Estimation of the reliability function using the delay-time models |
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| Authors: | A.F. Attia |
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| Affiliation: | The Institute of Statistical Studies and Research, Department of Mathematical Statistical, Cairo University, Orman, Giza, Egypt |
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| Abstract: | The reliability model developed by Christer is used in which the notion of delay-time is involved, which is the span of time from when a defect is first detected upon inspection to when it is considered to have failed. In this paper, a new simplified formula for the reliability function is obtained, in which the delay time and the time to failure densities are exponential distributions. The MLE of the reliability function are also obtained. A numerical procedure is used to solve the results for the new model. |
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