Proceedings of the 2nd International Conference on Mathematical Statistics and Economic Analysis, MSEA 2023, May 26–28, 2023, Nanjing, China

Research Article

Application of Self-normalized Method in Long-memory Multi-Means Change-Point Test

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  • @INPROCEEDINGS{10.4108/eai.26-5-2023.2334401,
        author={Liu  Yi},
        title={Application of Self-normalized Method in Long-memory Multi-Means Change-Point Test},
        proceedings={Proceedings of the 2nd International Conference on Mathematical Statistics and Economic Analysis, MSEA 2023, May 26--28, 2023, Nanjing, China},
        publisher={EAI},
        proceedings_a={MSEA},
        year={2023},
        month={7},
        keywords={long memory time series change points self-normalized},
        doi={10.4108/eai.26-5-2023.2334401}
    }
    
  • Liu Yi
    Year: 2023
    Application of Self-normalized Method in Long-memory Multi-Means Change-Point Test
    MSEA
    EAI
    DOI: 10.4108/eai.26-5-2023.2334401
Liu Yi1,*
  • 1: Xi'an University of Science and Technology
*Contact email: Wuoshiwzm@hotmail.com

Abstract

In this paper, we have developed a novel attempt to be sensitive to multiple means of long-memory time series in an unsupervised manner using our own legitimate method. Self-regular, can avoid estimating the gradual variance variance and use the regular method at the same time. The method can be conveniently and conveniently applied to the first-order stationary data with long memory (stationary with long memory) dependency), no change points, statistics are collected and summarized in non-exit distribution. We describe this statistic and evaluate its effects. At the same time, the feasibility of the method is illustrated by real data.