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Tests for structural breaks in memory parameters of long-memory heterogeneous autoregressive models

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  • Eunju Hwang
  • Dong Wan Shin

Abstract

Tests for structural breaks in the coefficients of the long-memory heterogeneous autoregressive (HAR) models are developed. The tests are based on the partial sum process of the normalized efficient score vector. The tests have the nice property of identifying the parameters of the daily, weekly, and monthly regressors in which breaks occur. Limiting null distributions of the proposed tests are proven to be derived from standard Brownian bridges. A finite sample Monte-Carlo experiment shows reasonable size and power properties of the proposed tests. The proposed method is illustrated by a real data analysis.

Suggested Citation

  • Eunju Hwang & Dong Wan Shin, 2018. "Tests for structural breaks in memory parameters of long-memory heterogeneous autoregressive models," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(21), pages 5378-5389, November.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:21:p:5378-5389
    DOI: 10.1080/03610926.2017.1408827
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    Cited by:

    1. Aikins Abakah, Emmanuel Joel & Gil-Alana, Luis A. & Tripathy, Trilochan, 2022. "Stochastic structure of metal prices: Evidence from fractional integration non-linearities and breaks," Resources Policy, Elsevier, vol. 78(C).
    2. Caporale, Guglielmo Maria & Gil-Alana, Luis A. & Poza, Carlos, 2020. "Persistence, non-linearities and structural breaks in European stock market indices," The Quarterly Review of Economics and Finance, Elsevier, vol. 77(C), pages 50-61.
    3. Kunal Saha & Vinodh Madhavan & Chandrashekhar G. R. & David McMillan, 2020. "Pitfalls in long memory research," Cogent Economics & Finance, Taylor & Francis Journals, vol. 8(1), pages 1733280-173, January.
    4. Cristofaro, Lorenzo & Gil-Alana, Luis A. & Chen, Zhongfei & Wanke, Peter, 2021. "Modelling stock market data in China: Crisis and Coronavirus," Finance Research Letters, Elsevier, vol. 41(C).
    5. Caporale, Guglielmo Maria & Gil-Alana, Luis A. & Poza, Carlos, 2020. "High and low prices and the range in the European stock markets: A long-memory approach," Research in International Business and Finance, Elsevier, vol. 52(C).
    6. Tan, Zhengxun & Xiao, Binuo & Huang, Yilong & Zhou, Li, 2021. "Value at risk and return in Chinese and the US stock markets: Double long memory and fractional cointegration," The North American Journal of Economics and Finance, Elsevier, vol. 56(C).

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