A distribution-free control chart for joint monitoring of location and scale in finite horizon productions

Arturo Javier Diaz Pulido (), Alvaro Eduardo Cordero Franco () and Víctor Gustavo Tercero Gómez ()
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Arturo Javier Diaz Pulido: Universidad Autonoma de Nuevo Leon
Alvaro Eduardo Cordero Franco: Universidad Autonoma de Nuevo Leon
Víctor Gustavo Tercero Gómez: Tecnologico de Monterrey

Computational Statistics, 2025, vol. 40, issue 6, No 2, 2857-2875

Abstract: Abstract We propose a distribution-free Shewhart-type control chart for jointly monitoring location and scale in a finite horizon production, commonly presented in manufacturing environments characterized by high flexibility, production variety, and a limited number of scheduled inspections. The Lepage-type statistic used in this research combines the Wilcoxon rank sums and Mood statistics with control limits obtained through Monte Carlo simulation to achieve a guaranteed in-control performance considering the practitioner-to-practitioner variation across their reference samples. We performed an extensive Monte-Carlo simulation to evaluate the performance of the proposed chart over several scenarios. The in-control results show the benefits of using the guaranteed limits compared with the unconditional version of the proposed control chart. In most scenarios, the out-of-control experimentation presents a better performance of the proposed control chart than the chart using the classical Lepage statistic with the Ansary–Bradley statistic instead of the Mood statistic. We present a real example to show practitioners the implementation of the proposed control chart.

Keywords: Lepage-type; Conditional performance; Finite horizon productions; Quality control (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00180-023-01361-5

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