Nonlinear stochastic modeling as a background for the bursty behavior in financial markets

Details Nonlinear stochastic modeling as a background for the bursty behavior in financial markets Nonlinear stochastic modeling as a background for the bursty behavior in financial markets

2012-01-15

arxiv.org/abs/1201.3083v2

Economy

Quantitative Finance

Statistical Finance

8 pages, 5 figures

Scientific paper

We investigate large changes, bursts, of the continuous stochastic signals, when the exponent of multiplicativity is higher than one. Earlier we have proposed a general nonlinear stochastic model which can be transformed into Bessel process with known first hitting (first passage) time statistics. Using these results we derive PDF of burst duration for the proposed model. We confirm analytical expressions by numerical evaluation and discuss bursty behavior of return in financial markets in the framework of modeling by nonlinear SDE.

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