Goodness of Fit Approach for Testing Exponential Better than Used in Convex for Life Distributions | ||||
| The Egyptian Statistical Journal | ||||
| Article 7, Volume 48, Issue 2, December 2004, Page 167-175 PDF (4.88 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.2004.313773 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| M. I. Hendi* ; N. AL-Ghufily* | ||||
| Dep.of Mathematics, Girls College of Education for Scientific Departments, Saudi Arabia | ||||
| Abstract | ||||
| Test statistic is derived for testing exponentiality against exponential better (worse) than used in convex EBUC (EWUC). Selected critical values are tabulated for sample size n=5(1)25(5) 50. The power calculations of the test are simulated for some commonly used distributions in reliability. The Pitman asymptotic relative efficiency based on other classes are studied. An example of 40 patients of blood cancer disease demonstrates the practical application of the proposed test in medical sciences. | ||||
| Keywords | ||||
| Asymptotic Normality - Asymptotic Efficiency Critical Values - Life Distribution Classes - Convex Ordering; EBUC; EWUC - Power of the Test - Product Limit Estimator - Goodness of Fit Test | ||||
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