A major application of rescaled adjusted range analysis (RS analysis) is the study of price fluctuations in financial markets. There, the value of the Hurst constant, H, in a time series may be interpreted as an indicator of the irregularity of the price of a commodity, currency or similar...

We utilize long-term memory, fractal dimension and approximate entropy as input variables for the Efficiency Index [Kristoufek & Vosvrda (2013), Physica A 392]. This way, we are able to comment on stock market efficiency after controlling for different types of inefficiencies. Applying the...

Abstract Objectives The non-linear progression of new infection numbers in a pandemic poses challenges to the evaluation of its management. The tools of complex systems research may aid in attaining information that would be difficult to extract with other means. Methods To study the COVID-19...

This study examines the statistical properties of volatility. Fractal dimension, probability distribution and two-point volatility correlation are used to measure and compare volatility among six different markets for the 12-year period from Jan. 1 1990 to Dec. 31 2001. New York market is found...

The main purpose of this article is to prove that prices of selected metals quoted at London Metal Exchange could be described as biased random walks. In this paper hypothesis of black noise character of returns is verified (sequences are observed more frequently than reversals). Exploiting...

In the article two methods of estimating fractal dimension of financial time series are compared: variation method and method of area division. Both methods are used to estimate fractal dimension of chosen exchange rates time series.

The paper develops an algorithm for making long-term (up to three months ahead) predictions of volatility reversals based on long memory properties of financial time series. The approach for computing fractal dimension using sequence of the minimal covers with decreasing scale is used to...

In this paper, we introduce a new measure of capital market efficiency. For its construction, we use the approaches of fractal dimension, Hurst exponent and entropy. The method is applied on 41 stock indices from the beginning of 2000 till the end of August 2011 and interesting results are found...

The fractal properties of some segments of the global commodity derivatives market have been investigated in the present article. The fractal nature of segments of oil and copper derivatives markets has been determined. The presence of speculative reference groups of investors on given segments...

This paper presents a fractal analysis application to the verification of assumptions of Fractal Market Hypothesis and the presence of fractal properties in financial time series. In this research, the box-counting dimension and pointwise Hölder exponents are used. Achieved results lead to...