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Extended triple collocation: Estimating errors and correlation coefficients with respect to an unknown target

Geophysical research letters, 2014-09, Vol.41 (17), p.6229-6236 [Peer Reviewed Journal]

2014. American Geophysical Union. All Rights Reserved. ;info:eu-repo/semantics/openAccess ;ISSN: 0094-8276 ;EISSN: 1944-8007 ;DOI: 10.1002/2014GL061322

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Title:
Extended triple collocation: Estimating errors and correlation coefficients with respect to an unknown target
Author: McColl, Kaighin A. ; Vogelzang, Jur ; Konings, Alexandra G. ; Entekhabi, Dara ; Piles, María ; Stoffelen, Ad
Subjects: Africa ; AMSR-E ; Business metrics ; Calibration ; Coefficients ; Collocation ; Correlation analysis ; Correlation coefficient ; Correlation coefficients ; Data ; Datasets ; Enginyeria civil ; Enginyeria de la telecomunicació ; Error analysis ; Errors ; Estimation ; Europe ; Geofísica ; Geologia ; Geophysics ; Humitat ; Measurement ; Measurement techniques ; Mesurament ; Microwave observations ; Model calibration ; Model validation ; Noise prediction ; Retrievals ; Satellite ; Signal to noise ratio ; Soil moisture ; Surface temperature ; Sòls ; Triple collocation ; Validation ; Wind data ; Àrees temàtiques de la UPC
Is Part Of: Geophysical research letters, 2014-09, Vol.41 (17), p.6229-6236
Description: Calibration and validation of geophysical measurement systems typically require knowledge of the “true” value of the target variable. However, the data considered to represent the “true” values often include their own measurement errors, biasing calibration, and validation results. Triple collocation (TC) can be used to estimate the root‐mean‐square‐error (RMSE), using observations from three mutually independent, error‐prone measurement systems. Here, we introduce Extended Triple Collocation (ETC): using exactly the same assumptions as TC, we derive an additional performance metric, the correlation coefficient of the measurement system with respect to the unknown target, ρt,Xi. We demonstrate that ρt,Xi2 is the scaled, unbiased signal‐to‐noise ratio and provides a complementary perspective compared to the RMSE. We apply it to three collocated wind data sets. Since ETC is as easy to implement as TC, requires no additional assumptions, and provides an extra performance metric, it may be of interest in a wide range of geophysical disciplines. Key Points Triple collocation is used to estimate the MSE of measurement system estimatesWe extend triple collocation to estimate the correlation coefficientThe new approach requires no additional assumptions or computational burden
Publisher: Washington: Blackwell Publishing Ltd
Language: English
Identifier: ISSN: 0094-8276
EISSN: 1944-8007
DOI: 10.1002/2014GL061322
Source: Recercat
Wiley Blackwell AGU Digital Library
Alma/SFX Local Collection

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Extended triple collocation: Estimating errors and correlation coefficients with respect to an unknown target

2014. American Geophysical Union. All Rights Reserved. ;info:eu-repo/semantics/openAccess ;ISSN: 0094-8276 ;EISSN: 1944-8007 ;DOI: 10.1002/2014GL061322

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