The effect of parameters estimation on the performance of variables control charts under repetitive sampling

Vasileios Alevizakos, Kashinath Chatterjee, Christos Koukouvinos and Angeliki Lappa

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 7, 2379-2401

Abstract: The repetitive sampling scheme is utilized in control charts to enhance their detection ability in process shifts. Their performance is usually evaluated under the assumption that the process parameters are known. In this article, we investigate the performance of the X¯ and S2 charts under repetitive sampling when the process parameters are estimated from a preliminary in-control (Phase I) sample. We also present the exact expressions of the average run-length (ARL), standard deviation of run-length (SDRL) and average sample number (ASN) measures. A numerical analysis demonstrates that the effect of parameters estimation is significant when the Phase I sample and the sample size are small.

Date: 2023
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DOI: 10.1080/03610926.2021.1952269

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