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1	Empirical evaluation of a Markovian model in a limit order market Trönnberg, Filip January 2012 (has links) A stochastic model for the dynamics of a limit order book is evaluated and tested on empirical data. Arrival of limit, market and cancellation orders are described in terms of a Markovian queuing system with exponentially distributed occurrences. In this model, several key quantities can be analytically calculated, such as the distribution of times between price moves, price volatility and the probability of an upward price move, all conditional on the state of the order book. We show that the exponential distribution poorly fits the occurrences of order book events and further show that little resemblance exists between the analytical formulas in this model and the empirical data. The log-normal and Weibull distribution are suggested as replacements as they appear to fit the empirical data better. Markovian model limit order book limit order market stock stock market price dynamics log-normal distribution exponential Weibull Markovian queuing system empirical data financial assets trading trader high frequency trading order book order flow HFT Joint probability density function bid queue ask queue