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A NONPARAMETRIC STATISTICAL TEST FOR CHAOS: CUMULATIVE PERIODOGRAM UNDER AN ORDER TRANSFORMATION

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Publication:3511087
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DOI10.1142/S0218127407018798zbMath1141.37365MaRDI QIDQ3511087

Dejian Lai

Publication date: 4 July 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)



Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10)




Cites Work

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  • Determining Lyapunov exponents from a time series
  • Statistics, probability and chaos. With discussion and a rejoinder by the author
  • Chaos, fractals and statistics
  • The role of chaotic processes in econometric models
  • Testing for chaos in deterministic systems with noise
  • Chaos and the dynamics of biological populations
  • COMPUTING THE DISTRIBUTION OF THE LYAPUNOV EXPONENT FROM TIME SERIES: THE ONE-DIMENSIONAL CASE STUDY
  • A nonparametric statistical approach in noisy chaos identification
  • Distribution of the estimated lyapunov exponents from noisy chaotic time series




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