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High-dimensional Hawkes processes for limit order books: modelling, empirical analysis and numerical calibration

High-dimensional Hawkes processes for limit order books: modelling, empirical analysis and numerical calibration

High-dimensional Hawkes processes with exponential kernels are used to describe limit order books in order-driven financial markets. The dependencies between orders of various types are carefully studied and modelled, based on a thorough empirical analysis. The observation of inhibition effects is particularly interesting, and leads us to the use of …