Computer simulations with Mathematica: explorations in complex physical and biological systems
Computer simulations with Mathematica: explorations in complex physical and biological systems
Tests of Long Memory: A Bootstrap Approach
Computational Economics
Jump diffusion model with application to the Japanese stock market
Mathematics and Computers in Simulation
Forecasting model of global stock index by stochastic time effective neural network
Expert Systems with Applications: An International Journal
Volatility clustering and long memory of financial time series and financial price model
Digital Signal Processing
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Abstract: Applying the theory of statistical physics systems - the voter model, a random stock price model is modeled and studied in this paper, where the voter model is a continuous time Markov process. In this price model, for the different parameters values of the intensity @l, the lattice dimension d, the initial density @q, and the multivariate set (@q, @l), we discuss and analyze the statistical behaviors of the price model. Moreover, we investigate the power-law distributions, the long-term memory of returns and the volatility clustering phenomena for the Chinese stock indices. The database is from the indices of Shanghai and Shenzhen in the 6-year period from July 2002 to June 2008. Further, the comparisons of the empirical research and the simulation data are given.