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In conclusion, the report said the chief constable should reiterate his support and guidance for officers, widen future reviews to include more feedback from victims, and simplify the internal audit system which monitors statistics, while increasing staffing levels.
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Trends were monitored, statistics compiled.
"Perceptions are often different from scientific monitoring statistics," Mr. Du said.
Furthermore, variable contributions to monitoring statistics are also derived by calculating the derivative of the monitoring statistics with respect to the variables.
Two monitoring statistics used in multiscale KPCA-based process monitoring are used for fault detection.
All possible fault deviations that may contribute to the out-of-control monitoring statistics are collected.
Three monitoring statistics are considered for the detection of the onset of process abnormalities in the batch process.
One is composed of the concerned fault deviations that contribute to alarming monitoring statistics which are thus significant to remove the out-of-control signals.
The other is composed of general variations that are deemed to follow normal rules and thus insignificant to remove alarming monitoring statistics.
Using the gradient of kernel function, we define two new statistics which represent the contribution of each variable to the monitoring statistics, Hotelling's T2and squared prediction error (SPE) of kernel PCA, respectively.
In order to avoid the assumption of specific data distribution, local outlier factor (LOF) is introduced to construct two LOF-based monitoring statistics, which are used to substitute for the traditional T2 and SPE statistics, respectively.
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