Statistical Properties of Statistical Ensembles of Stock Returns
Statistical Mechanics
2008-12-02 v1 Statistical Finance
Abstract
We select n stocks traded in the New York Stock Exchange and we form a statistical ensemble of daily stock returns for each of the k trading days of our database from the stock price time series. We analyze each ensemble of stock returns by extracting its first four central moments. We observe that these moments are fluctuating in time and are stochastic processes themselves. We characterize the statistical properties of central moments by investigating their probability density function and temporal correlation properties.
Keywords
Cite
@article{arxiv.cond-mat/9909302,
title = {Statistical Properties of Statistical Ensembles of Stock Returns},
author = {Fabrizio Lillo and Rosario N. Mantegna},
journal= {arXiv preprint arXiv:cond-mat/9909302},
year = {2008}
}
Comments
3 pages, 2 figures. Submitted to the Proceedings of the Conference "Applications of Physics in Financial Analysis", to be published in: International Journal of Theoretical and Applied Finance