Persistence Probabilities of the German DAX and Shanghai Index

Details Persistence Probabilities of the German DAX and Shanghai Index Persistence Probabilities of the German DAX and Shanghai Index

2005-11-23

arxiv.org/abs/nlin/0511048v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Scientific paper

10.1016/j.physa.2004.11.054

We present a relatively detailed analysis of the persistence probability distributions in financial dynamics. Compared with the auto-correlation function, the persistence probability distributions describe dynamic correlations non-local in time. Universal and non-universal behaviors of the German DAX and Shanghai Index are analyzed, and numerical simulations of some microscopic models are also performed. Around the fixed point $z_0=0$, the interacting herding model produces the scaling behavior of the real markets.

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