A process-reconstruction analysis of market fluctuations
Statistical Mechanics
2008-12-02 v1 Trading and Market Microstructure
Abstract
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.
Cite
@article{arxiv.cond-mat/0102301,
title = {A process-reconstruction analysis of market fluctuations},
author = {R. Vilela Mendes and R. Lima and T. Araujo},
journal= {arXiv preprint arXiv:cond-mat/0102301},
year = {2008}
}
Comments
29 pages Latex, 16 eps-figures