Research Article

Estimating Alarm Thresholds for Process Monitoring Data under Different Assumptions about the Data Generating Mechanism

Figure 10

RMSE versus sample size assuming a normal distribution for three estimation options labeled 1–3. The true RMSEs were estimated by simulation of 104 observations in R, and results are repeatable to within . Option 1 correctly assumes a normal distribution. Option 2 uses the quantile function in R. Option 3 is density estimation as discussed in Section 3.6.1.
705878.fig.0010a
(a)   Estimate the 0.95 quantile
705878.fig.0010b
(b) Estimate the 0.99 quantile
705878.fig.0010c
(c) Estimate the 0.995 quantile
705878.fig.0010d
(d) Estimate the 0.999 quantile