Economic-statistical design of adaptive arma control chart for autocorrelated data

To the best of our knowledge, no literary contribution addressed the design of adaptive ARMA control charts with autocorrelated data, so far. This paper aims to provide an original research contribution to the statistically constrained economic design of ARMA control charts with variable sampling in...

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Published inJournal of statistical computation and simulation Vol. 91; no. 3; pp. 623 - 647
Main Authors Costa, A., Fichera, S.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 11.02.2021
Taylor & Francis Ltd
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ISSN0094-9655
1563-5163
DOI10.1080/00949655.2020.1825716

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Abstract To the best of our knowledge, no literary contribution addressed the design of adaptive ARMA control charts with autocorrelated data, so far. This paper aims to provide an original research contribution to the statistically constrained economic design of ARMA control charts with variable sampling interval (VSI). Due to the autocorrelation of data, a simulation approach has been used to compute the objective function, which consists of the well-known Lorenzen and Vance cost function subject to a constraint on the minimum ARL0. The main novelty is attributable to the simulation-based charting process as well as to an improved self-adaptive differential evolution for minimizing the charting cost. Subsequently, the proposed algorithm was employed to statistically demonstrate the outperformance of the VSI approach over the standard one with fixed charting parameters. Finally, a comprehensive sensitivity analysis was carried out with the aim of detecting the most influencing factors under economical and statistical viewpoints.
AbstractList To the best of our knowledge, no literary contribution addressed the design of adaptive ARMA control charts with autocorrelated data, so far. This paper aims to provide an original research contribution to the statistically constrained economic design of ARMA control charts with variable sampling interval (VSI). Due to the autocorrelation of data, a simulation approach has been used to compute the objective function, which consists of the well-known Lorenzen and Vance cost function subject to a constraint on the minimum ARL0. The main novelty is attributable to the simulation-based charting process as well as to an improved self-adaptive differential evolution for minimizing the charting cost. Subsequently, the proposed algorithm was employed to statistically demonstrate the outperformance of the VSI approach over the standard one with fixed charting parameters. Finally, a comprehensive sensitivity analysis was carried out with the aim of detecting the most influencing factors under economical and statistical viewpoints.
Author Costa, A.
Fichera, S.
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Snippet To the best of our knowledge, no literary contribution addressed the design of adaptive ARMA control charts with autocorrelated data, so far. This paper aims...
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SubjectTerms Adaptive control
Algorithms
Auto-regressive
Autocorrelation
Constraints
control chart
Control charts
Cost function
Economics
evolutionary algorithms
Evolutionary computation
moving-average
Parameter sensitivity
Sensitivity analysis
simulation
Title Economic-statistical design of adaptive arma control chart for autocorrelated data
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