Exponentially weighted moving average (EWMA) control charts based on the sample range of the logarithms of the data and an unbiased estimator are investigated. The average run length (ARL) of the proposed chart is determined by the estimator and the sample size. The EWMA schemes are ARL unbiased in that they detect shifts sooner than in-control ARL. The proposed charts are applied to the Weibull shape parameter of the strength distribution of a carbon fiber.
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