English and Chinese language frequency time series analysis |
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Authors: | WeiBing Deng DuJuan Wang Wei Li Qiuping Alexandre Wang |
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Institution: | DENG WeiBing1,2,3,WANG DuJuan2,LI Wei2,4 & WANG Qiuping Alexandre1,3 1 LUNAM Université,ISMANS,Laboratoire de Physique Statistique et Systèmes Complexes,44,Ave. Bartholdi,72000 Le Mans,France,2 Complexity Science Center,Institute of Particle Physics,Central China Normal University,Wuhan 430079,China,3 LUNAM Université,Universite du Maine,LPEC,UMR CNRS 6087,72085 Le Mans,4 Max-Planck-Institute for Mathematics in the Sciences,Leipzig 04103,Germany |
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Abstract: | English and Chinese language frequency time series (LFTS) were constructed based on an English and two Chinese novels. Methods of statistical hypothesis testing were adopted to test the nonlinear properties of the LFTS. Results suggest the series exhibited non-normal, auto-correlative, and stationary characteristics. Moreover, we found that LFTS follow the power law distributions, and thereby we investigated the fractal structure, long range correlation, and intermittency, which indicated the self-similarit... |
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Keywords: | language time series self-similarity Hurst exponent long range correlation intermittency |
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