Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters
[EN] Quality control charts are widely used to monitor production processes. To fix the control limits, the distribution of the statistic being controlled must be known. For using (X) over bar and S control charts together, when the parameters are unknown, the mean and standard deviation of the proc...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/213925 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/213925 |
| Access Level: | acceso abierto |
| Palabra clave: | X-bar S control charts Estimated parameters Estimation effect Conditional performance Phase I ESTADISTICA E INVESTIGACION OPERATIVA |
| Sumario: | [EN] Quality control charts are widely used to monitor production processes. To fix the control limits, the distribution of the statistic being controlled must be known. For using (X) over bar and S control charts together, when the parameters are unknown, the mean and standard deviation of the process must be estimated. Errors in these estimates can cause the real performance of the joint (X) over bar - S charts to be different from that expected by the user, and the in-control and out-of-control ARL may therefore be very different from the theoretical values. To date, only the effect of the estimation errors on the in-control performance of the joint (X) over bar - S charts has been studied in the literature. In this article, we study jointly this effect on both performance measures, the in-control and out-of-control ARLs for joint (X) over bar - S charts, and estimate the number of samples needed in Phase I to guarantee a required level in the probability of obtaining joint (X) over bar - S charts with acceptable in-control and out-of-control performances. |
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