Maria I. Loffredo
Dipartimento di Matematica, Università di Siena, I-53100 Siena,
Italy
e-mail : loffredo@unisi.it
Abstract
Search for empirical evidence of chaos and testing fractal and other
statistical
properties in the framework of time series analysis are carried on
as a
preparatory step in order to apply these concepts to data proper of
Financial
Markets and deal with the puzzling failure of traditional economic
theories.
Concepts like correlation dimension and Lyapunov exponents are discussed
and
simple Mathematica programs are given for their evaluation. Before
their
application to real economic data, a test on a well known nonlinear
dynamical
system, through the correspondent reconstructed phase space and time
series, is
carried out.