Recent Research on Classes of Life Distributions Useful in Maintenance Modelling.
Interim technical rept.,
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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Several physically motivated broad classes of life distributions have been introduced recently and shown to be natural and useful in the study of maintenance policies, such as age replacement, block replacement, and replacement at failure only. These classes include the new better than used class, the new better than used in expectation class, and their duals. Recent papers studying these classes are surveyed, and results are summarized concerning the following a replacement policy comparisons, b models giving rise to these classes, c preservation of classes under standard reliability operations, d bounds on reliability and mean life for both individual components and systems, and e statistical inference for these classes. Additional classes of life distributions such as the decreasing mean residual life class, the decreasing percentile residual life class, and their duals are briefly discussed. Inclusion relationships among all of these classes and reliability classes studied earlier are exhibited. Modified author abstract
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems