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We analyze the multifractal spectra of daily foreign exchange rates for Japan, Hong-Kong, Korea, and Thailand with respect to the United States Dollar from 1991 to 2005. We find that the return time series show multifractal spectrum…

Based on the Multifractal Detrended Fluctuation Analysis (MFDFA) and on the Wavelet Transform Modulus Maxima (WTMM) methods we investigate the origin of multifractality in the time series. Series fluctuating according to a qGaussian…

数据分析、统计与概率 · 物理学 2015-05-13 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka , Rafal Rak

Multifractal detrended cross-correlation methodology is described and applied to Foreign exchange (Forex) market time series. Fluctuations of high frequency exchange rates of eight major world currencies over 2010-2018 period are used to…

统计金融 · 定量金融 2019-12-17 Robert Gębarowski , Paweł Oświęcimka , Marcin Wątorek , Stanisław Drożdż

Grains account for more than 50% of the calories consumed by people worldwide, and military conflicts, pandemics, climate change, and soaring grain prices all have vital impacts on food security. However, the complex price behavior of the…

统计金融 · 定量金融 2023-10-30 Li Wang , Xing-Lu Gao , Wei-Xing Zhou

This study examines the effects of Trump-era tariffs on financial market efficiency by applying multifractal detrended fluctuation analysis to the return and absolute return time series of six major financial assets: the S\&P 500, SSEC,…

统计金融 · 定量金融 2026-02-03 Tetsuya Takaishi

By adopting Multifractal detrended fluctuation (MF-DFA) analysis methods, the multifractal nature is revealed in the high-frequency data of two typical indexes, the Shanghai Stock Exchange Composite 180 Index (SH180) and the Shenzhen Stock…

统计金融 · 定量金融 2018-06-21 Xin-Lan Fu , Xing-Lu Gao , Zheng Shan , Zhi-Qiang Jiang , Wei-Xing Zhou

An average instantaneous cross-correlation function is introduced to quantify the interaction of the financial market of a specific time. Based on the daily data of the American and Chinese stock markets, memory effect of the average…

统计金融 · 定量金融 2015-05-18 Tian Qiu , Guang Chen , Li-Xin Zhong , Xiao-Wei Lei

Multifractality is a concept that helps compactly grasping the most essential features of the financial dynamics. In its fully developed form, this concept applies to essentially all mature financial markets and even to more liquid…

Climate change has driven the market to seek new ways of raising funds to mitigate its effects. One such innovation is the emergence of Green Bonds financial assets specifically designed to support sustainable projects. This study explores…

We develop a method for the multifractal characterization of nonstationary time series, which is based on a generalization of the detrended fluctuation analysis (DFA). We relate our multifractal DFA method to the standard partition…

数据分析、统计与概率 · 物理学 2009-11-07 Jan W. Kantelhardt , Stephan A. Zschiegner , Eva Koscielny-Bunde , Armin Bunde , Shlomo Havlin , H. Eugene Stanley

In this article, we examine whether the gold market returns show abnormally positive or negative returns in some months of the calendar year. The statistical analysis and the decomposition techniques suggest that gold prices show some…

统计金融 · 定量金融 2020-03-26 Osman Gulseven

This contribution addresses the question commonly asked in scientific literature about the sources of multifractality in time series. Two primary sources are typically considered. These are temporal correlations and heavy tails in the…

数据分析、统计与概率 · 物理学 2025-01-16 Robert Kluszczyński , Stanisław Drożdż , Jarosław Kwapień , Tomasz Stanisz , Marcin Wątorek

In the last decades, an ever-growing number of studies are focusing on the extreme weather conditions related to the climate change. Some of them are based on multifractal approaches, such as the Multifractal Detrended Fluctuation Analysis…

The disaggregated time-series for the Consumer Price Index (CPI) often exhibits exact zero price changes, stemming from structural features of the data collection process. However, the currently prominent stochastic volatility model of…

统计方法学 · 统计学 2026-03-04 Geonhee Han , Kaoru Irie

We use multifractal detrended fluctuation analysis (MF-DFA), to See query 1 study sunspot number fluctuations. The result of the MF-DFA shows that there are three crossover timescales in the fluctuation function. We discuss how the…

数据分析、统计与概率 · 物理学 2011-02-16 M. Sadegh Movahed , G. R. Jafari , F. Ghasemi , Sohrab Rahvar , M. Reza Rahimi Tabar

In this manuscript we present a comprehensive study on the multifractal properties of high-frequency price fluctuations and instantaneous volatility of the equities that compose Dow Jones Industrial Average. The analysis consists about…

统计金融 · 定量金融 2008-12-02 Jeferson de Souza , Silvio M. Duarte Queiros

In this paper we will try to assess the multifractality displayed by the high-frequency returns of Madrid's Stock Exchange IBEX35 index. A Multifractal Detrended Fluctuation Analysis shows that this index has a wide singularity spectrum…

统计金融 · 定量金融 2015-06-16 Pablo Suárez-García , David Gómez-Ullate

This paper uses new and recently introduced mathematical techniques to undertake a data-driven study on the systemic nature of global inflation. We start by investigating country CPI inflation over the past 70 years. There, we highlight the…

数理金融 · 定量金融 2022-03-02 Nick James , Kevin Chin

Motivated by the current fears of a potentially stagflationary global economic environment, this paper uses new and recently introduced mathematical techniques to study multivariate time series pertaining to country inflation (CPI),…

统计金融 · 定量金融 2022-09-22 Nick James , Max Menzies , Kevin Chin

This article continues our analysis of the gold price dynamics that was published in December 2010 (abs/1012.4118) and forecasted the possibility of the "burst of the gold bubble" in April - June 2011. Our recent analysis suggests the…

统计金融 · 定量金融 2011-07-05 Askar Akaev , Alexei Fomin , Andrey Korotayev