Long-range memory test by the burst and inter-burst duration distribution
arXiv:2006.00596 · doi:10.1088/1742-5468/abb4db
Abstract
It is empirically established that order flow in the financial markets is positively auto-correlated and can serve as an example of a social system with long-range memory. Nevertheless, widely used long-range memory estimators give varying values of the Hurst exponent. We propose the burst and inter-burst duration statistical analysis as one more test of long-range memory and implement it with the limit order book data comparing it with other widely used estimators. This method gives a more reliable evaluation of the Hurst exponent independent of the stock in consideration or time definition used. Results strengthen the expectation that burst and inter-burst duration analysis can serve as a better method to investigate the property of long-range memory.
arXiv comment18 pages, 8 figures
References in corpus (20)
- Power-law distributions in empirical data
- Multifractal detrended fluctuation analysis of nonstationary time series
- Understanding the source of multifractality in financial markets
- Why is order flow so persistent?
- Markov Processes, Hurst Exponents, and Nonlinear Diffusion Equations with application to finance
- Point process model of 1/f noise versus a sum of Lorentzians
- Agent based reasoning for the non-linear stochastic models of long-range memory
- Modeling long-range memory with stationary Markovian processes
- Consentaneous agent-based and stochastic model of the financial markets
- Tsallis distributions and 1/f noise from nonlinear stochastic differential equations
- Stochastic model of financial markets reproducing scaling and memory in volatility return intervals
- Three-state herding model of the financial markets
- Modeling long-range memory trading activity by stochastic differential equations
- The class of nonlinear stochastic models as a background for the bursty behavior in financial markets
- Long-range memory model of trading activity and volatility
- Modelling financial markets by the multiplicative sequence of trades
- Burst and inter-burst duration statistics as empirical test of long-range memory in the financial markets
- Spurious memory in non-equilibrium stochastic models of imitative behavior
- The consentaneous model of the financial markets exhibiting spurious nature of long-range memory
- Bessel-like birth-death process