistics and O.R., King Saud University)
- Published : 2009.12.31
Abstract
A non-parametric procedure is presented for testing exponentially against used better than aged in convex ordering class (UBAC) of life distributions based on u-test. Convergence of the proposed statistic to the normal distribution is proved. Selected critical values are tabulated for sample sizes 5(5)40. The Pitman asymptotic relative efficiency of my proposed test to tests of other classes is studied. An example of 40 patients suffering from blood cancer disease demonstrates practical application of the proposed test.
Keywords
- U-Statistics;
- life distributions;
- aging properties;
- hypothesis testing;
- asymptotic normality;
- efficiency