A Testing for New Renewal Better than Used Class of Survival Functions | ||||
| The Egyptian Statistical Journal | ||||
| Article 8, Volume 44, Issue 1, June 2000, Page 91-98 PDF (3.02 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.2000.313825 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| M. I. Hendi* | ||||
| Dep.of Statistics and Operations Research, King Saud University, Saudi Arabia | ||||
| Abstract | ||||
| A U-statistic is derived for testing exponentiality against new renewal better (worse) than used. For this class of life distributions, a nonparametric procedure (U-statistic) is presented in this investigation. Selected critical values are tabulated for sample size n = 5(1)39. The Pitman asymptotic efficiency relative to tests of other classes such as "decreasing mean residual life and new better than used in expectation" are discussed. Our procedure is simple to implement and is asymptotically normal both under the null hypothesis and alternative hypothesis with good efficiency against other procedures for some commonly used alternatives. | ||||
| Keywords | ||||
| Efficiency; Exponentiality - Asymptotic Normality - U-Test - Class of Life Distributions - Pitman Asymptotic Efficiency | ||||
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