Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2023, Vol. 40 ›› Issue (2): 251-264.doi: 10.3969/j.issn.1005-3085.2023.02.006

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Multiple Change-point Estimation in the Mean and Variance of Panel Data Model

XU Xiaoping,  LIU Jun,  YANG Qiannan,  LI Fuxiao   

  1. School of Science, Xi'an University of Technology, Xi'an 710054
  • Received:2020-12-06 Accepted:2022-09-27 Online:2023-04-15 Published:2023-06-20
  • Contact: F. Li. E-mail address: fx_lmzq@163.com
  • Supported by:
    The National Natural Science Foundation of China (11801438); the Natural Science Basic Research Plan in Shaanxi Province (2023-JC-YB-058); the Innovation Capability Support Program of Shaanxi Province (2020PT-023).

Abstract:

Change-point problem in panel data is an important topic in finance and econometric. A multiple change-point estimation procedure based on the shape-based BS algorithm is extended to panel data, multiple change-point estimation in the mean and variance of panel data model is studied. The number and location of the change-points are also obtained, and the consistency of the change point estimators is proved. Monte Carlo simulation shows that the shape-based BS algorithm outperforms the BS algorithm in estimating both types of change points. Finally, this method is applied to different weekly index data of the stock market, which shows the effectiveness of the algorithm.

Key words: panel data, multiple change-point estimation, BS algorithm, local shape recognition

CLC Number: