Proceedings of the 2nd International Conference on Engineering Management and Information Science, EMIS 2023, February 24-26, 2023, Chengdu, China

Research Article

A two-stage monitoring scheme for high-dimensional Poisson data

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  • @INPROCEEDINGS{10.4108/eai.24-2-2023.2330695,
        author={Huantong  Na and Xuemin  Zi},
        title={A two-stage monitoring scheme for high-dimensional Poisson data},
        proceedings={Proceedings of the 2nd International Conference on Engineering Management and Information Science, EMIS 2023, February 24-26, 2023, Chengdu, China},
        publisher={EAI},
        proceedings_a={EMIS},
        year={2023},
        month={6},
        keywords={high-dimensional poisson data cusum control chart arl fdr},
        doi={10.4108/eai.24-2-2023.2330695}
    }
    
  • Huantong Na
    Xuemin Zi
    Year: 2023
    A two-stage monitoring scheme for high-dimensional Poisson data
    EMIS
    EAI
    DOI: 10.4108/eai.24-2-2023.2330695
Huantong Na1,*, Xuemin Zi1
  • 1: Tianjin University of Technology and Education
*Contact email: 1812473526@qq.com

Abstract

In the field of industrial quality control, when monitoring continuous data is mainly considered, it is also necessary to monitor discrete data, among which high-dimensional Poisson distribution data is very common in modern manufacturing. At present, a large number of the literature proposed to use of statistical process technology to monitor high-dimensional data, but the scheme for monitoring high-dimensional Poisson data in the existing literature is rare, and the few proposed methods for high-dimensional Poisson data to monitor the false discovery rate (FDR) of data were given, which is popular statistic for constructing the control chart. In order to effectively monitor the high-dimensional Poisson data, this paper extended the methodology of (Li, 2018) proposes a two-stage monitoring algorithm, which uses the CUSUM control chart to control the in-control (IC) average run length (ARL) in the first stage, and uses pointwise FDR to control the Type-I error rate in the second stage. In this paper, numerical simulation is used to realize the monitoring process and the performance demonstrates the efficiency and robustness of the proposed procedure.