The effects of the irregular sample and missing data in time series analysis

Nonlinear Dynamics, Psychology, and Life Sciences

Volumn 10, Issue 2, 2006, Pages 187-214

  Kreindler, David M ^a,b   Lumsden, Charles J ^a  

^a UNIVERSITY OF TORONTO   (Canada)

^b SUNNYBROOK RESEARCH INSTITUTE   (Canada)

Author keywords

Nonlinear analysis; Scaling; Simulation; Time series analysis

Indexed keywords

EID: 33745179188     PISSN: 10900578     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. American Psychiatric Association. (1994). Diagnostic and statistical manual of mental disorders (4th ed.). Washington, D.C.: American Psychiatric Association.
2. Bak, P., Christensen, K., Danon, L., & Scanlon, T. (2002). Unified scaling law for earthquakes. Phyical Review Letters, 88, 178501.
3. Bak, P. (1996). How nature works: The science of self-organized criticality. New York: Copernicus / Springer-Verlag Inc.
4. Christensen, K., Danon, L., Scanlon, T., & Bak, P. (2002). Unified scaling law for earthquakes. Proc Natl Acad Sci U S A, 99 Suppl 1, 2509-2513.
5. Cohen, J. D., & Servan-Schreiber, D. (1992). A neural network model of catecholamine modulation of behavior. Psychiatric Annals, 22, 125-129.
6. Dimri, V. P., & Prakash, M. R. (2001). Scaling of power spectrum of extinction events in the fossil record. Earth and Planetary Science Letters, 186, 363-370.
7. Farmer, D., Crutchfield, J., Frochling, H., Packard, N., & Shaw, R. (1980). Power spectra and mixing properties of strange attractors. Annals of the New York Academy of Sciences, 357, 453-472.
8. Gottschalk, A., Bauer, M. S., & Whybrow, P. C. (1995). Evidence of chaotic mood variation in bipolar disorder. Archives of General Psychiatry, 52, 947-959.
9. Grassberger, P., & Procaccia, I. (1983). Characterization of strange attractors. Physical Review Letters, 50, 346-349.
10. Hegger, R., Kantz, H., & Schreiber, T. (1999). Practical implementation of nonlinear time series methods: The TISEAN package. Chaos, 9, 413.
11. Hegger, R., Kantz, H., & Schreiber, T. (2000) TISEAN 2.1 Nonlinear Time Series Analysis [Web Page]. Retrieved from http://www.mpipks-dresden.mpg. de/~tisean February 16, 2005.
12. Hyland, M. E., Kenyon, C. A. P., Allen, R., & Howarth, P. (1993). Diary keeping in asthma: comparison of written and electronic methods. British Medical Journal, 306, 487.
13. Jensen, H. J. (1998). Self-organized criticality: Emergent complex behavior in physical and biological systems (Cambridge Lecture Notes in Physics No. #10). Cambridge, U.K: Cambridge University Press.
14. Kantz, H., & Schreiber, T. (1999). Nonlinear time series analysis (Cambridge Nonlinear Science Series.) New York: Cambridge University Press.
15. th annual international conference of the Society for Chaos Theory in Psychology and the Life Sciences, Milwaukee, WI.
16. th Annual Meeting of the Canadian Psychiatric Association, Montreal PQ.
17. th annual international conference of the Society for Chaos Theory in Psychology and the Life Sciences, Boston MA.
18. Kreindler, D., & Lumsden, C. (1999). The Mathematics of mood variation: mood scaling via self-organized criticality. Poster presentation to the American Psychiatric Association Annual Convention, Washington DC.
19. th annual international conference of the Society for Chaos Theory in Psychology and the Life Sciences, Portland OR.
20. Kreindler, D., Levitt, A., Woolridge, N., & Lumsden, C. J. (2003). Portable mood mapping: the validity and reliability of analog scale displays for mood assessment via hand-held computer. Psychiatry Research, 120, 165-177.
21. Lomb, N. R. (1976). Least-squares analysis of unequally spaced data. Astrophysics and Space Science, 39, 447-462.
22. Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (1993). Numerical recipes in C: The art of scientific computing (2nd ed.).Cambridge, MA: Cambridge University Press.
23. Ruelle, D. (1990). The Claude Bernard Lecture, 1989. Deterministic chaos: The science and the fiction. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 427, 241-248.
24. Silipo, R., Deco, G., Vergassola, R., & Bartsch, H. (1998). Dynamics extraction in multivariate biomedical time series, Biological Cybernetics, 79, 15-27.
25. Sprott, J. C. (2001) Multifractals: Chaos and time-series analysis. 11/28/00 Lecture #13 in Physics 505, University of Wisconsin Madison, [Web Page]. Retrieved from http://sprott.physics.wisc.edu/phys505/lect13.htm. October, 2004.
26. Sprott, J. C. (2003). Chaos and time-series analysis. New York: Oxford University Press.
27. Tsonis, A. A., & Elsner, J. B. (1989). Chaos, strange attractors, and weather. Bulletin of the American Meterological Society, 70, 14-23.
28. Turcotte, D. L. (2001). Self-organized criticality: Does it have anything to with criticality and is it useful? Nonlinear Processes in Geophysics, 8, 193-196.
29. Wan, E. A. Time Series Data [Web Page]. Retrieved from http://www.cse.ogi.edu/~cricwan/data.html February 1, 2005.