Bootstrap Resampling Tests for Quantized Time Series
The aim of this article is to compare the spectral densities of original and quantized time series via bootstrap-based consistency tests. If the quantizing is based on Kohonen’s SOM algorithm then the spectral densities of the original and quantized time series are indistinguishable. We illustrate this via studies of bootstrap distributions of tests statistics that compare spectral densities. We obtain that when the quantizing is based on SOM algorithm then the density of the original time series and the spectral density of the quantized one are not significantly different.
KeywordsSpectral Density Original Time Series Bootstrap Confidence Interval Simultaneous Confidence Interval Move Block Bootstrap
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- EFRON, B. and TIBSHIRANI, R. (1993): An introduction to the bootstrap. Chapman and Hall, New York.Google Scholar
- GRENANDER, U. and ROSENBLATT, M. (1957): Statistical Analysis of Stationary Time Series. Wiley, New York.Google Scholar
- KEDEM, B. (1994): Time Series Analysis by Higher Order Crossings. IEEE Press, Piscataway, NJ.Google Scholar
- KOHONEN, T. (1995): Self-Organizing Maps. Springer Series in Information Sciences, Springer, Berlin.Google Scholar
- POLITIS, D.N., ROMANO, J.P., and WOLF, M. (1999): Subsampling, Springer, New York.Google Scholar
- SHUMWAY, R. and STOFFER, D. (2001): Applied Statistical Time Series Analysis. 2nd edition, Prentice Hall, Englewoods Cliffs.Google Scholar