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Analysis of time series using a new entropy plane based on past entropy

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  • Qin, Guyue
  • Shang, Pengjian

Abstract

Complexity is an important feature of complex time series. This paper proposes a new entropy plane using past Tsallis entropy and past Re´nyi entropy by weighted permutation pattern (PTEWP and PREWP), to quantify the complexity of time series. Through simulated data and actual data, we have verified the effectiveness of the entropy plane method. The results show that the new entropy plane can be used as an effective tool to distinguish financial markets.

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  • Qin, Guyue & Shang, Pengjian, 2021. "Analysis of time series using a new entropy plane based on past entropy," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921008316
    DOI: 10.1016/j.chaos.2021.111477
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    References listed on IDEAS

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    Cited by:

    1. Li, Sange & Shang, Pengjian, 2022. "A new complexity measure: Modified discrete generalized past entropy based on grain exponent," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Wang, Fang & Wang, Lin & Chen, Yuming, 2022. "Multi-affine visible height correlation analysis for revealing rich structures of fractal time series," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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