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The exponentiated exponentially weighted moving average control chart.
- Source :
- Statistical Papers; Aug2024, Vol. 65 Issue 6, p3853-3891, 39p
- Publication Year :
- 2024
-
Abstract
- Memory-type control charts are widely used for monitoring small to moderate shifts in the process parameter(s). In the present article, we present an exponentiated exponentially weighted moving average (Exp-EWMA) control chart that weights the past observations of a process using an exponentiated function. We evaluated the run-length characteristics of the Exp-EWMA chart via Monte Carlo simulations. A comparison study versus the CUSUM, EWMA and extended EWMA (EEWMA) charts under similar in-control (IC) run-length properties demonstrates that the Exp-EWMA chart is more effective for detecting small and, under certain circumstances, moderate shifts for both the zero-state and steady-state cases. Moreover, the Exp-EWMA chart has better zero-state out-of-control (OOC) performance than an EWMA chart with smoothing parameter equal to the limit to the infinity of the exponentiated function, while the two charts perform similarly for the steady-state case. Finally, it is shown that the Exp-EWMA chart is more IC robust than its competitors under several non-normal distributions. Two examples are provided to explain the implementation of the proposed chart [ABSTRACT FROM AUTHOR]
- Subjects :
- QUALITY control charts
CUSUM technique
MOVING average process
MONTE Carlo method
Subjects
Details
- Language :
- English
- ISSN :
- 09325026
- Volume :
- 65
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Statistical Papers
- Publication Type :
- Academic Journal
- Accession number :
- 178208763
- Full Text :
- https://doi.org/10.1007/s00362-024-01544-2