ROBUSTNESS OF REALIABILITY PREDICTIONS FOR A SERIES SYSTEM OF IDENTICAL COMPONENTS.
CONNECTICUT UNIV STORRS DEPT OF STATISTICS
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The present research investigates the robustness of reliability prediction procedures based on the assumption of an exponential failure distribution. A system of n independent identical components in series is considered and a maximal region of robustness, in terms of the shape parameter of the Weibull failure distribution having mean identical to that of the assumed exponential distribution, is determined. This region of robustness has the property that within this region the use of the exponential assumption will produce a prediction error no larger than the specified level of robustness for the region. Regions are obtained for an unrestricted time period and a restricted time period in which the individual components have a minimum reliability rho rho .95, .99. Author
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems