Confidence limit of the magnetotelluric phase sensitive skew

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The rotationally invariant phase sensitive skew parameter, an indicator of dimensionality of conductivity structure, is a complicated non-linear function of the impedance tensor elements. In the presence of noise in the impedance data, skew can be significantly biased, leading to a false interpretation of dimensionality. Therefore, the probability function distribution of the skew parameter is derived to obtain its confidence limit, rather than treating a conventional linear propagation error. It is well known that the latter is only appropriate if the parameter is a function of independent random variables with small relative errors. The confidence limit is estimated by deriving its conditional probability function in terms of the tensor elements density function, using the Jacobi-matrix transformation of random variables, assuming the tensor elements to be normally distributed random variables. It is shown with synthetic and experimental data that the statistical confidence limit derived here truly reflects a probability range for the skew value. Bias of skew is seen to be significant with a small 5% of random Gaussian noise added to the tensor elements. Considering the 95% confidence limit instead of the measured skew itself results in a plausible approach to analyse dimensionality. The procedure developed here to estimate the confidence limit can also be extended to other functions of the tensor elements.

収録刊行物

  • Earth, planets and space

    Earth, planets and space 54(5), 451-457, 2002-05-01

    The Seismological Society of Japan, Society of Geomagnetism and Earth, Planetary and Space Sciences, The Volcanological Society of Japan , The Geodetic Society of Japan , The Japanese Society for Planetary Sciences

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各種コード

  • NII論文ID(NAID)
    10008600193
  • NII書誌ID(NCID)
    AA11211921
  • 本文言語コード
    ENG
  • 資料種別
    ART
  • ISSN
    13438832
  • NDL 記事登録ID
    6166034
  • NDL 雑誌分類
    ZM41(科学技術--地球科学)
  • NDL 請求記号
    Z54-J298
  • データ提供元
    CJP書誌  NDL  J-STAGE 
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