International Journal of Reliability and Applications
- Volume 4 Issue 3
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- Pages.113-129
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- 2003
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
Moment Inequalities for Testing New Renewal Better Than Used and Renewal New Better Than Used Classes of Life Distributions
- Mahmoud, M.A.W. (Mathematics Department, Faculty of Science Al-Azhar University) ;
- El-Arishy, S.M. (Math. Department, Faculty of Science, AL-Azhar University) ;
- Diab, L.S. (Math. Department, Faculty of Science, AL-Azhar University)
- Published : 2003.09.01
Abstract
Based on moments inequalities new testing procedures are derived for testing exponentiality against new renewal better than used (NRBU) and renewal new better than used (RNBU). These classes play an important role in formulating repair or replacement policies. The asymptotic Pitman efficiency of (NRBU) and (RNBU) testes are studied. Selected critical values are tabulated for sample sizes n=5(1) 50. The power estimates for some commonly used life distributions in reliability are also calculated. Some set of real data is used as an example to elucidate the use of the proposed test statistic for practical reliability analysis. The problem in case of right-censored data is also handled.
Keywords
- moments inequalities;
- new renewal better than used (NRBU);
- renewal new better than used (RNBU);
- U-test;
- reliability;
- life testing;
- exponential distribution;
- hypothesis testing;
- monte carlo methods