Permutations and time series analysis

Chaos

Volumn 19, Issue 4, 2009, Pages

  Cánovas, Jose S ^a   Guillamón, Antonio ^a  

^a TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; COMPUTER GRAPHICS; COMPUTER INTERFACE; COMPUTER SIMULATION; NONLINEAR SYSTEM; STATISTICAL ANALYSIS; STATISTICAL DISTRIBUTION; STATISTICAL MODEL; TIME;

ALGORITHMS; COMPUTER GRAPHICS; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; MODELS, STATISTICAL; NONLINEAR DYNAMICS; STATISTICAL DISTRIBUTIONS; TIME FACTORS; USER-COMPUTER INTERFACE;

EID: 74349126566     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3238256     Document Type: Article

References (15)

1. Amigó, J. M. and Kennel, M. B., " Topological permutation entropy.," Physica D 0167-2789 231, 137-142 (2007). 10.1016/j.physd.2007. 04.010 (Pubitemid 46963401)
2. Amigó, J. M., Zambrano, S., and Sanjuán, M. A. F., " Combinatorial detection of determinism in noisy time series.," Europhys. Lett. 0295-5075 83, 60005 (2008). 10.1209/0295-5075/83/60005
3. Amigó, J. M., Zambrano, S., and Sanjuán, M. A. F., " True and false forbidden patterns in deterministic and random dynamics.," Europhys. Lett. 0295-5075 79, 50001 (2007). 10.1209/0295-5075/79/50001
4. Bandt, C., Keller, G., and Pompe, B., " Entropy of interval maps via permutations.," Nonlinearity 0951-7715 15, 1595-1602 (2002). 10.1088/0951-7715/15/5/312 (Pubitemid 37023485)
5. Bandt, C. and Pompe, B., " Permutation entropy-a natural complexity measure for time series.," Phys. Rev. Lett. 0031-9007 88, 174102 (2002). 10.1103/PhysRevLett.88.174102
6. Block, L. S. and Coppel, W. A., Dynamics in One Dimension, Lecture Notes in Mathematics Vol. 1513 (Springer, New York, 1992).
7. Bowen, R., " Entropy for group endomorphism and homogeneous spaces.," Trans. Am. Math. Soc. 0002-9947 153, 401-414 (1971). 10.2307/1995565
8. Box, G. E. P., Jenkins, G. M., and Reinsel, G. C., Time Series Analysis: Forecasting and Control (Wiley, New York, 2008).
9. Cánovas, J. S., " Estimating topological entropy from individual orbits.," Int. J. Comput. Math. 0020-7160 (in press).
10. Conover, W. J., " Kolmogorov goodness-of-fit test for discontinuous distributions.," J. Am. Stat. Assoc. 0162-1459 67, 591-596 (1972). 10.2307/2284444
11. Gibbons, J. D. and Chakrabortis, S., Nonparametric Statistical Inference, 3rd ed. (Marcel Dekker, New York, 1992).
12. Hazewinkel, M., Encyclopaedia of Mathematics (Kluwer Academic, Dordrecht, 1995).
13. Li, T. Y. and Yorke, J. A., " Period three implies chaos.," Am. Math. Monthly 82, 985-992 (1975). 10.2307/2318254
14. Matilla, M. and Ruiz, M., " A non-parametric independence test using permutation entropy.," J. Econometr. 0304-4076 144, 139-155 (2008). 10.1016/j.jeconom.2007.12.005
15. Noether, G. E., " Note on the Kolmogorov statistics in the discrete case.," Metrika 0026-1335 7, 115-116 (1963). 10.1007/BF02613966