A process-reconstruction analysis of market fluctuations

Details A process-reconstruction analysis of market fluctuations A process-reconstruction analysis of market fluctuations

2001-02-16

arxiv.org/abs/cond-mat/0102301v1

Int. Journal of Theor. and Applied Finance 5 (2002) 797

Physics

Condensed Matter

Statistical Mechanics

29 pages Latex, 16 eps-figures

Scientific paper

The statistical properties of a stochastic process may be described (1)by the expectation values of the observables, (2)by the probability distribution functions or (3)by probability measures on path space. Here an analysis of level (3) is carried out for market fluctuation processes. Gibbs measures and chains with complete connections are considered. Some other topics are also discussed, in particular the asymptotic stationarity of the processes and the behavior of statistical indicators of level (1) and (2). We end up with some remarks concerning the nature of the market fluctuation process.

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