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Visualization and inference based on wavelet coefficients, SiZer and SiNos

Author

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  • Park, Cheolwoo
  • Godtliebsen, Fred
  • Taqqu, Murad
  • Stoev, Stilian
  • Marron, J.S.

Abstract

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Suggested Citation

  • Park, Cheolwoo & Godtliebsen, Fred & Taqqu, Murad & Stoev, Stilian & Marron, J.S., 2007. "Visualization and inference based on wavelet coefficients, SiZer and SiNos," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 5994-6012, August.
    • Handle: RePEc:eee:csdana:v:51:y:2007:i:12:p:5994-6012
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    References listed on IDEAS

    as
    1. Hannig, J. & Marron, J.S., 2006. "Advanced Distribution Theory for SiZer," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 484-499, June.
    2. J. Bardet & G. Lang & E. Moulines & P. Soulier, 2000. "Wavelet Estimator of Long-Range Dependent Processes," Statistical Inference for Stochastic Processes, Springer, vol. 3(1), pages 85-99, January.
    3. Cheolwoo Park & J. S. Marron & Vitaliana Rondonotti, 2004. "Dependent SiZer: Goodness-of-Fit Tests for Time Series Models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(8), pages 999-1017.
    4. Stoev, Stilian & Taqqu, Murad S. & Park, Cheolwoo & Michailidis, George & Marron, J.S., 2006. "LASS: a tool for the local analysis of self-similarity," Computational Statistics & Data Analysis, Elsevier, vol. 50(9), pages 2447-2471, May.
    5. Vadim Teverovsky & Murad Taqqu, 1997. "Testing for long‐range dependence in the presence of shifting means or a slowly declining trend, using a variance‐type estimator," Journal of Time Series Analysis, Wiley Blackwell, vol. 18(3), pages 279-304, May.
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    Cited by:

    1. Huh, Jib & Park, Cheolwoo, 2015. "Theoretical investigation of an exploratory approach for log-density in scale-space," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 272-279.
    2. Lasse Holmström & Leena Pasanen, 2017. "Statistical Scale Space Methods," International Statistical Review, International Statistical Institute, vol. 85(1), pages 1-30, April.
    3. Cheolwoo Park & Yongho Jeon & Kee-Hoon Kang, 2016. "An exploratory data analysis in scale-space for interval-valued data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(14), pages 2643-2660, October.
    4. Olsen, Lena Ringstad & Chaudhuri, Probal & Godtliebsen, Fred, 2008. "Multiscale spectral analysis for detecting short and long range change points in time series," Computational Statistics & Data Analysis, Elsevier, vol. 52(7), pages 3310-3330, March.

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