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Assume that 3-dimensional production process has the IC distribution N3(0,0), where 0=(0,0,0) and 0=1.00.80.50.81.00.80.50.81.0. Let us consider the following three scenarios: (i) The process has
Assume that 3-dimensional production process has the IC distribution N3(0,0), where 0=(0,0,0) and 0=1.00.80.50.81.00.80.50.81.0. Let us consider the following three scenarios: (i) The process has a mean shift only at the 11 th time point from 0 to 1=(1,0,0). (ii) The process has a covariance matrix shift only at the 11 th time point from 0 to 1=1.10 at the 11 th time point. (iii) The process has a mean shift from 0 to 1=(1,0,0) and a covariance matrix shift from 0 to 1=1.10 at the 11 th time point. In each scenario, please generate 30 observations of the process from the related distribution and apply multivariate SPC methods to detect process changes in each scenario. Assume that 3-dimensional production process has the IC distribution N3(0,0), where 0=(0,0,0) and 0=1.00.80.50.81.00.80.50.81.0. Let us consider the following three scenarios: (i) The process has a mean shift only at the 11 th time point from 0 to 1=(1,0,0). (ii) The process has a covariance matrix shift only at the 11 th time point from 0 to 1=1.10 at the 11 th time point. (iii) The process has a mean shift from 0 to 1=(1,0,0) and a covariance matrix shift from 0 to 1=1.10 at the 11 th time point. In each scenario, please generate 30 observations of the process from the related distribution and apply multivariate SPC methods to detect process changes in each scenario
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