Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-05-24
Physics
Condensed Matter
Statistical Mechanics
10 pages, 4 figures
Scientific paper
A complex process is often a balance between non-stationary and stationary components. We show how the non-extensive Tsallis q-entropy indicator may be interpreted as a measure of non-stationarity in time series. This is done by applying the non-extensive entropy formalism to the Diffusion Entropy Analysis (DEA). We apply the analysis to the study of the teen birth phenomenon. We find that the unmarried teen births are strongly influenced by social processes with memory. This memory is related to the strength of the non-stationary component of the signal and is more intense than that in the married teen time series. By using the wavelet multiresolution analysis we attempt to give a social interpretation of this effect.
Grigolini Paolo
Hamilton Patti
Scafetta Nicola
West Bruce J.
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