Title
Exponentially weighted moving average chart with a likelihood ratio test for monitoring autocorrelated processes
Abstract
In this article, an exponential weighted moving average chart based on a likelihood ratio test is developed to monitor the mean and variance shifts simultaneously for autocorrelated processes. A simple method is used to transform the positively autocorrelated data to the negatively autocorrelated data. The average run length of the proposed chart is derived from a simulation approach. The performance of our proposed chart is compared with some existing charts. The results show that the proposed chart provides better performance for detecting a wide range of shifts in the process mean and variance simultaneously. Additionally, the economic performance of different charts under the first-order autoregressive model is provided. A real example of a stepper motor in the heating, ventilation, and air conditioning module is used to demonstrate the application of the proposed method.
Year
DOI
Venue
2020
10.1002/qre.2602
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Keywords
Field
DocType
autocorrelated process,EWMA,likelihood ratio test,simulation approach
Econometrics,Likelihood-ratio test,Exponentially weighted moving average,EWMA chart,Chart,Engineering,Statistics,Autocorrelation
Journal
Volume
Issue
ISSN
36.0
2.0
0748-8017
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Fu-Kwun Wang19422.41
Xiao‐Bin Cheng200.34