Detrended fluctuation analysis of intertrade durations

Abstract

The intraday pattern, long memory, and multifractal nature of the intertrade durations, which are defined as the waiting times between two consecutive transactions, are investigated based upon the limit order book data and order flows of 23 liquid Chinese stocks listed on the Shenzhen Stock Exchange in 2003. An inverse $U$-shaped intraday pattern in the intertrade durations with an abrupt drop in the first minute of the afternoon trading is observed. Based on the detrended fluctuation analysis, we find a crossover of power-law scaling behaviors for small box sizes (trade numbers in boxes) and large box sizes and strong evidence in favor of long memory in both regimes. In addition, the multifractal nature of intertrade durations in both regimes is confirmed by a multifractal detrended fluctuation analysis for individual stocks with a few exceptions in the small-duration regime. The intraday pattern has little influence on the long memory and multifractaility.

15 Elsart pages including 4 figures and 1 table

References in corpus (9)

• A model for the distribution of aftershock waiting times
• Multifractal analysis of Chinese stock volatilities based on partition function approach
• Multifractality in stock indexes: Fact or fiction?
• Scaling in the distribution of intertrade durations of Chinese stocks
• The continuous time random walk formalism in financial markets
• Waiting times between orders and trades in double-auction markets
• Scale invariant multiplier and multifractality of absolute returns in stock markets
• Quantifying bid-ask spreads in the Chinese stock market using limit-order book data: Intraday pattern, probability distribution, long memory, and multifractal nature
• Endogenous and exogenous dynamics in the fluctuations of capital fluxes: An empirical analysis of the Chinese stock market

Cited by in corpus (1)

• Scale invariant multiplier and multifractality of absolute returns in stock markets