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Evaluation of Interpolants in Their Ability to Fit Seismometric Time Series

Author

Listed:
  • Kanadpriya Basu

    (Department of Mathematical Sciences, University of Texas at El Paso, Bell Hall 220, El Paso, TX 79968-0514, USA)

  • Maria C. Mariani

    (Department of Mathematical Sciences, University of Texas at El Paso, Bell Hall 124, El Paso, TX 79968-0514, USA)

  • Laura Serpa

    (Department of Geological Sciences, University of Texas at El Paso, El Paso, TX 79968-0514, USA)

  • Ritwik Sinha

    (Adobe Research and Development Pvt. Limited, Bangalore-560029, India)

Abstract

This article is devoted to the study of the ASARCO demolition seismic data. Two different classes of modeling techniques are explored: First, mathematical interpolation methods and second statistical smoothing approaches for curve fitting. We estimate the characteristic parameters of the propagation medium for seismic waves with multiple mathematical and statistical techniques, and provide the relative advantages of each approach to address fitting of such data. We conclude that mathematical interpolation techniques and statistical curve fitting techniques complement each other and can add value to the study of one dimensional time series seismographic data: they can be use to add more data to the system in case the data set is not large enough to perform standard statistical tests.

Suggested Citation

  • Kanadpriya Basu & Maria C. Mariani & Laura Serpa & Ritwik Sinha, 2015. "Evaluation of Interpolants in Their Ability to Fit Seismometric Time Series," Mathematics, MDPI, vol. 3(3), pages 1-24, August.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:3:p:666-689:d:53935
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    References listed on IDEAS

    as
    1. Mariani, M.C. & Florescu, I. & SenGupta, I. & Beccar Varela, M.P. & Bezdek, P. & Serpa, L., 2013. "Lévy models and scale invariance properties applied to Geophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 824-839.
    2. Habtemicael, Semere & SenGupta, Indranil, 2014. "Ornstein–Uhlenbeck processes for geophysical data analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 399(C), pages 147-156.
    3. Mariani, Maria C. & Basu, Kanadpriya, 2015. "Spline interpolation techniques applied to the study of geophysical data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 68-79.
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