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Source Of The Multifractality In Exchange Markets: Multifractal Detrended Fluctuations Analysis

机译:外汇市场中多重分形的来源:多重分形趋势波动分析

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In this study, we analyzed the multifractality and the source of multifractality of the returns of GBP/USD, EUR/USD, USD/JPY and USD/CHF currencies. In the examination of multifractality we performed the Multifractal Detrended Fluctuation Analysis (MF-DFA). Also, we used shuffled and surrogated data that was derived from the Statically Transformed Autoregressive Process (STAP) method to determine the source of multifractality. According to the results, GBP/USD returns have monofractal features, whereas EUR/USD, USD/JPY and USD/CHF returns have multifractal behaviors. The tests concerning the source of multifractality indicated that the reason of multifractality for EUR/USD and USD/JPY returns is fat-tails of the probability density function of returns, whereas the reason of multifractality of USD/CHF returns are both long memory and fat tails. Also we have seen that there is an ambiguous relationship between the liquidity of the currency market and multifractality.
机译:在这项研究中,我们分析了英镑/美元,欧元/美元,美元/日元和美元/瑞郎货币的收益的多重性和多重性来源。在多重分形的检查中,我们执行了多重分形趋势波动分析(MF-DFA)。另外,我们使用从静态变换自回归过程(STAP)方法得出的经过改组和替代的数据来确定多重分形的来源。根据结果​​,GBP / USD收益具有分形特征,而EUR / USD,USD / JPY和USD / CHF收益具有多重分形行为。关于多重分形来源的检验表明,欧元/美元和美元/日元收益的多重分形的原因是收益概率密度函数的尾巴,而美元/瑞郎收益的多重分形的原因既是长记忆又是肥胖尾巴。我们还看到,货币市场的流动性与多重性之间存在着模糊的关系。

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