Non-extensive diffusion entropy analysis: non-stationarity in teen birth phenomena Page: 1
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Non-extensive diffusion entropy analysis:
non-stationarity in teen birth phenomena
N. Scafetta'1, P. Grigolini"23, P. Hamnilton' and B. J. West1
1) Physics Department. Duke University, Durham. NC
2) Physics Department, University of North Texas, Denton, TX
3) Dipartimento di Fisica dellUniversita di Pisa and INFM,
Pisa 56127, Italy
4) Center for Nonlinear Science, Texas Woman University,
Denton, TX 76204
5) Mathematics Division, Army Research Office,
Research Triangle Park, NC
February 6, 2008
A colnlex process is often a balance betw eeni non-stationary and sta-
tionary componentss. W\Xe show how the non-extensive Tsallis q-entropy
indicator may be interpreted as a measure of non-stationarity in time se-
ries. This is done by applying tIhe nlon-extensive entropy formalism to the
Difflsion Entropy Analysis (DEA). -e apply the analysis to the study
of the teen birth phenomenon. WXXe find that the unmarried teen births
are strongly infletncced by social processes with memory. This memory is
related to the strength of the no1n-statiolnary component of the signal and
is more intense than that in the married teen time series. By using the
wavelet mlltiresolltionI analysis we attempt to give a, social interpretation
of this effect.
One of the most exciting and rapidly developing areas of modern research is the
quantitative study of "complexity." Complexity has special interdisciplinary im-
pact in thce fields of physics, mathematics, information science, biology, sociology
and medicine. No definition of complex system has been universally embraced,
so here we adopt the working definition "ain arrangement of parts so intricate as
to be hard to understand or deal with." Therefore, the main goal of the science
of complexity is to develop mathematical methods able to discriminate among
the fundamental microscopic and macroscopic constituents of a complex system
a1nd to describe their interrelations in a concise way.
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Scafetta, Nicola; Grigolini, Paolo; Hamilton, P. & West, Bruce J. Non-extensive diffusion entropy analysis: non-stationarity in teen birth phenomena, paper, February 6, 2008; (digital.library.unt.edu/ark:/67531/metadc174685/m1/1/: accessed November 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.