A New Process of Estimating Parameter in Reliability Growth Experiment
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Graphical Abstract
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Abstract
Based on the good utility of experimental data of various period in reliability growth experiment to evaluate reliability index in the present case according to the sampling data from binary and exponential life experiment, a new sample space sequencing (i.e. lexicographic order) is given to provide a point estimator and confidence lower bound of the reliability of current period. From theory and instances, it has been proved that this procedure, which overcomes some shortcomings concernedoby Huang 4, is uniformly better than the classical approach. The conculsions of Theorem 2.4 and 3.4 not only include practical background of reliable growth experiment, but also improve greatly the practicable operation on this new process.
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