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A detection analysis for temporal memory patterns at different time-scales

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  • Fabio Vanni
  • David Lambert

Abstract

This paper introduces a novel methodology that utilizes latency to unveil time-series dependence patterns. A customized statistical test detects memory dependence in event sequences by analyzing their inter-event time distributions. Synthetic experiments based on the renewal-aging property assess the impact of observer latency on the renewal property. Our test uncovers memory patterns across diverse time scales, emphasizing the event sequence's probability structure beyond correlations. The time series analysis produces a statistical test and graphical plots which helps to detect dependence patterns among events at different time-scales if any. Furthermore, the test evaluates the renewal assumption through aging experiments, offering valuable applications in time-series analysis within economics.

Suggested Citation

  • Fabio Vanni & David Lambert, 2023. "A detection analysis for temporal memory patterns at different time-scales," Papers 2309.12034, arXiv.org.
  • Handle: RePEc:arx:papers:2309.12034
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    File URL: http://arxiv.org/pdf/2309.12034
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    References listed on IDEAS

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    1. Alan Washburn, 1992. "Present Values with Renewals," Management Science, INFORMS, vol. 38(6), pages 846-850, June.
    2. Stindl, Tom & Chen, Feng, 2018. "Likelihood based inference for the multivariate renewal Hawkes process," Computational Statistics & Data Analysis, Elsevier, vol. 123(C), pages 131-145.
    3. Amitrajeet A. Batabyal, 2008. "Introduction To Dynamic And Stochastic Approaches To The Environment And Economic Development," World Scientific Book Chapters, in: Dynamic And Stochastic Approaches To The Environment And Economic Development, chapter 1, pages 1-38, World Scientific Publishing Co. Pte. Ltd..
    4. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871, January.
    5. Jensen, Mark J. & Liu, Ming, 2006. "Do long swings in the business cycle lead to strong persistence in output?," Journal of Monetary Economics, Elsevier, vol. 53(3), pages 597-611, April.
    6. Giacomo Bormetti & Lucio Maria Calcagnile & Michele Treccani & Fulvio Corsi & Stefano Marmi & Fabrizio Lillo, 2015. "Modelling systemic price cojumps with Hawkes factor models," Quantitative Finance, Taylor & Francis Journals, vol. 15(7), pages 1137-1156, July.
    7. Liu, Ming, 2000. "Modeling long memory in stock market volatility," Journal of Econometrics, Elsevier, vol. 99(1), pages 139-171, November.
    8. Leipus, Remigijus & Paulauskas, Vygantas & Surgailis, Donatas, 2005. "Renewal regime switching and stable limit laws," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 299-327.
    9. Ohanissian, Arek & Russell, Jeffrey R. & Tsay, Ruey S., 2008. "True or Spurious Long Memory? A New Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 161-175, April.
    10. Batabyal, Amitrajeet A. & Yoo, Seung Jick, 1994. "Renewal theory and natural resource regulatory policy under uncertainty," Economics Letters, Elsevier, vol. 46(3), pages 237-241, November.
    11. Khaldoun Khashanah & Jing Chen & Alan Hawkes, 2018. "A slightly depressing jump model: intraday volatility pattern simulation," Quantitative Finance, Taylor & Francis Journals, vol. 18(2), pages 213-224, February.
    12. Chipman, John S, 1977. "A Renewal Model of Economic Growth: The Continuous Case," Econometrica, Econometric Society, vol. 45(2), pages 295-316, March.
    13. Emmanuel Bacry & Iacopo Mastromatteo & Jean-Franc{c}ois Muzy, 2015. "Hawkes processes in finance," Papers 1502.04592, arXiv.org, revised May 2015.
    14. Amitrajeet A Batabyal, 2008. "Dynamic and Stochastic Approaches to the Environment and Economic Development," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6617, December.
    15. Alan G. Hawkes, 2018. "Hawkes processes and their applications to finance: a review," Quantitative Finance, Taylor & Francis Journals, vol. 18(2), pages 193-198, February.
    16. M. Schneider & F. Lillo & L. Pelizzon, 2018. "Modelling illiquidity spillovers with Hawkes processes: an application to the sovereign bond market," Quantitative Finance, Taylor & Francis Journals, vol. 18(2), pages 283-293, February.
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