Inference on system reliability for independent series components. (English) Zbl 1159.62066
Summary: We study inferences for reliability functions of a system having two components connected in series. Suppose that the lifetime of one component has a lognormal distribution. Lognormal, exponential, and Weibull distributions are considered for the lifetime of the other component. Using a generalized inference approach, we obtain confidence intervals of our interested parameters with good coverage. Some frequentist properties in small-sample cases and large-sample cases are proved.
MSC:
| 62N05 | Reliability and life testing |
| 62F25 | Parametric tolerance and confidence regions |
| 62N03 | Testing in survival analysis and censored data |
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