International Journal of Reliability and Applications
- Volume 13 Issue 1
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- Pages.49-56
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- 2012
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
Testing of EBELC classes of life distributions based on TTT-transform
- Abu-Youssef, S.E. (Department of Mathematics, Faculty of Science, Al-Azhar University) ;
- Mohie El-Din, M.M. (Department of Mathematics, Faculty of Science, Al-Azhar University) ;
- Hassan, M.Kh. (Department of Mathematics, Faculty of Education, Ain Shams University)
- Published : 2012.06.30
Abstract
Using total time on test transform (TTT), a new approach is taken for testing exponentiality versus the unknown age, exponential better than equilibrium life in convex ordering (EBELC). Selected critical values are tabulated for sample size n =2(2)50 and powers of the test are estimated for some commonly used distributions in reliability. Finally real example is presented to illustrate the theoretical results.