- Statist. Sci.
- Volume 15, Number 3 (2000), 224-253.
The spectral envelope and its applications
The concept of the spectral envelope was recently introduced as a statistical basis for the frequency domain analysis and scaling of qualitative-valued time series. In the process of developing the spectral envelope methodology, many other interesting extensions became evident. In this article we explain the basic concept and give numerous examples of the usefulness of the technology. These examples include analyses of DNA sequences, finding optimal transformations for the analysis of real-valued time series, residual analysis, detecting common signals in many time series,and the analysis of textures.
Statist. Sci., Volume 15, Number 3 (2000), 224-253.
First available in Project Euclid: 24 December 2001
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Spectral envelope optimal scaling Fourier analysis latent roots and vectors principal components canonical correlation signal detection optimal transformations coherency random fields categorical-valued time series EEG sleep states DNA US GNP growth rate residual analysis long range dependence matching sequences functional magnetic resonance imaging (fMRI) pain perception textures image retrival
Stoffer, David S.; Tyler, David E.; Wendt, David A. The spectral envelope and its applications. Statist. Sci. 15 (2000), no. 3, 224--253. doi:10.1214/ss/1009212816. https://projecteuclid.org/euclid.ss/1009212816