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

页数：15

共 20 条

[1] Analysis of market efficiency and fractal feature of NASDAQ stock exchange: Time series modeling and forecasting of stock index using ARMA-GARCH model [J].

Arashi, Mohammad ;

Rounaghi, Mohammad Mahdi .

FUTURE BUSINESS JOURNAL, 2022, 8 (01)

[2] A Review of the Fractal Market Hypothesis for Trading and Market Price Prediction [J].

Blackledge, Jonathan ;

Lamphiere, Marc .

MATHEMATICS, 2022, 10 (01)

[3] Supply chain risk management in financial crises-A multiple case-study approach [J].

Blome, Constantin ;

Schoenherr, Tobias .

INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 2011, 134 (01) :43-57

[4]

Bordescu D, 2018, U POLITEH BUCH SER A, V80, P309

[5] Box-Counting Dimension Revisited: Presenting an Efficient Method of Minimizing Quantization Error and an Assessment of the Self-Similarity of Structural Root Systems [J].

Bouda, Martin ;

Caplan, Joshua S. ;

Saiers, James E. .

FRONTIERS IN PLANT SCIENCE, 2016, 7

[6]

Ciucu SC, 2015, U POLITEH BUCH SER A, V77, P235

[7]

Falconer K., 1990, Fractal Geometry: Mathematical Foundations and Applications

[8]

Fuller W.A., 1995, INTRO STAT TIME SERI

[9]

HURST HE, 1951, T AM SOC CIV ENG, V116, P770

[10] Symmetry Analysis of an Interest Rate Derivatives PDE Model in Financial Mathematics [J].

Kaibe, Bosiu C. ;

O'Hara, John G. .

SYMMETRY-BASEL, 2019, 11 (08)

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