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- W2229443983 abstract "We study probabilistic properties of a zero intelligence model of a limit order market, very similar to those of Maslov [2000] and Smith et. al [2003]. We (recursively) describe the distributions of the order books and the best quotes. Based on these theoretical results, we propose a procedure for statistical inference of the model and we show the way how to simulate the evolution of the process more efficiently then by the simulation of all the events. We prove that the price increments may be fat tailed if there is no initial order book but they are thin-tailed given a non-empty (Poisson distributed) order book. Finally, we show that, by a discretization of our model, the model of Smith et. al [2003] is obtained and that a majority of our results is applicable to this model too." @default.
- W2229443983 created "2016-06-24" @default.
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- W2229443983 date "2008-01-01" @default.
- W2229443983 modified "2023-09-26" @default.
- W2229443983 title "Probabilistic Properties of the Continuous Double Auction - Uniform Case" @default.
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- W2229443983 doi "https://doi.org/10.2139/ssrn.1087239" @default.
- W2229443983 hasPublicationYear "2008" @default.
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