Linear and nonlinear correlations in order aggressiveness of Chinese stocks
arXiv:1707.05604 · doi:10.1142/S0218348X17500414
Abstract
The diagonal effect of orders is well documented in different markets, which states that orders are more likely to be followed by orders of the same aggressiveness and implies the presence of short-term correlations in order flows. Based on the order flow data of 43 Chinese stocks, we investigate if there are long-range correlations in the time series of order aggressiveness. The detrending moving average analysis shows that there are crossovers in the scaling behaviors of overall fluctuations and order aggressiveness exhibits linear long-term correlations. We design an objective procedure to determine the two Hurst indexes delimited by the crossover scale. We find no correlations in the short term and strong correlations in the long term for all stocks except for an outlier stock. The long-term correlation is found to depend on several firm specific characteristics. We also find that there are nonlinear long-term correlations in the order aggressiveness when we perform the multifractal detrending moving average analysis.
8 RevTex pages including 4 figures and 1 table
References in corpus (22)
- Detrended Cross-Correlation Analysis: A New Method for Analyzing Two Non-stationary Time Series
- Multifractal detrended cross-correlation analysis for two nonstationary signals
- Cross-correlations between volume change and price change
- Detrending moving average algorithm for multifractals
- Comparison of detrending methods for fluctuation analysis
- Effect of nonlinear filters on detrended fluctuation analysis
- Detrended fluctuation analysis for fractals and multifractals in higher dimensions
- Detrended partial cross-correlation analysis of two nonstationary time series influenced by common external forces
- Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series
- Detecting and interpreting distortions in hierarchical organization of complex time series
- Effect of extreme data loss on long-range correlated and anti-correlated signals quantified by detrended fluctuation analysis
- Detrending Moving Average variance: a derivation of the scaling law
- Arbitrary-order Hilbert spectral analysis for time series possessing scaling statistics: a comparison study with detrended fluctuation analysis and wavelet leaders
- Algorithm to estimate the Hurst exponent of high-dimensional fractals
- Emergence of long memory in stock volatility from a modified Mike-Farmer model
- The foreign exchange market: return distributions, multifractality, anomalous multifractality and Epps effect
- Joint multifractal analysis based on wavelet leaders
- Detrended fluctuation analysis of intertrade durations
- Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant
- Empirical regularities of opening call auction in Chinese stock market
- Empirical properties of inter-cancellation durations in the Chinese stock market
- Immediate price impact of a stock and its warrant: Power-law or logarithmic model?