Order patterns in time series

Journal of Time Series Analysis

Volumn 28, Issue 5, 2007, Pages 646-665

  Bandt, Chstoph ^a,c   Shiha, Faten ^b,d  

^a Arndt University

^b MANSOURA UNIVERSITY   (Egypt)

^c UNIVERSITY OF GREIFSWALD   (Germany)

^d Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547837471     PISSN: 01439782     EISSN: 14679892     Source Type: Journal    
DOI: 10.1111/j.1467-9892.2007.00528.x     Document Type: Article

References (16)

1. Amigó, J. M. Kennel, M. B. Kocarev, L. (2005) The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems. Physica D 210, 77 95.
2. Bacon, R. H. (1963) Approximation to multivariate normal orthant probabilities. Annals of Mathematics and Statistics 34, 191 8.
3. Bandt, C. (2005) Ordinal time series analysis. Ecological Modelling 182, 229 38.
4. Bandt, C. Pompe, B. (2002) Permutation entropy: a natural complexity measure for time series. Physical Review Letters 88, 174102.
5. Bandt, C. Keller, G. Pompe, B. (2002) Entropy of interval maps via permutations. Nonlinearity 15, 1595 1602
6. Cao, Y. Tung, W. Gao, J. B. Protopopescu, V. A. Hively, L. M. (2004) Detecting dynamical changes in time series using the permutation entropy. Physical Review E 70, 046217.
7. Ferguson, S. T. Genest, C. Hallin, M. (2000) Kendall's tau for serial dependence. Canadian Journal of Statistics 28, 587 604.
8. Fulman, J. (2001) Applications of the Brauer complex: card shuffling, permutation statistics, and dynamcial systems. Journal of Algebra 243, 96 122.
9. Garel, B. Hallin, M. (1999) Rank-based autoregressive order identification, Journal of American Statistical Association 94, 1357 71.
10. Groth, A. (2005) Visualization of coupling in time series by order recurrence plots. Physical Review E 72, 046220.
11. Hallin, M. Jurečkova, J. (1999) Optimal tests for autoregressive models based on autoregression rank scores. Annals of Statistics 27, 1385 414
12. Keller, K. Lauffer, H. (2003) Symbolic analysis of high-dimensional time series. International Journal of Bifurcation and Chaos 13, 2428 32.
13. Ku, S. Seneta, E. (1994) The number of peaks in a stationary sample and orthant probabilities. Journal of Time Series Analysis 15, 385 403.
14. Plackett, R. L. (1954) A reduction formula for normal multivariate integrals. Biometrika 41, 351 60
15. Shiha, F. A. (2004) Distributions of Order Patterns in Time Series, PhD dissertation, Greifswald.
16. Shumway, R. H. Stoffer, D. S. (2000) Time Series Analysis and its Applications. Newyork : Springer.