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We analyze the time series of the power loads of the 35 separated countries publicly sharing hourly data through ENTSO-E platform for more than 5 years. We apply the Multifractal Detrended Fluctuation Analysis for the demonstration of the…

Statistical Finance · Quantitative Finance 2017-06-05 Hynek Lavicka , Jiri Kracik

We have studied the multifractality of pion emission process in 16O-AgBr interactions at 2.1AGeV & 60AGeV, 12CAgBr &24Mg-AgBr interactions at 4.5AGeV and 32S-AgBr interactions at 200AGeV using Multifractal Detrended Fluctuation Analysis…

High Energy Physics - Experiment · Physics 2016-03-16 Gopa Bhoumik , Argha Deb , Swarnapratim Bhattacharyya , Dipak Ghosh

Multivariate time series forecasting is widely used in various fields. Reasonable prediction results can assist people in planning and decision-making, generate benefits and avoid risks. Normally, there are two characteristics of time…

Machine Learning · Computer Science 2021-03-23 Yifu Zhou , Ziheng Duan , Haoyan Xu , Jie Feng , Anni Ren , Yueyang Wang , Xiaoqian Wang

Ion current fluctuations occurring within open and closed states of large conductance locust potassium channel (BK channel) were investigated for the existence of correlation. Both time series, extracted from the ion current signal, were…

Condensed Matter · Physics 2009-11-07 Zuzanna Siwy , Marcel Ausloos , Kristinka Ivanova

One of the challenging research problems in the domain of time series analysis and forecasting is making efficient and robust prediction of stock market prices. With rapid development and evolution of sophisticated algorithms and with the…

Other Computer Science · Computer Science 2016-05-13 Jaydip Sen , Tamal Datta Chaudhuri

There is more and more empirical evidence that multifractality constitutes another and perhaps the most significant financial stylized fact. A realistic model of the financial dynamics should therefore incorporate this effect. The most…

Physics and Society · Physics 2008-12-02 P. Oswiecimka , J. Kwapien , S. Drozdz , A. Z. Gorski , R. Rak

We provide an alternative method for analysis of multifractal properties of time series. The new approach takes into account the behaviour of the whole multifractal profile of the generalized Hurst exponent $h(q)$ for all moment orders $q$,…

Statistical Finance · Quantitative Finance 2013-09-24 Dariusz Grech , Grzegorz Pamuła

Gold and currency markets form a unique pair with specific interactions and dynamics. We focus on the efficiency ranking of gold markets with respect to the currency of purchase. By utilizing the Efficiency Index (EI) based on fractal…

Statistical Finance · Quantitative Finance 2018-10-30 Ladislav Kristoufek , Miloslav Vosvrda

We investigate multifractality in the Korean stock-market index KOSPI. The generalized $q$th order height-height correlation function shows multiscaling properties. There are two scaling regimes with a crossover time around $t_c =40$ min.…

Chaotic Dynamics · Physics 2009-11-10 Jae Woo Lee , Kyuoung Eun Lee , Per Arne Rikvold

Due to the vulnerability of the Caribbean islands to the climate change issue, it is important to investigate the behavior of rainfall. In addition, the soil of the French West Indies Islands has been contaminated by an insecticide…

Atmospheric and Oceanic Physics · Physics 2023-11-28 J. Gomez-Gomez , T. Plocoste , E. Alexis , F. J. Jimenez-Hornero , E. Gutierrez de Rave , S. P. Nuiro

In this paper we discuss the problem of the estimation of extreme event occurrence probability for data drawn from some multifractal process. We also study the heavy (power-law) tail behavior of probability density function associated with…

Statistical Mechanics · Physics 2009-11-11 Jean-Francois Muzy , Emmanuel Bacry , Alexey Kozhemyak

The cross-correlations between the exchange rate fluctuations of 74 currencies over the period 1995-2012 are analyzed in this paper. The eigenvalue distribution of the cross-correlation matrix exhibits a bulk which approximately matches the…

Statistical Finance · Quantitative Finance 2013-05-02 Sitabhra Sinha , Uday Kovur

We investigated distributions of short term price trends for high frequency stock market data. A number of trends as a function of their lengths was measured. We found that such a distribution does not fit to results following from an…

Physics and Society · Physics 2009-11-13 Paweł Sieczka , Janusz A. Hołyst

We study the volatility time series of 1137 most traded stocks in the US stock markets for the two-year period 2001-02 and analyze their return intervals $\tau$, which are time intervals between volatilities above a given threshold $q$. We…

Statistical Finance · Quantitative Finance 2009-03-05 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

A non-fungible token (NFT) market is a new trading invention based on the blockchain technology which parallels the cryptocurrency market. In the present work we study capitalization, floor price, the number of transactions, the…

Computational Finance · Quantitative Finance 2024-01-17 Paweł Szydło , Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

Understanding the statistical properties of recurrence intervals of extreme events is crucial to risk assessment and management of complex systems. The probability distributions and correlations of recurrence intervals for many systems have…

Statistical Finance · Quantitative Finance 2012-05-10 Hao Meng , Fei Ren , Gao-Feng Gu , Xiong Xiong , Yong-Jie Zhang , Wei-Xing Zhou , Wei Zhang

When common factors strongly influence two cross-correlated time series recorded in complex natural and social systems, the results will be biased if we use multifractal detrended cross-correlation analysis (MF-DXA) without considering…

Physics and Society · Physics 2021-04-14 Bao-Gen Li , Dian-Yi Ling , Zu-Guo Yu

We discuss the problem for detecting long-range correlations in sequences of values obtained by generators of pseudo-random numbers. The basic idea is that the H{\"o}lder exponent for a sufficiently long sequence of uncorrelated random…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Nikolay K. Vitanov , Kh. Tarnev , H. Kantz

We analyse large deviations of time-averaged quantities in stochastic processes with long-range memory, where the dynamics at time t depends itself on the value q_t of the time-averaged quantity. First we consider the elephant random walk…

Statistical Mechanics · Physics 2020-08-05 Robert L. Jack , Rosemary J. Harris

Order cancellation process plays a crucial role in the dynamics of price formation in order-driven stock markets and is important in the construction and validation of computational finance models. Based on the order flow data of 18 liquid…

Statistical Finance · Quantitative Finance 2014-03-18 Gao-Feng Gu , Xiong Xiong , Wei Zhang , Yong-Jie Zhang , Wei-Xing Zhou