A variable sampling interval run sum chart for the coefficient of variation. (English) Zbl 07602436
Summary: This paper proposes a variable sampling interval (VSI) run sum chart for the coefficient of variation \(\gamma\), where the sampling interval is varied according to the current cumulative scores. Formulae to evaluate various performance measures for the proposed chart are derived, and algorithms to optimize the performance of the proposed chart using these measures are developed. These algorithms are then implemented on several numerical examples. Comparisons show that varying the sampling interval improves the performance of the run sum \(\gamma\) chart. Furthermore, the VSI run sum \(\gamma\) chart outperforms several existing charts in the literature. Implementation based on an illustrative example shows that the VSI run sum \(\gamma\) chart reduces the time needed to detect an out-of-control signal compared with its fixed sampling interval (FSI) counterpart.
MSC:
| 62-XX | Statistics |
Keywords:
average time to signal; control charts; coefficient of variation; run sum; variable sampling intervalReferences:
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