Suppose that there are p = 4 quality characteristics, and in correlation form all four variables have variance unity and all pairwise correlation coefficients are 0.75. The in-control value of the process mean vector is μ′ = [0, 0, 0, 0], and we want to design an MEWMA control chart to provide good protection against a shift to a new mean vector of y′ = [1, 1, 1, 1]. If an in-control ARL0 of 200 is satisfactory, what value of λ and what upper control limit should be used? Approximately, what is the ARL1 for detecting the shift in the mean vector?
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