Controlling the conditional false alarm rate for the MEWMA control chart

Effect of measurement errors on triple sampling X¯${{\bar{\bm X}}}$ chart

“…In line with the FAR studies in Margavio et al, 29 Does et al 30 , and Aytaçoğlu et al, 31 in this section, the FAR of the TS‐ME chart in the presence of ME is computed when the process is in‐control using simulations. A total of 50,000 simulation trials are considered and the number of times the TS‐ME chart signals at the 1st, 2nd, …, and 200th samples is computed.…”

Residual‐based CUSUM beta regression control chart for monitoring double‐bounded processes

“…Table 1 shows six scenarios of the parameter values with different characteristics considered in the numerical evaluation. In Scenarios 1 and 2, the mean is close to 0.1, with 𝜙 ∈ [20,54] in Scenario 1 and 𝜙 ∈ [55, 90] in Scenario 2. In Scenarios 3 and 4, we have 𝜙 ∈ [20,90] and 𝜙 ∈ [7,54], respectively, and the mean is centered on the standard unit interval.…”

“…In Scenarios 1 and 2, the mean is close to 0.1, with 𝜙 ∈ [20,54] in Scenario 1 and 𝜙 ∈ [55, 90] in Scenario 2. In Scenarios 3 and 4, we have 𝜙 ∈ [20,90] and 𝜙 ∈ [7,54], respectively, and the mean is centered on the standard unit interval. Finally, in Scenarios 5 and 6, the mean is close to 0.9 with 𝜙 ∈ [7,147] in Scenario 5 and 𝜙 ∈ [55, 659] in Scenario 6.…”

“…Some past works can be found in Refs., [7][8][9][10][11][12][13] while some recent developments are found in Refs. [14][15][16][17][18][19][20] Such charts quickly detect small shifts in the mean of a process and use cumulative information from the observations, thus being called memory-type control charts.…”

“…CUSUM and EWMA control charts have been studied by some authors over the years. Some past works can be found in Refs., 7–13 while some recent developments are found in Refs 14–20 . Such charts quickly detect small shifts in the mean of a process and use cumulative information from the observations, thus being called memory‐type control charts.…”