Ciencias Exactas y Ciencias de la Salud

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A comparison of cautious learning procedures in statistical process monitoring
(Instituto Tecnológico y de Estudios Superiores de Monterrey, 2023) Ibarra Tovar, Alain; Víctor Gustavo, Tercero Gómez; emimmayorquin; Cordero Franco, Álvaro Eduardo; School of Engineering and Sciences; Campus Monterrey; Garza Venegas, Jorge Arturo
Statistical process control relies heavily on control charts to gather insights of operational processes and assess their performance. The construction of effective control charts rest on accurate estimations of its parameters, mean and variance when observations are normal. This is a challenge often encountered in real-world applications, and parameters have to be estimated. Various authors have proposed solutions to this challenge by augmenting control limits to ensure a minimum level of performance. Nonetheless, increasing control limits diminish the power of a chart to detect changes. Addressing this trade-off, cautious learning procedures have been introduced to mitigate the impact of imprecise parameter estimates. Cautious Learning is a method which seeks to use the data of the process itself with the objective of increasing the precision of the estimates, making use of certain criteria to select useful information, these criteria vary according to the author. Several authors have presented their proposal, each has its advantages and limitations. This research systematically assesses the effectiveness of such learning procedures when applied to control charts for location, specifically those following CUSUM approaches.

Ciencias Exactas y Ciencias de la Salud

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