Weibull‐Exponential Distribution and Its Application in Monitoring Industrial Process

M Bilal, M Mohsin, M Aslam - Mathematical Problems in …, 2021 - Wiley Online Library
This paper presents a new Weibull family of distributions. The compatibility of the newly
developed class is justified through its application in the field of quality control using Weibull …

[PDF][PDF] Exact run length computation on EWMA control chart for stationary moving average process with exogenous variables

W Suriyakat, K Petcharat - Mathematics and Statistics, 2022 - researchgate.net
The exponentially weighted moving average (EWMA) control chart is a popular tool used to
monitor and identify slight unnatural variations in the manufacturing, industrial, and service …

[PDF][PDF] Trend Autoregressive Model Exact Run Length Evaluation on a Two-Sided Extended EWMA Chart.

K Karoon, Y Areepong… - Comput. Syst. Sci. Eng …, 2023 - cdn.techscience.cn
EWMA) control chart is one of the control charts and can be used to quickly detect a small
shift. The performance of control charts can be evaluated with the average run length (ARL) …

[PDF][PDF] Explicit formulas of average run length for a moving average control chart for monitoring the number of defective products

Y Areepong - International Journal of Pure and Applied …, 2012 - researchgate.net
The objective of this paper is to study Statistical Process Control (SPC) with a Moving
Average control chart (MA). The main characteristics of a control chart are the Average Run …

[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 …

Run length distribution for a modified EWMA scheme fitted with a stationary AR (p) model

P Phanthuna, Y Areepong… - … in Statistics-Simulation …, 2023 - Taylor & Francis
A modified exponentially weighted moving average (EWMA) scheme is a quality control
chart which can quickly detect small shifts in autocorrelated data. In this article, an explicit …

[PDF][PDF] Exact average run length evaluation for an ARMAX (p, q, r) process running on a modified EWMA control chart

K Silpakob, Y Areepong, S Sukparungsee… - … International Journal of …, 2023 - iaeng.org
In this study, we apply the Fredholm-type integral equation method to derive the explicit
formulas of the average run length (ARL) for an autoregressive moving average process …

Optimal design and analysis of the exponentially weighted moving average chart for exponential data

AS Polunchenko, G Sokolov… - arXiv preprint arXiv …, 2013 - arxiv.org
We study optimal design of the Exponentially Weighted Moving Average (EWMA) chart by a
proper choice of the smoothing factor and the initial value (headstart) of the decision statistic …

[PDF][PDF] Explicit analytical solutions for the average run length of modified EWMA control chart for ARX (p, r) processes.

K Silpakob, Y Areepong, S Sukparungsee… - … Journal of Science & …, 2021 - researchgate.net
Statistical process control (SPC) plays a necessary role in manufacturing industry
processes. An essential tool for SPC used for monitoring, measuring, controlling, and …

Evaluating the Performance of Modified EWMA Control Schemes for Serially Correlated Observations

R Sunthornwat, Y Areepong… - Thailand …, 2024 - ph02.tci-thaijo.org
In this study, we propose the explicit formula of the average run length (ARL) for the
autoregressive process with a quadratic trend on the modified exponentially weighted …