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Revista Colombiana de Estadística
Print version ISSN 0120-1751
Rev.Colomb.Estad. vol.43 no.1 Bogotá Jan./June 2020 Epub June 05, 2020
https://doi.org/10.15446/rce.v43n1.78748
ARTÍCULOS ORIGINALES DE INVESTIGACIÓN
Spatial MCUSUM Control Chart
Carta de control MCUSUM espacial
a Departamento de Estadística, Facultad de Ciencias, Universidad Nacional de Colombia, Bogotá, Colombia. Statistician. E-mail: judrojasgo@unal.edu.co.
b Departamento de Estadística, Facultad de Ciencias, Universidad Nacional de Colombia, Bogotá, Colombia. PhD. E-mail: rdguevarag@unal.edu.co
This paper proposes a spatial multivariate CUSUM control chart in order to monitor the mean of a single characteristic of a product or process, when the measurements are taken in different locations on each sampled item. To estimate the variance and covariance matrix some tools from the geostatistics are used, taking into account the spatial correlation between the measurements. The performance of this control chart is explored by simulation and its use is illustrated with an example.
Key words: Mutivariate control charts; Multivariate CUSUM; Spatial correlation; Semivariogram
Este documento propone una carta de control CUSUM multivariada espacial para monitorear la media de una sola característica de un producto o proceso, cuando las mediciones se toman en diferentes ubicaciones en cada elemento muestreado. Para estimar la matriz de varianza y covarianza, se utilizan algunas herramientas de la geoestadística, teniendo en cuenta la correlación espacial entre las mediciones. El desempeño de esta carta de control se explora por simulación y su uso se ilustra con un ejemplo.
Palabras clave: Cartas de control multivariadas; CUSUM multivariada; Correlación espacial; Semivariograma
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