Evidences in lifetimes of sequential r-out-of-n systems and optimal sample size determination for Burr XII populations
AbstractIn this paper, statistical evidences in lifetimes of sequential r-out-of-n systems, which are modelled by sequential order statistics (SOS), are studied. Weak and misleading evidences in SOS for hypotheses about the population parameter are derived in explicit expressions and their behaviours with respect to the model parameters are investigated in details. Optimal sample sizes given a minimum desired level for the decisive and the correct probabilities are provided. It is shown that the optimal sample size does not depend on some model parameters.
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