“…The vector i Y is a multivariate normal distribution When the process is in-control, Besides, and the q-dimensional observation with the mean vector, 0 μ , and covariance matrix, ∑ , the density function is given by (1) In any case the Mahalanobis distance of 1 μ from 0 μ is always unchanged and the shifted mean vector is 1 μ , the Mahalanob is distance is given by…”