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arXiv 1507.06219q-fin.STcond-mat.stat-mechphysics.soc-ph
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批发电价的多尺度化

Multi-scaling of wholesale electricity prices

Francesco Caravelli, James Requeima, Cozmin Ududec, Ali Ashtari, Tiziana Di Matteo, Tomaso Aste

摘要:

我们实证分析了北美两个批发电力市场的电价时间序列中最不稳定的成分。我们发现,这些时间序列表现出的波动是不描述的布朗运动,因为它们显示多尺度,高赫斯特指数和急剧的价格变动。我们使用广义赫斯特指数(GHE,$H(q)$)来表明,尽管这些时间序列具有很强的周期性成分,但波动表现出持久的行为,即,$H(q)>0.5$。我们调查的有效性GHE作为一个简单的线性预测模型中的预测工具,并研究预测误差作为$H(q)$的函数,与$q=1$和$q=2$。我们的研究结果表明,GHE可以作为预测工具,这些时间序列时,赫斯特指数动态评估滚动时间窗口大小$\approx 50 - 100$小时。这些结果也比较的情况下,其中的周期性成分已被从时间序列中减去,显示的重要性,周期性的预测能力的赫斯特指数。

英文摘要:

We empirically analyze the most volatile component of the electricity price time series from two North-American wholesale electricity markets. We show that these time series exhibit fluctuations which are not described by a Brownian Motion, as they show multi-scaling, high Hurst exponents and sharp price movements. We use the generalized Hurst exponent (GHE, $H(q)$) to show that although these time-series have strong cyclical components, the fluctuations exhibit persistent behaviour, i.e., $H(q)>0.5$. We investigate the effectiveness of the GHE as a predictive tool in a simple linear forecasting model, and study the forecast error as a function of $H(q)$, with $q=1$ and $q=2$. Our results suggest that the GHE can be used as prediction tool for these time series when the Hurst exponent is dynamically evaluated on rolling time windows of size $\approx 50 - 100$ hours. These results are also compared to the case in which the cyclical components have been subtracted from the time series, showing the importance of cyclicality in the prediction power of the Hurst exponent.

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