基于多重分形的新冠肺炎大流行期间捷克日内电力市场分析

IF 1.2 4区 工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fluctuation and Noise Letters Pub Date : 2023-02-23 DOI:10.1142/s021947752350030x
Juraj Curpek
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引用次数: 1

摘要

本文采用多重分形分析研究了新冠肺炎大流行期间捷克盘中电力市场成熟度的进展。我们的结果表明,由于日内电力收益显示出源自长程相关性和胖尾分布的多重分形特性,因此仅使用赫斯特指数是不够的,应该使用多重分形特性。描述多重分形行为的数量表明,在某些时期,与较大的时间尺度相比,在较短的时间尺度上运行的市场发展阶段更高,尤其是传销指数。在某些时期,他们与赫斯特方法非常一致(例如,2020年7月)。此外,ADL模型表明Hurst指数在短时间尺度上与其滞后值和新冠肺炎新病例呈正相关。在短时间尺度上,无论是从奇异谱宽度还是MLM指数来看,新冠肺炎新增病例率都与多重分形强度(即成熟度较小)呈正相关。我们发现,政府的严格政策与长时间尺度上的赫斯特指数、奇异谱宽度和短时间尺度下的传销指数之间存在非线性关系,表明宽松的抗疫政策与更成熟的市场相关,反之亦然。相反,与长期相对应的是,这种关系较弱,而且在迹象上相反。
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Analysis of the Czech intraday electricity market during Covid-19 pandemic from the multifractal perspective
This paper investigates a progress of the maturity of the Czech intraday electricity market during the COVID-19 pandemic by employing the multifractal analysis. Our results indicate that since intraday electricity returns display multifractal property originating both from long-range correlations and fat-tailed distribution, a sole use of the Hurst exponent is not sufficient, and multifractality characteristics should be used. The quantities describing a multifractal behavior indicate in some periods higher stage of market development operating on short temporal scales compared to the larger temporal scales, especially the MLM index. In some periods, they are in close agreement with the Hurst approach (e.g., July 2020). Moreover, the ADL models indicate a positive association of the Hurst exponent on short temporal scales with its lagged values and new cases of the COVID-19. On short temporal scales, the rate of new COVID-19 cases was positively related to the strength of multifractality, i.e., smaller degree of maturity, both by singularity spectrum width and MLM index. We found a nonlinear relationship between the government stringent policy and the Hurst exponent on long temporal scales, singularity spectrum width and the MLM index on short temporal scales, indicating that the loose anti-COVID policies are associated with more mature market and vice versa. On the contrary, on its long counterpart, the relationships are weaker and opposite in signs.
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来源期刊
Fluctuation and Noise Letters
Fluctuation and Noise Letters 工程技术-数学跨学科应用
CiteScore
2.90
自引率
22.20%
发文量
43
审稿时长
>12 weeks
期刊介绍: Fluctuation and Noise Letters (FNL) is unique. It is the only specialist journal for fluctuations and noise, and it covers that topic throughout the whole of science in a completely interdisciplinary way. High standards of refereeing and editorial judgment are guaranteed by the selection of Editors from among the leading scientists of the field. FNL places equal emphasis on both fundamental and applied science and the name "Letters" is to indicate speed of publication, rather than a limitation on the lengths of papers. The journal uses on-line submission and provides for immediate on-line publication of accepted papers. FNL is interested in interdisciplinary articles on random fluctuations, quite generally. For example: noise enhanced phenomena including stochastic resonance; 1/f noise; shot noise; fluctuation-dissipation; cardiovascular dynamics; ion channels; single molecules; neural systems; quantum fluctuations; quantum computation; classical and quantum information; statistical physics; degradation and aging phenomena; percolation systems; fluctuations in social systems; traffic; the stock market; environment and climate; etc.
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