Research Article

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

Figure 11

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 distribution. Option 2 uses the quantile function in R. Option 3 is density estimation as discussed in Section 3.6.1. This is the same as Figure 10, but for a distribution rather than a normal distribution.
705878.fig.0011a
(a)   Estimate the 0.95 quantile
705878.fig.0011b
(b) Estimate the 0.99 quantile
705878.fig.0011c
(c) Estimate the 0.995 quantile
705878.fig.0011d
(d) Estimate the 0.999 quantile