A stochastic theory for the toppling activity in sandpile models is developed, based on a simple mean-field assumption about the toppling process. The theory describes the process as an anti-persistent Gaussian walk, where the diffusion coefficient is proportional to the activity. It is formulated as a generalization o…
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15 results for “anti-persistence”
Quantum circuits predict volatility dynamics preserving asymmetry.
problem Modeling volatility time series with asymmetry.
method Single-qubit quantum circuit learning (QCL) applied to synthetic data generated by Rational GARCH model.
result QCL-based predictions preserve negative return-volatility correlation and anti-persistent behavior.
This letter investigates the dynamic relationship between market efficiency, liquidity, and multifractality of Bitcoin. We find that before 2013 liquidity is low and the Hurst exponent is less than 0.5, indicating that the Bitcoin time series is anti-persistent. After 2013, as liquidity increased, the Hurst exponent ro…
Extended speculation game improves Hurst exponent of financial time series.
problem Anti-persistent market price behavior resulting in small Hurst exponent.
method Introduced a perturbative part to price change considering additional effects.
result Improved Hurst exponent value of financial time series.
Rough volatility of Bitcoinq-fin.ST
Recent studies have found that the log-volatility of asset returns exhibit roughness. This study investigates roughness or the anti-persistence of Bitcoin volatility. Using the multifractal detrended fluctuation analysis, we obtain the generalized Hurst exponent of the log-volatility increments and find that the genera…
We measure the influence of different time-scales on the dynamics of financial market data. This is obtained by decomposing financial time series into simple oscillations associated with distinct time-scales. We propose two new time-varying measures: 1) an amplitude scaling exponent and 2) an entropy-like measure. We a…
We consider the Nordic electricity spot market from mid 1992 to the end of year 2000. This market is found to be well approximated by an anti-persistent self-affine (mean-reverting) walk. It is characterized by a Hurst exponent of over three orders of magnitude in time ranging from days to years. We argu…
Fluctuations and response in financial markets: the subtle nature of `random' price changescond-mat.stat-mech
Using Trades and Quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delicate interplay between two opposite tendencies: long-range correlated market orders that lead to super-diffusion (or persistence), and mean reverting limit orders that lead to sub-diffu…
The paper introduces a new method to detect rough volatility and market states using fractional derivatives.
problem Testing self-similarity in fractional processes from a single observed trajectory is difficult under long-range dependence.
method The paper introduces a regime-adaptive KS/GL--KS framework based on the discrete Grünwald--Letnikov (GL) fractional derivative.
result The method detects rough volatility and persistent, anti-persistent, or efficient market states in financial applications.
We analyze the market efficiency of 25 commodity futures across various groups -- metals, energies, softs, grains and other agricultural commodities. To do so, we utilize recently proposed Efficiency Index to find that the most efficient of all the analyzed commodities is heating oil, closely followed by WTI crude oil,…
Theory of market fluctuationsq-fin.ST
We propose coalescent mechanism of economic grow because of redistribution of external resources. It leads to Zipf distribution of firms over their sizes, turning to stretched exponent because of size-dependent effects, and predicts exponential distribution of income between individuals. We also present new approach to…
In this paper we investigate predictability of electricity prices in the Canadian provinces of Alberta and Ontario, as well as in the US Mid-C market. Using scale-dependent detrended fluctuation analysis, spectral analysis, and the probability distribution analysis we show that the studied markets exhibit strongly anti…
Study examines how Trump tariffs and COVID-19 affected financial market efficiency.
problem Impact of geopolitical and systemic shocks on financial market efficiency.
method Multifractal detrended fluctuation analysis applied to financial asset returns.
result Trump tariffs had moderate but observable effects on market efficiency, while COVID-19 induced substantial changes.
The paper predicts Bitcoin volatility using order flow images.
problem Predicting short-term volatility of Bitcoin prices.
method Transformed order flow data into images, trained CNN and ResNet models.
result Order flow representation with CNN achieves best performance, with RMSPE of 0.85+/-1.1.
New method estimates multiscaling exponents for financial risk assessment.
problem Estimating multiscaling properties in financial time series.
method Generalized Hurst Exponent (GHE) and RNSGHE method.
result MSVaR method improves VaR forecasts for multiscaling financial data.