[PDF][PDF] Explicit formulas and numerical integral equation of ARL for SARX (P, r) L model based on CUSUM chart

S Phanyaem - Mathematics and Statistics, 2022 - researchgate.net
Abstract The Cumulative Sum (CUSUM) chart is widely used and has many applications in
different fields such as finance, medical, engineering, and other fields. In real applications …

[PDF][PDF] Improving CUSUM control chart for monitoring a change in processes based on seasonal ARX model

C Chananet, S Phanyaem - IAENG International Journal of Applied …, 2022 - iaeng.org
The Cumulative Sum (CUSUM) control chart is a widely used statistical quality control tool,
especially in manufacturing processes. It serves to give an alarm when the process is out of …

[PDF][PDF] Exact Run Length Evaluation on Extended EWMA Control Chart for Seasonal Autoregressive Process.

K Karoon, Y Areepong… - Engineering …, 2022 - engineeringletters.com
Herein, we derive explicit formulas for the average run length (ARL) on an extended
exponentially weighted moving average (EWMA) chart running a seasonal autoregressive …

[PDF][PDF] Comparing the effectiveness of statistical control charts for monitoring a change in process mean

Y Supharakonsakun - Engineering Letters, 2021 - engineeringletters.com
The efficacy of control charts is usually evaluated by using the Average Run Length (ARL). A
popular method for evaluating the exact ARL on a modified Exponentially Weighted Moving …

Derivation of Explicit Formulae for Performance Measures of CUSUM Control Chart for SMA (Q) Model with Exponential White Noise

L Zhang, S Suraphee, P Busababodhin - Lobachevskii Journal of …, 2023 - Springer
Abstract A Cumulative Sum (CUSUM) chart can be a useful alternative to standard Shewhart
control charts for monitoring small shifts in a process, but its effectiveness is limited by the …

An integral equation approach for average run length of incorporation of exogenous variable in seasonal autoregressive fractionally integrated model

W Peerajit - AIP Conference Proceedings, 2024 - pubs.aip.org
Numerical evaluation of the average run length (ARL) for detecting a shift in the mean of an
autocorrelated process running on a cumulative sum (CUSUM) control chart has received …

[PDF][PDF] Average run length of CUSUM chart based on SARX (P, r) L model

S Phanyaem - Proceedings of The International MultiConference of …, 2021 - iaeng.org
The objectives of this research are to derive an explicit analytical formula and develop
numerical integration for evaluating the Average Run Length (ARL) of Cumulative Sum chart …