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Time-frequency clustering and discriminant analysis

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  • Shumway, Robert H.

Abstract

We consider the use of time-varying spectra for classification and clustering of non-stationary time series. In particular, recent developments using local stationarity and Kullback-Leibler discrimination measures of distance are exploited for classifying earthquakes and mining explosions at regional distances.

Suggested Citation

  • Shumway, Robert H., 2003. "Time-frequency clustering and discriminant analysis," Statistics & Probability Letters, Elsevier, vol. 63(3), pages 307-314, July.
    • Handle: RePEc:eee:stapro:v:63:y:2003:i:3:p:307-314
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    References listed on IDEAS

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    1. Ombao H. C & Raz J. A & von Sachs R. & Malow B. A, 2001. "Automatic Statistical Analysis of Bivariate Nonstationary Time Series," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 543-560, June.
    2. Dahlhaus, R., 1996. "On the Kullback-Leibler information divergence of locally stationary processes," Stochastic Processes and their Applications, Elsevier, vol. 62(1), pages 139-168, March.
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    Citations

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    Cited by:

    1. Hossein Hassani & Mohammad Reza Yeganegi & Emmanuel Sirimal Silva, 2018. "A New Signal Processing Approach for Discrimination of EEG Recordings," Stats, MDPI, vol. 1(1), pages 1-14, November.
    2. Maharaj, Elizabeth Ann & Alonso Fernández, Andrés Modesto, 2012. "Discriminant analysis of multivariate time series using wavelets," DES - Working Papers. Statistics and Econometrics. WS ws120603, Universidad Carlos III de Madrid. Departamento de Estadística.
    3. Andrés Alonso & David Casado & Sara López-Pintado & Juan Romo, 2014. "Robust Functional Supervised Classification for Time Series," Journal of Classification, Springer;The Classification Society, vol. 31(3), pages 325-350, October.
    4. Hirukawa, Junichi & Raïssi, Hamdi, 2020. "Testing linear relationships between non-constant variances of economic variables," Economic Modelling, Elsevier, vol. 90(C), pages 182-189.
    5. Liu, Shen & Maharaj, Elizabeth Ann & Inder, Brett, 2014. "Polarization of forecast densities: A new approach to time series classification," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 345-361.
    6. Zhelin Huang & Ngai Hang Chan, 2020. "Walsh Fourier Transform of Locally Stationary Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 41(2), pages 312-340, March.
    7. Alonso Fernández, Andrés Modesto & Casado, David & López Pintado, Sara & Romo, Juan, 2008. "A functional data based method for time series classification," DES - Working Papers. Statistics and Econometrics. WS ws087427, Universidad Carlos III de Madrid. Departamento de Estadística.
    8. Giuseppe Ciaburro & Gino Iannace, 2021. "Machine Learning-Based Algorithms to Knowledge Extraction from Time Series Data: A Review," Data, MDPI, vol. 6(6), pages 1-30, May.
    9. Maharaj, Elizabeth Ann & D’Urso, Pierpaolo, 2010. "A coherence-based approach for the pattern recognition of time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3516-3537.
    10. Maharaj, Elizabeth A. & Alonso, Andres M., 2007. "Discrimination of locally stationary time series using wavelets," Computational Statistics & Data Analysis, Elsevier, vol. 52(2), pages 879-895, October.
    11. S. Yaser Samadi & L. Billard & M. R. Meshkani & A. Khodadadi, 2017. "Canonical correlation for principal components of time series," Computational Statistics, Springer, vol. 32(3), pages 1191-1212, September.
    12. Corduas, Marcella & Piccolo, Domenico, 2008. "Time series clustering and classification by the autoregressive metric," Computational Statistics & Data Analysis, Elsevier, vol. 52(4), pages 1860-1872, January.
    13. Maharaj, Elizabeth Ann & Alonso, Andrés M., 2014. "Discriminant analysis of multivariate time series: Application to diagnosis based on ECG signals," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 67-87.
    14. Fryzlewicz, Piotr & Ombao, Hernando, 2009. "Consistent classification of non-stationary time series using stochastic wavelet representations," LSE Research Online Documents on Economics 25162, London School of Economics and Political Science, LSE Library.

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