An Adaptive EWMA Control Chart Based on Principal Component Method to Monitor Process Mean Vector

نویسندگان

چکیده

The special causes of variations, which is also known as a shift, can occur in single or more than one related process characteristics. Statistical control tools such charts are useful to monitor shifts the parameters (location and/or dispersion). In real-life situation, shift emerging different sizes, and it hard identify with classical charts. Moreover, characteristics required attention because they must jointly due association among them. This study offers two adaptive sizes mean vector. novelty behind this use dimensionally reduction techniques principal component analysis (PCA) an method Huber Bi-square functions. brief, multivariate cumulative sum chart based on PCA designed, its plotting statistic utilized input exponentially weighted moving average (EWMA) chart. run length (RL) properties proposed other obtained by designing algorithms MATLAB through Monte Carlo simulation. For performance assessed RL, standard deviation error RL. Likewise, overall measures extra quadratic loss, relative ARL, comparison index used. reveals superiority over Furthermore, emphasize application benefits charts, example wind turbine included.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10122025