Analysis of chain reaction between two stock indices fluctuations by statistical physics systems

  • Authors:
  • Jiguang Shao;Jun Wang

  • Affiliations:
  • Beijing Jiaotong University, College of Science, Department of Mathematics, Beijing, China;Beijing Jiaotong University, College of Science, Department of Mathematics, Beijing, China

  • Venue:
  • WSEAS Transactions on Mathematics
  • Year:
  • 2010

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Abstract

In this paper, we consider the statistical properties of chain reaction of stock indices. The theory of interacting systems and statistical physics are applied to describe and study the fluctuations of two stock indices in a stock market, and the properties of the interacting reaction of the two indices are investigated in the present paper. In this work, stochastic analysis and the two random paths model are used to study the probability distribution for the chain reaction of stock indices, further we show the asymptotical behavior of probability measures of the fluctuations for the two stock indices model. In the last part, we discuss the convergence of the finite dimensional probability distributions for the financial model.