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Geophysical Research Letters
Article . 2014 . Peer-reviewed
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Extended triple collocation: Estimating errors and correlation coefficients with respect to an unknown target

Authors: McColl, Kaighin Alexander; Vogelzang, Jur; Konings, Alexandra G.; Entekhabi, Dara; Piles Guillem, Maria; Stoffelen, Ad;

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

Abstract

AbstractCalibration 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, . We demonstrate that 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.

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United States, Spain
Keywords

Model calibration, Validation, :Enginyeria civil::Geologia [Àrees temàtiques de la UPC], Àrees temàtiques de la UPC::Enginyeria de la telecomunicació, Àrees temàtiques de la UPC::Enginyeria civil::Geologia, Microwave observations, Triple collocation, Soil moisture--Measurement, Model validation, AMSR-E, :Enginyeria de la telecomunicació [Àrees temàtiques de la UPC], Retrievals, Geofísica, Sòls -- Humitat -- Mesurament, Surface temperature, Europe, Geophysics, Correlation coefficient, Satellite, Africa, Signal-to-noise ratio, Soil-moisture, Model

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
views
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