The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.
On the robust estimation of power spectra, coherences, and transfer functions
Abstract
Robust estimation of power spectra, coherences, and transfer functions is investigated in the context of geophysical data processing. The methods described are frequency‐domain extensions of current techniques from the statistical literature and are applicable in cases where section‐averaging methods would be used with data that are contaminated by local nonstationarity or isolated outliers. The paper begins with a review of robust estimation theory, emphasizing statistical principles and the maximum likelihood or M‐estimators. These are combined with section‐averaging spectral techniques to obtain robust estimates of power spectra, coherences, and transfer functions in an automatic, data‐adaptive fashion. Because robust methods implicitly identify abnormal data, methods for monitoring the statistical behavior of the estimation process using quantile‐quantile plots are also discussed. The results are illustrated using a variety of examples from electromagnetic geophysics.
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Cites
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The Jackknife, the Bootstrap and Other Resampling Plans
Efron, B. (1982) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970319 · Cited by 8,120
Regression Diagnostics: Identifying Influential Data and Sources of Collinearity
Belsley, D. A., Kuh, E., & Welsch, R. E. (1980) · Wiley Series in Probability and Statistics · doi:10.1002/0471725153 · Cited by 7,297
Robust estimation of a location parameter
Huber, P. J. (1964) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177703732 · Cited by 7,228
Solving Least Squares Problems
Lawson, C. L., & Hanson, R. J. (1995) · doi:10.1137/1.9781611971217 · Cited by 7,103
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Regression Diagnostics -- Identifying Influential Data and Sources of Collinearity
Beaumont, C. D., Belsley, D. A., Kuh, E., & Welsch, R. E. (1981) · The Journal of the Operational Research Society · doi:10.2307/2581267 · Cited by 6,359
Spectral Analysis and Time Series
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Spectrum estimation and harmonic analysis
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Self-citationLeast Median of Squares Regression
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Cited by
Non-linear inversion using general measures of data misfit and model structure
Farquharson, C. G., & Oldenburg, D. W. (1998) · Geophysical Journal International · doi:10.1046/j.1365-246x.1998.00555.x · Cited by 423
Metadata
- Authors
- Chave, A. D., Thomson, D. J., & Ander, M. E.
- Venue
- Journal of Geophysical Research: Solid Earth
- Publisher
- American Geophysical Union (AGU)
- Published
- 1987-01-10
- Volume
- 92
- Issue
- B1
- Pages
- 633-648
- ISSN
- 0148-0227 (ISSN-L)
- OpenAlex
- W2005298535
- Cited by
- 349
- References
- 43
- FWCI
- 10.41
- Type
- journal article
- Language
- en
- Open access
- closed
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