Parameter Estimation of a Generalized Langevin Equation of Market Price
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This paper describes the parameter estimation of a generalized Langevin-type equation, which can be used as a model for nonlinear price dynamics in a stock market. One of the authors (H.T.) has derived a generalized Langevin equation in a discrete time frame, describing evolving price dynamics by a theoretical consideration of dealers’ behavior. With the ultimate goal of practical implementation of the model, we here attempt to estimate the random parameters that are critical for the model, by using a time series of intradaily tick-by-tick market data.
Key WordsPrice dynamics Langevin equation Stochastic coefficients Parameter estimation
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