Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Recently, monitoring the process mean and variance simultaneously by using a single chart has drawn more and more attention. ,  propose a new single chart that integrates the EWMA procedure with the generalized likelihood ratio (GLR) test statistics for jointly monitoring both the process mean and variance. It can be easily designed and constructed, and its average run length can be evaluated by a two-dimensional Markov chain model. Owing to the good properties of the GLR test and EMWA, computation results show that it provides quite a robust and satisfactory performance in various cases, including the detection of the decrease in variability and the individual observation at the sampling point, which are very important in many practical applications but may not be ll handled by the existing approaches in the literature. The application of our proposed method is illustrated by a real data example from chemical process control. Copyright © 2009 John Wiley & Sons, Ltd.
['Jiujun Zhang', 'Changliang Zou', 'Zhaojun Wang']
I am writing a research paper on a idea A control chart based on likelihood ratio test for monitoring process mean and variability
[{"from": "human", "value": "I am writing a research paper on a idea A control chart based on likelihood ratio test for monitoring process mean and variability"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Recently, monitoring the process mean and variance simultaneously by using a single chart has drawn more and more attention. ,  propose a new single chart that integrates the EWMA procedure with the generalized likelihood ratio (GLR) test statistics for jointly monitoring both the process mean and variance. It can be easily designed and constructed, and its average run length can be evaluated by a two-dimensional Markov chain model. Owing to the good properties of the GLR test and EMWA, computation results show that it provides quite a robust and satisfactory performance in various cases, including the detection of the decrease in variability and the individual observation at the sampling point, which are very important in many practical applications but may not be ll handled by the existing approaches in the literature. The application of our proposed method is illustrated by a real data example from chemical process control. Copyright \u00a9 2009 John Wiley & Sons, Ltd."}]