Statistical inference of the achieved MTBF for Weibull process
Hong Liu
Abstract
Hong Liu
Abstract
Point and interval estimations of the achieved system MTBF,which are given by some literatures during the resrarch of Weibull process,are conservative.For the failure and time truncated tests,the estimations,which are very close approximation to the true values of the achieved system MTBF,are derived in this paper.Based upon the observed test data,the prediction estimations of the achieved system MTBF at some future time are given by using Gompertz MTBF growth model.
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Point and interval estimations of the achieved system MTBF,which are given by some literatures during the resrarch of Weibull process,are conservative.For the failure and time truncated tests,the estimations,which are very close approximation to the true values of the achieved system MTBF,are derived in this paper.Based upon the observed test data,the prediction estimations of the achieved system MTBF at some future time are given by using Gompertz MTBF growth model.
Key concepts: Mean time between failures, Weibull distribution, Interval (graph theory), Gompertz function, Reliability engineering, Statistics, Inference, Failure rate