Monetary Datum Fractal Analysis Using the Time Series Theory

被引:2
|
作者
Paun, Maria-Alexandra [1 ]
Paun, Vladimir-Alexandru [2 ]
Paun, Viorel-Puiu [3 ,4 ]
机构
[1] Fed Off Commun OFCOM, Div Radio Monitoring & Equipment, Sect Market Access & Conform, CH-2501 Biel, Switzerland
[2] Five Rescue Res Lab, F-75004 Paris, France
[3] Univ Politehn Bucuresti, Fac Appl Sci, Phys Dept, Bucharest 060042, Romania
[4] Acad Romanian Scientists, Bucharest 50085, Romania
来源
SYMMETRY-BASEL | 2023年 / 15卷 / 10期
关键词
fractal dimension; time series; directional symmetry; exchange rate; fluctuation prognosis;
D O I
10.3390/sym15101896
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The paper will allow the interpretation of exchange rate fluctuations for several international currencies, the EUR-European currency and the CHF-Swiss Franc, respectively. The fractal dimension versus box-counting dimension, together with the fractal dimension versus log scale for CHF and EUR, respectively, are thoroughly presented. The exchange rate time series for CHF and EUR during March-June 2022 were also analyzed. The Hurst exponent H was numerically evaluated. By the application of directional symmetry (DS) statistics, the model efficiency in predicting the direction modification of time series has been verified. Ultimately, the prognosis of EUR-RON and CHF-RON exchange rates of the time series fluctuations for the last months (August-December) of the year 2022 was performed.
引用
收藏
页数:15
相关论文
共 50 条
  • [1] Time series analysis using fractal theory and online ensemble classifiers
    Lunga, Dalton
    Marwala, Tshilidzi
    AI 2006: ADVANCES IN ARTIFICIAL INTELLIGENCE, PROCEEDINGS, 2006, 4304 : 312 - +
  • [2] Time series analysis and prediction based on fractal theory
    Qiu, Huaxu
    Huang, Zhangyu
    Zheng, Jianlei
    Wei, Jinde
    Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition), 2013, 43 (SUPPL.2): : 334 - 337
  • [3] Time Series Analysis Using Fractal and Multifractal Methods
    Gospodinova, Evgeniya
    COMPUTER SYSTEMS AND TECHNOLOGIES, 2019, : 188 - 193
  • [4] Novel time series analysis and prediction of stock trading using fractal theory and time delayed neural network
    Yakuwa, F
    Dote, Y
    Yoneyama, M
    Uzurabashi, S
    2003 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS, VOLS 1-5, CONFERENCE PROCEEDINGS, 2003, : 134 - 141
  • [5] Novel time series analysis and prediction of stock trading using fractal theory and time delayed neural network
    Yakuwa, F
    Yoneyama, M
    Dote, Y
    DESIGN AND APPLICATION OF HYBRID INTELLIGENT SYSTEMS, 2003, 104 : 97 - 106
  • [6] Using Least-Square Spectral Analysis Method for Time Series with Datum Shifts
    Gomita, Ingudam
    Chauhan, Sandeep
    Sagar, Raj Kumar
    PROCEEDINGS OF FIFTH INTERNATIONAL CONFERENCE ON SOFT COMPUTING FOR PROBLEM SOLVING (SOCPROS 2015), VOL 2, 2016, 437 : 39 - 49
  • [7] Time Series Data Analysis Using Fractional Calculus Concepts and Fractal Analysis
    Repperger, D. W.
    Farris, K. A.
    Barton, C. C.
    Tebbens, S.
    2009 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC 2009), VOLS 1-9, 2009, : 3311 - +
  • [8] UNRAVELING FINANCIAL MARKET DYNAMICS: THE APPLICATION OF FRACTAL THEORY IN FINANCIAL TIME SERIES ANALYSIS
    Dawi, Norazryana binti mat
    Matejicek, Martin
    Maresova, Petra
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2025, 33 (01)
  • [9] Econophysics and the fractal analysis of financial time series
    Dubovikov, M. M.
    Starchenko, N. V.
    PHYSICS-USPEKHI, 2011, 54 (07) : 754 - 761
  • [10] On fractal analysis of cardiac interbeat time series
    Guzmán-Vargas, L
    Calleja-Quevedo, E
    Angulo-Brown, F
    MEDICAL PHYSICS, 2003, 682 : 226 - 231