Empirical shape function of limit-order books in the Chinese stock market
arXiv:0801.3712 · doi:10.1016/j.physa.2008.05.008
Abstract
We have analyzed the statistical probabilities of limit-order book (LOB) shape through building the book using the ultra-high-frequency data from 23 liquid stocks traded on the Shenzhen Stock Exchange in 2003. We find that the averaged LOB shape has a maximum away from the same best price for both buy and sell LOBs. The LOB shape function has nice exponential form in the right tail. The buy LOB is found to be abnormally thicker for the price levels close to the same best although there are much more sell orders on the book. We also find that the LOB shape functions for both buy and sell sides have periodic peaks with a period of five. The 1-min averaged volumes at fixed tick level follow lognormal distributions, except for the left tails which display power-law behaviors, and exhibit long memory. Academic implications of our empirical results are also discussed briefly.
arXiv comment10 Elsart page including 4 figures
References in corpus (14)
- Detecting Long-range Correlations with Detrended Fluctuation Analysis
- Effect of Trends on Detrended Fluctuation Analysis
- Statistical Properties of Share Volume Traded in Financial Markets
- More statistical properties of order books and price impact
- Statistical properties of stock order books: empirical results and models
- Price fluctuations from the order book perspective - empirical facts and a simple model
- Analyzing and modelling 1+1d markets
- Empirical distributions of Chinese stock returns at different microscopic timescales
- Antibubble and Prediction of China's stock market and Real-Estate
- Quantifying bid-ask spreads in the Chinese stock market using limit-order book data: Intraday pattern, probability distribution, long memory, and multifractal nature
- Frequency of occurrence of numbers in the World Wide Web
- Empirical regularities of order placement in the Chinese stock market
- Correlation of coming limit price with order book in stock markets
- The limit order book on different time scales
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- Two Price Regimes in Limit Order Books: Liquidity Cushion and Fragmented Distant Field
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