A complex process is often a balance between nonscaling and scaling components. We show how the nonextensive Tsallis q-entropy indicator may be interpreted as a measure of the nonscaling condition in time series. This is done by applying the nonextensive entropy formalism to the diffusion entropy analysis (DEA). We apply the analysis to the study of the teen birth phenomenon. We find that the number of unmarried teen births is strongly influenced by social processes that induce an anomalous memory in the data. This memory is related to the strength of the nonscaling component of the signal and is more intense than that in the married teen birth time series. By using a wavelet multiresolution analysis, we attempt to provide a social interpretation of this effect.
Non-extensive diffusion entropy analysis and teen birth phenomena / Scafetta, Nicola; Grigolini, P.; Hamilton, P.; West, B. J.. - (2004), pp. 295-304.
Non-extensive diffusion entropy analysis and teen birth phenomena
SCAFETTA, NICOLA;
2004
Abstract
A complex process is often a balance between nonscaling and scaling components. We show how the nonextensive Tsallis q-entropy indicator may be interpreted as a measure of the nonscaling condition in time series. This is done by applying the nonextensive entropy formalism to the diffusion entropy analysis (DEA). We apply the analysis to the study of the teen birth phenomenon. We find that the number of unmarried teen births is strongly influenced by social processes that induce an anomalous memory in the data. This memory is related to the strength of the nonscaling component of the signal and is more intense than that in the married teen birth time series. By using a wavelet multiresolution analysis, we attempt to provide a social interpretation of this effect.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
