Maximum Likelihood Estimation from Renewal Testing
ARMY MATERIEL SYSTEMS ANALYSIS ACTIVITY ABERDEEN PROVING GROUND MD
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The report considers the maximum likelihood estimates of life-time distributions over an interval O,T from the following time truncated experiment. At time zero, the beginning of the testing n1 or n infinity items are put on test. When an item fails it is replaced and at time T all testing is stopped. Assumptions about the form of the life-time distribution on O,T are required. Distributions considered are A single parameter class which includes the Weibull family A multiple parameter class with increasing failure rate on O,T and A nonparametric class which includes the increasing failure rate family. Useful and desirable properties of the maximum likelihood estimates are shown.
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems